Solution Manual for Math Lit, 2nd Edition
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INSTRUCTOR’S
RESOURCE MANUAL
WITH CONTRIBUTIONS FROM
RACHEL E. JOHNSON
Harry S Truman College
MATH LIT
A PATHWAY TO COLLEGE MATHEMATICS
SECOND EDITION
Kathleen Almy
Rock Valley College
Heather Foes
Rock Valley College
RESOURCE MANUAL
WITH CONTRIBUTIONS FROM
RACHEL E. JOHNSON
Harry S Truman College
MATH LIT
A PATHWAY TO COLLEGE MATHEMATICS
SECOND EDITION
Kathleen Almy
Rock Valley College
Heather Foes
Rock Valley College
iii
CONTENTS
Introduction .............................................................................................................................................. iv
Quizzes
Cycle 1 ..................................................................................................................................................... 1
Cycle 2 ..................................................................................................................................................... 6
Cycle 3 ................................................................................................................................................... 10
Cycle 4 ................................................................................................................................................... 15
Half Cycle Exams
Cycle 1 ................................................................................................................................................... 20
Cycle 2 ................................................................................................................................................... 27
Cycle 3 ................................................................................................................................................... 33
Cycle 4 ................................................................................................................................................... 42
Exams
Cycle 1 ................................................................................................................................................... 50
Cycle 2 ................................................................................................................................................... 66
Cycle 3 ................................................................................................................................................... 78
Cycle 4 ................................................................................................................................................... 90
Final Exam ............................................................................................................................................. 103
Answers
Quizzes ................................................................................................................................................. 115
Half Cycle Exams ................................................................................................................................ 119
Exams ................................................................................................................................................... 127
Final Exam ........................................................................................................................................... 143
CONTENTS
Introduction .............................................................................................................................................. iv
Quizzes
Cycle 1 ..................................................................................................................................................... 1
Cycle 2 ..................................................................................................................................................... 6
Cycle 3 ................................................................................................................................................... 10
Cycle 4 ................................................................................................................................................... 15
Half Cycle Exams
Cycle 1 ................................................................................................................................................... 20
Cycle 2 ................................................................................................................................................... 27
Cycle 3 ................................................................................................................................................... 33
Cycle 4 ................................................................................................................................................... 42
Exams
Cycle 1 ................................................................................................................................................... 50
Cycle 2 ................................................................................................................................................... 66
Cycle 3 ................................................................................................................................................... 78
Cycle 4 ................................................................................................................................................... 90
Final Exam ............................................................................................................................................. 103
Answers
Quizzes ................................................................................................................................................. 115
Half Cycle Exams ................................................................................................................................ 119
Exams ................................................................................................................................................... 127
Final Exam ........................................................................................................................................... 143
INTRODUCTION
The Instructor’s Resource Manual is designed to complement the Math Lit, 2nd edition instructor
support package. The Annotated Instructor’s Edition and Instructor Guide provide assistance to
instructors for each cycle as a whole, as well as each section. This manual provides additional
assessment items to support instructors at the course level. The following are included:
• Quizzes (Forms A and B) for each half of each cycle
• Half Cycle Exams
• Exams (Forms A and B) for each cycle
• Final Exam
• Answers to quizzes and exams
Math Lit, 2nd Edition uses a balanced approach to assessment, placing equal emphasis on skills,
concepts and applications. Two quiz forms are provided for the first and second halves of each
cycle. Form A is similar to the recaps provided in the text. It includes three to four unrelated
problems that assess skills, concepts, and applications from that part of the worktext. Form B
takes one scenario and asks several questions about it. Often, the questions are more involved
and difficult. This form is suitable for an individual quiz but also can be used for a group quiz.
These quizzes can be used alone or in tandem with exercises and quizzes provided in
MyMathLab.
New to the second edition are half cycle exams. An exam is provided for the first and second
halves of each cycle.
Two exam forms are provided for each cycle. Forms A and B are similar in approach and
emphasis. Approximately half of each exam addresses skills while the remaining half addresses
concepts and applications.
Answers for all quizzes and exams are included at the end of this manual.
Additional course-level instructor support items include the Instructor’s Solutions Manual and
TestGen® testbank, available electronically.
The Instructor’s Resource Manual is designed to complement the Math Lit, 2nd edition instructor
support package. The Annotated Instructor’s Edition and Instructor Guide provide assistance to
instructors for each cycle as a whole, as well as each section. This manual provides additional
assessment items to support instructors at the course level. The following are included:
• Quizzes (Forms A and B) for each half of each cycle
• Half Cycle Exams
• Exams (Forms A and B) for each cycle
• Final Exam
• Answers to quizzes and exams
Math Lit, 2nd Edition uses a balanced approach to assessment, placing equal emphasis on skills,
concepts and applications. Two quiz forms are provided for the first and second halves of each
cycle. Form A is similar to the recaps provided in the text. It includes three to four unrelated
problems that assess skills, concepts, and applications from that part of the worktext. Form B
takes one scenario and asks several questions about it. Often, the questions are more involved
and difficult. This form is suitable for an individual quiz but also can be used for a group quiz.
These quizzes can be used alone or in tandem with exercises and quizzes provided in
MyMathLab.
New to the second edition are half cycle exams. An exam is provided for the first and second
halves of each cycle.
Two exam forms are provided for each cycle. Forms A and B are similar in approach and
emphasis. Approximately half of each exam addresses skills while the remaining half addresses
concepts and applications.
Answers for all quizzes and exams are included at the end of this manual.
Additional course-level instructor support items include the Instructor’s Solutions Manual and
TestGen® testbank, available electronically.
Loading page 4...
Quiz 1
Name _______________________________________
Math Lit Cycle 1, Quiz for First Half (Sections 1.1–1.8), Form A
1. If a lawyer bills $350/hour, how much does he make every second? How much does he
make per year? Assume he works 50 hours per week, 48 weeks per year.
2. The student to teacher ratio is 19:1 at a local school and there is a total of 500 students
and teachers. How many teachers and how many students are there?
3. Show all your work on the following fraction operations. If the answer is larger than one,
convert to a mixed number.
a.7 5
9 12
+ = b.2 3
9 4
=
4. A recipe calls for3
4 cup of sugar to make 18 cookies. How many cookies can you make
with 6 cups of sugar?
Name _______________________________________
Math Lit Cycle 1, Quiz for First Half (Sections 1.1–1.8), Form A
1. If a lawyer bills $350/hour, how much does he make every second? How much does he
make per year? Assume he works 50 hours per week, 48 weeks per year.
2. The student to teacher ratio is 19:1 at a local school and there is a total of 500 students
and teachers. How many teachers and how many students are there?
3. Show all your work on the following fraction operations. If the answer is larger than one,
convert to a mixed number.
a.7 5
9 12
+ = b.2 3
9 4
=
4. A recipe calls for3
4 cup of sugar to make 18 cookies. How many cookies can you make
with 6 cups of sugar?
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2 Quiz
Name _______________________________________
Math Lit Cycle 1, Quiz for First Half (Sections 1.1–1.8), Form B
1. Throughout the course of a trip, a family travels from 865 feet above sea level to
122 feet below sea level. How many feet did the family descend?
a. Choose the calculation that describes the scenario.
A.122 865− B.865 122−
C.122 865− − D.865 ( 122)− −
b. List the result.
2. Compute the following fraction operations.
a.7 5 7 5
5 6 5 6
− − − = − − =
b.7 5
5 6
− − =
3. Create a data set with six different values that has an average of ‒1.
4. Of the 1,300 people who responded to a pole about coffee, 455 claimed they liked it
plain. What is the relative frequency of people who drink their coffee plain?
Name _______________________________________
Math Lit Cycle 1, Quiz for First Half (Sections 1.1–1.8), Form B
1. Throughout the course of a trip, a family travels from 865 feet above sea level to
122 feet below sea level. How many feet did the family descend?
a. Choose the calculation that describes the scenario.
A.122 865− B.865 122−
C.122 865− − D.865 ( 122)− −
b. List the result.
2. Compute the following fraction operations.
a.7 5 7 5
5 6 5 6
− − − = − − =
b.7 5
5 6
− − =
3. Create a data set with six different values that has an average of ‒1.
4. Of the 1,300 people who responded to a pole about coffee, 455 claimed they liked it
plain. What is the relative frequency of people who drink their coffee plain?
Loading page 6...
Quiz 3
Name _______________________________________
Math Lit Cycle 1, Quiz for Second Half (Sections 1.9–1.16), Form A
1. John weighs 210 pounds. His goal for the new year is to lose 10% of his body weight
a. How many pounds does he want to lose?
b. By September, he has achieved his goal, but starts to return to his old eating
habits. By the following January, he has gained 10% of the weight he was in
September. How much does he weigh now?
c. Over the course of the year, from the previous new year to the current one, what
was his overall weight change in terms of a percent? Overall, did he gain or lose
for the year?
2. Use this expression to answer the following questions:3 4 15x xy− +
a. How many terms are in the expression?
b. List the variable(s) in the expression.
c. List the constant(s) in the expression.
3. About 1 in 9 babies in the U.S. are born premature each year.
a. What percent of babies in the U.S. are born premature? Round to the nearest
whole number.
b. If 4 million babies were born in the U.S. last year, how many should have been
born premature? Round to the nearest whole number.
4. Determine the pattern used to form the Outputs from the Inputs in the following table.
Input Output
3 10
7 22
11 34
15 46
Name _______________________________________
Math Lit Cycle 1, Quiz for Second Half (Sections 1.9–1.16), Form A
1. John weighs 210 pounds. His goal for the new year is to lose 10% of his body weight
a. How many pounds does he want to lose?
b. By September, he has achieved his goal, but starts to return to his old eating
habits. By the following January, he has gained 10% of the weight he was in
September. How much does he weigh now?
c. Over the course of the year, from the previous new year to the current one, what
was his overall weight change in terms of a percent? Overall, did he gain or lose
for the year?
2. Use this expression to answer the following questions:3 4 15x xy− +
a. How many terms are in the expression?
b. List the variable(s) in the expression.
c. List the constant(s) in the expression.
3. About 1 in 9 babies in the U.S. are born premature each year.
a. What percent of babies in the U.S. are born premature? Round to the nearest
whole number.
b. If 4 million babies were born in the U.S. last year, how many should have been
born premature? Round to the nearest whole number.
4. Determine the pattern used to form the Outputs from the Inputs in the following table.
Input Output
3 10
7 22
11 34
15 46
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4 Quiz
Name _______________________________________
Math Lit Cycle 1, Quiz for Second Half (Sections 1.9–1.16), Form B
On average, a new car will lose 20% of its value each year. This loss of value is known as
depreciation.
1. How much will the car be worth in 10 years? Consider using the table provided.
2. If you want to use Excel to fill in the table above, what formula would you use to
generate the next year that would be listed in cell A3? What formula would you use to
generate the next dollar value that would be listed in cell B3? Note: You would use the
“fill down” command after entering these formulas to complete the table.
A3 =
B3 =
Name _______________________________________
Math Lit Cycle 1, Quiz for Second Half (Sections 1.9–1.16), Form B
On average, a new car will lose 20% of its value each year. This loss of value is known as
depreciation.
1. How much will the car be worth in 10 years? Consider using the table provided.
2. If you want to use Excel to fill in the table above, what formula would you use to
generate the next year that would be listed in cell A3? What formula would you use to
generate the next dollar value that would be listed in cell B3? Note: You would use the
“fill down” command after entering these formulas to complete the table.
A3 =
B3 =
Loading page 8...
Quiz 5
3. Is the depreciation linear or exponential? Explain your response.
4. After 10 years, the car will be worth ________% of the value paid at the dealership when
it was new. Complete the blank, rounding the value to the nearest whole percent.
3. Is the depreciation linear or exponential? Explain your response.
4. After 10 years, the car will be worth ________% of the value paid at the dealership when
it was new. Complete the blank, rounding the value to the nearest whole percent.
Loading page 9...
6 Quiz
Name _______________________________________
Math Lit Cycle 2, Quiz for First Half (Sections 2.1–2.9), Form A
1. Simplify each expression.
a.( )
( )
20 3
2 3x x− − b.( )( )
20 3
2 3x x− −
c.( )
1
3
27−
2. Evaluate2
5x y
z
− when:
a.2, 4, 1x y z= − = − = −
b.5, 5, 1x y z= = = −
c.2, 4, 0x y z= − = − =
3. Simplify.
a.( )
2 5 6x− − b.( )( )
2 5 6x− −
c.( )
2 5 6x− − d.2 5 6x− −
4. The following data set represents the number of sales each week for a 6-week period
for a salesman. Find the mean, median, and mode for the data set. Round all results
to two decimal places.
2 0 6 12 4 6
Mean: Median: Mode:
Name _______________________________________
Math Lit Cycle 2, Quiz for First Half (Sections 2.1–2.9), Form A
1. Simplify each expression.
a.( )
( )
20 3
2 3x x− − b.( )( )
20 3
2 3x x− −
c.( )
1
3
27−
2. Evaluate2
5x y
z
− when:
a.2, 4, 1x y z= − = − = −
b.5, 5, 1x y z= = = −
c.2, 4, 0x y z= − = − =
3. Simplify.
a.( )
2 5 6x− − b.( )( )
2 5 6x− −
c.( )
2 5 6x− − d.2 5 6x− −
4. The following data set represents the number of sales each week for a 6-week period
for a salesman. Find the mean, median, and mode for the data set. Round all results
to two decimal places.
2 0 6 12 4 6
Mean: Median: Mode:
Loading page 10...
Quiz 7
Name _______________________________________
Math Lit Cycle 2, Quiz for First Half (Sections 2.1–2.9), Form B
1. Find the mean of these values assuming the first 4 values each have a weight of 20%
and the last 2 each have a weight of 10%: 5,11,13,17,22,35
2. A can of soda that is 5 inches tall and 2.5 inches in diameter. If the can is filled3
4
the way to the top, how much soda is in the can?
3. Rewrite each expression, using the stated property.
a.( )
2a b c+ + associative property of addition.
b.( )
2 a b+ commutative property of multiplication.
4. Simplify.
a.2
( 3)(2 5 6)x x x− − + b.2
3( 4 5) (7 8)x x x− + − −
5. You thought a shirt costs $65, but your prediction was $15 less than2
3 the actual cost of
the shirt. Give an algebraic expression for this statement and solve it.
Name _______________________________________
Math Lit Cycle 2, Quiz for First Half (Sections 2.1–2.9), Form B
1. Find the mean of these values assuming the first 4 values each have a weight of 20%
and the last 2 each have a weight of 10%: 5,11,13,17,22,35
2. A can of soda that is 5 inches tall and 2.5 inches in diameter. If the can is filled3
4
the way to the top, how much soda is in the can?
3. Rewrite each expression, using the stated property.
a.( )
2a b c+ + associative property of addition.
b.( )
2 a b+ commutative property of multiplication.
4. Simplify.
a.2
( 3)(2 5 6)x x x− − + b.2
3( 4 5) (7 8)x x x− + − −
5. You thought a shirt costs $65, but your prediction was $15 less than2
3 the actual cost of
the shirt. Give an algebraic expression for this statement and solve it.
Loading page 11...
8 Quiz
Name _______________________________________
Math Lit Cycle 2, Quiz for Second Half (Sections 2.10–2.17), Form A
1. A right triangular staircase has a vertical height of 13 feet and a horizontal length of
12 feet. What is the length of the staircase?
2. Solve each equation. Round results to two decimal places.
a.( )
1.05 2 4 11.99x + = b.( )
17 15 3 5 14x x x− + = − − −
3. Solve5 3 1
3 2
x x− − +
=
4. A bag contains 3 green chips, 5 black chips, and 6 red chips. One chip is randomly
drawn from the bag. Find the following probabilities:
a. Drawing a green chip.
b. Drawing a black chip.
Name _______________________________________
Math Lit Cycle 2, Quiz for Second Half (Sections 2.10–2.17), Form A
1. A right triangular staircase has a vertical height of 13 feet and a horizontal length of
12 feet. What is the length of the staircase?
2. Solve each equation. Round results to two decimal places.
a.( )
1.05 2 4 11.99x + = b.( )
17 15 3 5 14x x x− + = − − −
3. Solve5 3 1
3 2
x x− − +
=
4. A bag contains 3 green chips, 5 black chips, and 6 red chips. One chip is randomly
drawn from the bag. Find the following probabilities:
a. Drawing a green chip.
b. Drawing a black chip.
Loading page 12...
Quiz 9
Name _______________________________________
Math Lit Cycle 2, Quiz for Second Half (Sections 2.10–2.17), Form B
Archimedes discovered that the volume of a sphere is two-thirds the volume of the smallest
cylinder that surrounds the sphere.
The volume of any cylinder is given by the formula:( ) ( )
2
radius of cylinder height of cylinderV
=
1. Find the volume of a sphere using the relationship between a sphere and cylinder that
Archimedes found and the formula for the volume of a cylinder.
Archimedes also discovered that the surface area of a sphere is two-thirds the surface area of the
smallest cylinder that surrounds the sphere.
The surface area of any cylinder is given by the formula:( ) ( )( )
2
2 radius of the cylinder 2 radius of the cylinder height of the cylinderSA
= +
2. Find the surface area of a sphere using the relationship between a sphere and cylinder that
Archimedes found and the formula for the surface area of a cylinder.
Name _______________________________________
Math Lit Cycle 2, Quiz for Second Half (Sections 2.10–2.17), Form B
Archimedes discovered that the volume of a sphere is two-thirds the volume of the smallest
cylinder that surrounds the sphere.
The volume of any cylinder is given by the formula:( ) ( )
2
radius of cylinder height of cylinderV
=
1. Find the volume of a sphere using the relationship between a sphere and cylinder that
Archimedes found and the formula for the volume of a cylinder.
Archimedes also discovered that the surface area of a sphere is two-thirds the surface area of the
smallest cylinder that surrounds the sphere.
The surface area of any cylinder is given by the formula:( ) ( )( )
2
2 radius of the cylinder 2 radius of the cylinder height of the cylinderSA
= +
2. Find the surface area of a sphere using the relationship between a sphere and cylinder that
Archimedes found and the formula for the surface area of a cylinder.
Loading page 13...
10 Quiz
Name _______________________________________
Math Lit Cycle 3, Quiz for First Half (Sections 3.1–3.8), Form A
Jamie is working with his father to replace the worn shingles on their detached garage. While
there will be several materials to buy, the shingles will be the most expensive material to
purchase. Complete the following problems to find the cost of the shingles. Begin by finding the
dimensions of one side of the roof. Then find the total area of the roof, the amount of shingles
necessary, and their total cost.
1. The roof has a 4:12 slope, meaning there are 4 units of rise for every 12 units of run.
Slope relationship in roof:
Use the slope relationship and the dimensions of the garage to find the height, h, of the
triangular end of the garage.
2. Find the length, l, of the slant of the roof.
3. Find the area of one side of the roof.
4. Find the total area of the roof.
Name _______________________________________
Math Lit Cycle 3, Quiz for First Half (Sections 3.1–3.8), Form A
Jamie is working with his father to replace the worn shingles on their detached garage. While
there will be several materials to buy, the shingles will be the most expensive material to
purchase. Complete the following problems to find the cost of the shingles. Begin by finding the
dimensions of one side of the roof. Then find the total area of the roof, the amount of shingles
necessary, and their total cost.
1. The roof has a 4:12 slope, meaning there are 4 units of rise for every 12 units of run.
Slope relationship in roof:
Use the slope relationship and the dimensions of the garage to find the height, h, of the
triangular end of the garage.
2. Find the length, l, of the slant of the roof.
3. Find the area of one side of the roof.
4. Find the total area of the roof.
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Quiz 11
5. A “square” is a unit of measure in construction. It is the area contained in a 10 foot by 10
foot square. Find the number of squares, rounded up to the nearest whole number, in the
total roof area.
6. It takes three bundles of shingles to cover a square. How many bundles of shingles are
needed to cover the roof?
7. Each bundle costs $24.68. Compute the total cost of the shingles assuming there will be a
7.75% sales tax.
5. A “square” is a unit of measure in construction. It is the area contained in a 10 foot by 10
foot square. Find the number of squares, rounded up to the nearest whole number, in the
total roof area.
6. It takes three bundles of shingles to cover a square. How many bundles of shingles are
needed to cover the roof?
7. Each bundle costs $24.68. Compute the total cost of the shingles assuming there will be a
7.75% sales tax.
Loading page 15...
12 Quiz
Name _______________________________________
Math Lit Cycle 3, Quiz for First Half (Sections 3.1–3.8), Form B
A mom needs to stock up on school uniforms for her son and is comparing online and in-store
pricing. At a store in her town, uniforms are sold for $45 for a set (any top and any bottom). Her
town has a 7.25% sales tax. At the online store, she can purchase each piece for $20 (any top or
bottom). There is no sales tax and just a flat rate shipping of $9.99.
1. Write a cost model for the cost of a uniform set (includes 2 pieces) at the online store.
Use meaningful variables and define them.
2. If we were to graph the model from #1, which variable will be on the x-axis and which
will be on the y-axis?
3. Is the online cost model linear? If so, state and interpret the slope and y-intercept. If not,
explain why it is not linear.
4. How many uniform sets would she have to purchase to make it worth buying them
online?
Name _______________________________________
Math Lit Cycle 3, Quiz for First Half (Sections 3.1–3.8), Form B
A mom needs to stock up on school uniforms for her son and is comparing online and in-store
pricing. At a store in her town, uniforms are sold for $45 for a set (any top and any bottom). Her
town has a 7.25% sales tax. At the online store, she can purchase each piece for $20 (any top or
bottom). There is no sales tax and just a flat rate shipping of $9.99.
1. Write a cost model for the cost of a uniform set (includes 2 pieces) at the online store.
Use meaningful variables and define them.
2. If we were to graph the model from #1, which variable will be on the x-axis and which
will be on the y-axis?
3. Is the online cost model linear? If so, state and interpret the slope and y-intercept. If not,
explain why it is not linear.
4. How many uniform sets would she have to purchase to make it worth buying them
online?
Loading page 16...
Quiz 13
Name _______________________________________
Math Lit Cycle 3, Quiz for Second Half (Sections 3.9–3.16), Form A
1. Factor the GCF:3 2
15 45 30x x y x− + −
2. Find the slope and y-intercept:8 12 24x y− =
3. a. Identify the initial value and the growth rate in the exponential function:4 1.2x
y =
b. Identify the vertex and y-intercept of the quadratic function:2
3 30 76y x x= − +
4. Write a 2 × 2 system of linear equations that has no solution.
Name _______________________________________
Math Lit Cycle 3, Quiz for Second Half (Sections 3.9–3.16), Form A
1. Factor the GCF:3 2
15 45 30x x y x− + −
2. Find the slope and y-intercept:8 12 24x y− =
3. a. Identify the initial value and the growth rate in the exponential function:4 1.2x
y =
b. Identify the vertex and y-intercept of the quadratic function:2
3 30 76y x x= − +
4. Write a 2 × 2 system of linear equations that has no solution.
Loading page 17...
14 Quiz
Name _______________________________________
Math Lit Cycle 3, Quiz for Second Half (Sections 3.9–3.16), Form B
1. A ball is thrown upward at a speed of 50 feet per second and it is 6 feet in the air when it
leaves the person’s hand. Answer the following questions given the following functional
representation for the height (h) of the ball at a certain time (t).2
16 50 6h t t= − + +
a. What is the highest point the ball will reach?
b. When will the ball hit the ground?
2. Factor the following completely.
a.4 256x − b.2
2 22 84x y xy y− −
3. The admission fee for a basketball game is $2.50 per student and $5.00 per adult.
At a certain game 77 tickets are sold and $295 is collected. How many students
and how many adults attended the game?
Name _______________________________________
Math Lit Cycle 3, Quiz for Second Half (Sections 3.9–3.16), Form B
1. A ball is thrown upward at a speed of 50 feet per second and it is 6 feet in the air when it
leaves the person’s hand. Answer the following questions given the following functional
representation for the height (h) of the ball at a certain time (t).2
16 50 6h t t= − + +
a. What is the highest point the ball will reach?
b. When will the ball hit the ground?
2. Factor the following completely.
a.4 256x − b.2
2 22 84x y xy y− −
3. The admission fee for a basketball game is $2.50 per student and $5.00 per adult.
At a certain game 77 tickets are sold and $295 is collected. How many students
and how many adults attended the game?
Loading page 18...
Quiz 15
Name _______________________________________
Math Lit Cycle 4, Quiz for First Half (Sections 4.1–4.6), Form A
1. 1 U.S. dollar is the same 1.050 Canadian dollars. Convert $20 U.S. to Canadian dollars
using each of the following methods. Round each result to two decimal places.
a. Use a proportion.
b. Use dimensional analysis with the fact relating the two currencies above.
c. Use dimensional analysis with this fact: 0.953 U.S. dollars is the same as 1
Canadian dollar.
2. Simplify. Write answers with positive exponents.
a.2
4
6x
x
−
− b.( )
2
4
6x
x
−
−
3. Another salesman has 8 sales every week of the 6-week period. Find the mean, median,
mode, and standard deviation of his sales numbers.
Mean: Median: Mode: Standard deviation:
Name _______________________________________
Math Lit Cycle 4, Quiz for First Half (Sections 4.1–4.6), Form A
1. 1 U.S. dollar is the same 1.050 Canadian dollars. Convert $20 U.S. to Canadian dollars
using each of the following methods. Round each result to two decimal places.
a. Use a proportion.
b. Use dimensional analysis with the fact relating the two currencies above.
c. Use dimensional analysis with this fact: 0.953 U.S. dollars is the same as 1
Canadian dollar.
2. Simplify. Write answers with positive exponents.
a.2
4
6x
x
−
− b.( )
2
4
6x
x
−
−
3. Another salesman has 8 sales every week of the 6-week period. Find the mean, median,
mode, and standard deviation of his sales numbers.
Mean: Median: Mode: Standard deviation:
Loading page 19...
16 Quiz
Name _______________________________________
Math Lit Cycle 4, Quiz for First Half (Sections 4.1–4.6), Form B
Create a scale model that shows the relationship between the Earth and the Moon such that the
distance between the Earth and the Moon in the model will be 1 meter. This choice of scale
allows the model to fit in a classroom.
Facts about the Earth and the Moon:
Diameter of the Earth 12,742 km
Diameter of the Moon 3474.8 km
Average distance between the Earth and Moon 384,400 km
The ratio1 m
384,400 km compares the model measurement to the actual measurement.
1. Using the ratio and facts above, find the diameter of the Earth in the model.
List the answer rounded to the nearest whole millimeter.
2. Using the ratio and facts above, find the diameter of the Moon in the model.
List the answer rounded to the nearest whole millimeter.
3. Choose objects that can be used in the model to represent the Earth and the Moon.
Use the measurements you found in #1 and #2 and the ruler below.
4. The choice of scale of 1 meter creates a very small model, making it difficult to see detail
on the model Earth and Moon. Choose a scale that is larger than 1 meter but not so large
that the model would not fit in a classroom. Use your scale to find the size of the Earth
and Moon for your model.
Name _______________________________________
Math Lit Cycle 4, Quiz for First Half (Sections 4.1–4.6), Form B
Create a scale model that shows the relationship between the Earth and the Moon such that the
distance between the Earth and the Moon in the model will be 1 meter. This choice of scale
allows the model to fit in a classroom.
Facts about the Earth and the Moon:
Diameter of the Earth 12,742 km
Diameter of the Moon 3474.8 km
Average distance between the Earth and Moon 384,400 km
The ratio1 m
384,400 km compares the model measurement to the actual measurement.
1. Using the ratio and facts above, find the diameter of the Earth in the model.
List the answer rounded to the nearest whole millimeter.
2. Using the ratio and facts above, find the diameter of the Moon in the model.
List the answer rounded to the nearest whole millimeter.
3. Choose objects that can be used in the model to represent the Earth and the Moon.
Use the measurements you found in #1 and #2 and the ruler below.
4. The choice of scale of 1 meter creates a very small model, making it difficult to see detail
on the model Earth and Moon. Choose a scale that is larger than 1 meter but not so large
that the model would not fit in a classroom. Use your scale to find the size of the Earth
and Moon for your model.
Loading page 20...
Quiz 17
Name _______________________________________
Math Lit Cycle 4, Quiz for Second Half (Sections 4.7–4.12), Form A
1. Solve the following:
a. Given y varies directly with x. If2y = and1
2
x = ,
find the value of y when1x = .
b. Given y varies indirectly with x. If3y = and7x = ,
find the value of y when2x = .
c. Given y varies directly with x and z. If1y = ,6x = , and1
3
z = ,
find the value of y when1x = and2z = .
2. State the definition for each of the following.
a. Function
b. Domain
c. Range
Name _______________________________________
Math Lit Cycle 4, Quiz for Second Half (Sections 4.7–4.12), Form A
1. Solve the following:
a. Given y varies directly with x. If2y = and1
2
x = ,
find the value of y when1x = .
b. Given y varies indirectly with x. If3y = and7x = ,
find the value of y when2x = .
c. Given y varies directly with x and z. If1y = ,6x = , and1
3
z = ,
find the value of y when1x = and2z = .
2. State the definition for each of the following.
a. Function
b. Domain
c. Range
Loading page 21...
18 Quiz
Name _______________________________________
Math Lit Cycle 4, Quiz for Second Half (Sections 4.7–4.12), Form B
1. State the vertex for each of the following and whether it is a maximum or a minimum.
a.2
( 1) 3y x= + −
b.2 11y x= − +
c.2
4( 3) 6y x= − − +
2. You are standing 30 feet away from a building. If the angle of elevation from your feet
to the top of the building is 65°, how tall is the building?
Name _______________________________________
Math Lit Cycle 4, Quiz for Second Half (Sections 4.7–4.12), Form B
1. State the vertex for each of the following and whether it is a maximum or a minimum.
a.2
( 1) 3y x= + −
b.2 11y x= − +
c.2
4( 3) 6y x= − − +
2. You are standing 30 feet away from a building. If the angle of elevation from your feet
to the top of the building is 65°, how tall is the building?
Loading page 22...
Quiz 19
3. State the domain and range of the function( ) 2 3f x x= − + .
3. State the domain and range of the function( ) 2 3f x x= − + .
Loading page 23...
20 Half Cycle Exam
Name _______________________________________
Math Lit Cycle 1, Half Cycle Exam, First Half (Sections 1.1–1.8)
1. At a car dealership that has 400 cars on the lot, 120 are blue or silver. Of these 120 cars,
28 are both blue and silver, and 55 are just blue.
a. Draw a Venn diagram to represent this information. Write numbers in each
section to indicate how many cars are in that particular category.
b. How many cars are silver but not blue?
c. How many cars are neither blue nor silver?
2. 70% of the entering freshman class will need housing their first year,5
6 of those
freshman will choose to live in the dorms. What fraction of freshman will choose to live
in the dorms?
3. Plot each of the following
ordered pairs as points on the
grid. Label each point with its
letter. List the quadrant (by
Roman numeral) or axis to
describe the location of each
point.
Axis or quadrant
A (3, 1) ___________
B (0, 5) ___________
C (–2, –9) ___________
D (1, 0) ___________
E (–4, 2) ___________
Name _______________________________________
Math Lit Cycle 1, Half Cycle Exam, First Half (Sections 1.1–1.8)
1. At a car dealership that has 400 cars on the lot, 120 are blue or silver. Of these 120 cars,
28 are both blue and silver, and 55 are just blue.
a. Draw a Venn diagram to represent this information. Write numbers in each
section to indicate how many cars are in that particular category.
b. How many cars are silver but not blue?
c. How many cars are neither blue nor silver?
2. 70% of the entering freshman class will need housing their first year,5
6 of those
freshman will choose to live in the dorms. What fraction of freshman will choose to live
in the dorms?
3. Plot each of the following
ordered pairs as points on the
grid. Label each point with its
letter. List the quadrant (by
Roman numeral) or axis to
describe the location of each
point.
Axis or quadrant
A (3, 1) ___________
B (0, 5) ___________
C (–2, –9) ___________
D (1, 0) ___________
E (–4, 2) ___________
Loading page 24...
Half Cycle Exam 21
4. During a recent survey, 758 out of 1,320 people were concerned about saving money.
What is the likelihood that someone chosen at random will not be concerned about saving
money?
5. Perform each of the fraction operations and write your answers in simplest form. Show
all the work. Use your calculator only to check.
a.5 7
9 15
+ = b.1 4
19 3
- ¸ =
c.4 5
3 6
- = d.4 3
3
9 4
× =
6. Simplify each of the following.
a.8 2- - = b.16- =
7. Suppose a student received a 6, 8, 8 on their first three quizzes each worth 10 points.
What would they have to receive on the fourth quiz to have a B (8 out of 10) average
on quizzes?
8. Find the mean of these numbers: –15, –9, –5, –1, 3, 7
4. During a recent survey, 758 out of 1,320 people were concerned about saving money.
What is the likelihood that someone chosen at random will not be concerned about saving
money?
5. Perform each of the fraction operations and write your answers in simplest form. Show
all the work. Use your calculator only to check.
a.5 7
9 15
+ = b.1 4
19 3
- ¸ =
c.4 5
3 6
- = d.4 3
3
9 4
× =
6. Simplify each of the following.
a.8 2- - = b.16- =
7. Suppose a student received a 6, 8, 8 on their first three quizzes each worth 10 points.
What would they have to receive on the fourth quiz to have a B (8 out of 10) average
on quizzes?
8. Find the mean of these numbers: –15, –9, –5, –1, 3, 7
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22 Half Cycle Exam
9. Find the midpoint of the line segment that connects5 , 2
9
æ ö
-ç ÷è ø and2 , 1 .
3
æ ö
ç ÷è ø
10. A dog is born weighing 12 ounces at birth and after one year weighs 13 pounds.
What is the dog’s growth rate per day?
11. For each situation, write a computation and find the result. Interpret your answer.
a. Joe is $400 in credit card debt and decides to buy a TV for $250 using the same
card. How much credit card debt does he have in total?
b. If it is 35 degrees Fahrenheit when you go to bed at night and 7 degrees
Fahrenheit below zero when you wake up the following morning, what is the
change in temperature?
9. Find the midpoint of the line segment that connects5 , 2
9
æ ö
-ç ÷è ø and2 , 1 .
3
æ ö
ç ÷è ø
10. A dog is born weighing 12 ounces at birth and after one year weighs 13 pounds.
What is the dog’s growth rate per day?
11. For each situation, write a computation and find the result. Interpret your answer.
a. Joe is $400 in credit card debt and decides to buy a TV for $250 using the same
card. How much credit card debt does he have in total?
b. If it is 35 degrees Fahrenheit when you go to bed at night and 7 degrees
Fahrenheit below zero when you wake up the following morning, what is the
change in temperature?
Loading page 26...
Half Cycle Exam 23
Name _______________________________________
Math Lit Cycle 1, Half Cycle Exam, Second Half (Sections 1.9–1.16)
1. Ms. Andrew’s English class has the following grade distribution. Complete the table and
create a pie chart for to show how grades are distributed in Ms. Andrew’s class. Round to
the nearest whole percent.
Category Points Percentage Central Angle
Homework 85
Quizzes 65
Tests 120
Final Exam 100
Name _______________________________________
Math Lit Cycle 1, Half Cycle Exam, Second Half (Sections 1.9–1.16)
1. Ms. Andrew’s English class has the following grade distribution. Complete the table and
create a pie chart for to show how grades are distributed in Ms. Andrew’s class. Round to
the nearest whole percent.
Category Points Percentage Central Angle
Homework 85
Quizzes 65
Tests 120
Final Exam 100
Loading page 27...
24 Half Cycle Exam
2. Consider the following data on the years of experience and salaries for employees of a
small business. Create a scatter plot and use a smooth curve to model the data.
Experience
(years) 0 1 3 3 5 7 9 9 14
Salary
(dollars) 36,000 36,500 47,000 51,000 52,000 60,000 62,000 67,000 78,000
3. If you’re driving 65 mph and you look out the side window for 5 seconds, how many feet
have you driven in that time? Round to the nearest foot.
4. You have a starting salary of $52,000. You receive a 3.5% raise every year.
a. How much will your salary be after 4 years?
b. What is the percent change in your salary?
2. Consider the following data on the years of experience and salaries for employees of a
small business. Create a scatter plot and use a smooth curve to model the data.
Experience
(years) 0 1 3 3 5 7 9 9 14
Salary
(dollars) 36,000 36,500 47,000 51,000 52,000 60,000 62,000 67,000 78,000
3. If you’re driving 65 mph and you look out the side window for 5 seconds, how many feet
have you driven in that time? Round to the nearest foot.
4. You have a starting salary of $52,000. You receive a 3.5% raise every year.
a. How much will your salary be after 4 years?
b. What is the percent change in your salary?
Loading page 28...
Half Cycle Exam 25
5. a. Write an expression that has at least four terms. One of the terms should have
more than two factors.
b. Write an equation that has at least 2 terms on each side. At least two terms should
have a negative coefficient.
6. Determine the pattern in the following sequence and write an expression for the nth term.2 4 8 16
, , , ,...
4 7 10 13
7. A rectangular yard has dimensions of 11 ft by 19 ft. The homeowner wants to increase
each dimension by 15%.
a. Find the original area and perimeter of the yard.
b. Find the area and perimeter of the yard after a 15% increase in each dimension.
c. By what percent will the area increase?
d. By what percent will the perimeter increase?
5. a. Write an expression that has at least four terms. One of the terms should have
more than two factors.
b. Write an equation that has at least 2 terms on each side. At least two terms should
have a negative coefficient.
6. Determine the pattern in the following sequence and write an expression for the nth term.2 4 8 16
, , , ,...
4 7 10 13
7. A rectangular yard has dimensions of 11 ft by 19 ft. The homeowner wants to increase
each dimension by 15%.
a. Find the original area and perimeter of the yard.
b. Find the area and perimeter of the yard after a 15% increase in each dimension.
c. By what percent will the area increase?
d. By what percent will the perimeter increase?
Loading page 29...
26 Half Cycle Exam
8. Fill in the blanks.
a. ____________________ reasoning is used to form conjectures.
b. ____________________ reasoning is used to prove conjectures.
9. Create an example of each of the following.
a. A monomial with degree 1.
b. A trinomial with degree 5.
c. Binomial with at least one fractional coefficient and degree 6.
10. Is the following sequences as arithmetic, geometric or neither? If the sequence is
arithmetic or geometric, write an expression for the nth term.
a. –3, –4, –6, –9, –13, …
b. 5, 10, 20, 40, 80, …
11. Determine if the change shown in the table is linear, exponential, or neither. If it is linear
or exponential, explain why and write a function that models the data.
x y
0 22
1 16
2 10
3 4
4 –2
5 –8
8. Fill in the blanks.
a. ____________________ reasoning is used to form conjectures.
b. ____________________ reasoning is used to prove conjectures.
9. Create an example of each of the following.
a. A monomial with degree 1.
b. A trinomial with degree 5.
c. Binomial with at least one fractional coefficient and degree 6.
10. Is the following sequences as arithmetic, geometric or neither? If the sequence is
arithmetic or geometric, write an expression for the nth term.
a. –3, –4, –6, –9, –13, …
b. 5, 10, 20, 40, 80, …
11. Determine if the change shown in the table is linear, exponential, or neither. If it is linear
or exponential, explain why and write a function that models the data.
x y
0 22
1 16
2 10
3 4
4 –2
5 –8
Loading page 30...
Half Cycle Exam 27
Name _______________________________________
Math Lit Cycle 2, Half Cycle Exam, First Half (Sections 2.1–2.9)
1. Your grade in a class is entirely based on exams and quizzes. Given the following scores,
if each quiz represents 5% of your grade, each exam represents 15% of your grade, and
the final exam represents 30% of your grade, what is your overall grade in the class?
Category Grades
(each out of 100%)
Quizzes 88, 76, 92, 95, 68, 81, 76, 74
Exams 71, 83
Final Exam 85
2. Find the mean, median, and mode for the data set of ages of patients at the doctor’s office
on a given day.
12, 33, 21, 55, 61, 30, 21, 18
Mean:
Median:
Mode:
3. Simplify. Write answers with positive exponents.
a.( )
24
5x- b.38
6
10
35
m n
m n
c.0 7
(3 ) 2x x-
- × d.2
7
(2 )
9
x
x y-
e.( )
6 1/3
125x
Name _______________________________________
Math Lit Cycle 2, Half Cycle Exam, First Half (Sections 2.1–2.9)
1. Your grade in a class is entirely based on exams and quizzes. Given the following scores,
if each quiz represents 5% of your grade, each exam represents 15% of your grade, and
the final exam represents 30% of your grade, what is your overall grade in the class?
Category Grades
(each out of 100%)
Quizzes 88, 76, 92, 95, 68, 81, 76, 74
Exams 71, 83
Final Exam 85
2. Find the mean, median, and mode for the data set of ages of patients at the doctor’s office
on a given day.
12, 33, 21, 55, 61, 30, 21, 18
Mean:
Median:
Mode:
3. Simplify. Write answers with positive exponents.
a.( )
24
5x- b.38
6
10
35
m n
m n
c.0 7
(3 ) 2x x-
- × d.2
7
(2 )
9
x
x y-
e.( )
6 1/3
125x
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Subject
Mathematics