TEST BANK & ANSWER KEY
, Unit 1: Linear Equations Quizzes
This document contains Unit and Section quizzes from RAISE’s Algebra I curriculum.
Table of Contents
Unit 1 Section A Quiz 2
Unit 1 Section B Quiz 5
Unit 1 Section C Quiz 7
Unit 1 Cumulative Quiz 9
Unit 1 Quizzes Answer Key 12
About RAISE Quizzes
The goal of each Section Quiz is to provide teachers with vital, just in time information
about student mastery of a specific link in the learning progression for the whole unit.
Teachers can use this information to facilitate small group instruction or provide additional
scaffolds as students progress to the next section.
Each Section Quiz contains four or five multiple-choice questions.
The goal of the Unit Quiz is to provide teachers and students with a culminating
assessment of student understanding for the full learning progression of the unit.
The Unit Quiz contains seven multiple-choice questions.
The Answer Key for the Unit Quiz and the Section Quizzes can be found at the end of this
document.
Click on the links below to watch our videos about Unit 1 and its sections.
● RAISE Unit 1 Overview
● RAISE Unit 1, Section A, Lessons 1-5: Writing and Modeling Equations
● RAISE Unit 1, Section B – Lessons 6 - 11: Manipulating Equations and Understa…
● RAISE Unit 1, Section C – Lessons 12 - 14: Writing Linear Equations
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Unit 1 Section A Quiz
1. A softball team is ordering pizza to eat after their tournament. They plan to order
cheese pizzas that cost $6 each and four-topping pizzas that cost $10 each. They
order 𝑐 cheese pizzas and 𝑓 four-topping pizzas.
Which expression represents the total cost of all of the pizzas they order?
a. 6 + 10
b. 𝑐 + 𝑓
c. 6𝑐 + 10𝑓
d. 6𝑓 + 10𝑐
2. A landscaping company is delivering crushed stone to a construction site. The table
shows the total weight in pounds, 𝑊, of 𝑛 loads of crushed stone.
Number of Loads of Crushed Stone Total Weight in Pounds
0 0
1 2,000
2 4,000
3 6,000
Which equation could represent the total weight, in pounds, for 𝑛 loads of crushed
stone?
6,000
a. 𝑊 = 𝑛
b. 𝑊 = 6, 000 − 2, 000𝑛
c. 𝑊 = 2, 000𝑛
d. 𝑊 = 𝑛 + 2, 000
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, 3. Members of the band sold juice and popcorn at a college football game to raise
money for an upcoming trip. The band raised $2,000. The amount raised is divided
equally among the 𝑚 members of the band.
Which equation represents the amount, 𝐴, each member receives?
𝑚
a. 𝐴 = 2,000
2,000
b. 𝐴 = 𝑚
c. 𝐴 = 2, 000𝑚
d. 𝐴 = 2, 000 − 𝑚
4. A little league baseball team is ordering hats. The graph below shows the
relationship between the total cost, in dollars, and the number of hats ordered.
What does the slope of the graph tell us in this situation?
a. It tells us that there is a fixed cost of approximately $35 for ordering hats.
b. It tells us the amount that the total cost increases for each additional hat
ordered.
c. It tells us that when 9 hats are ordered, the total cost is approximately $160.
d. It tells us that when the number of hats ordered increases by 10, the total
cost increases by approximately $175.
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, 5. A school sells adult tickets and student tickets for a play. It collects $1,400 in total.
The graph shows the possible combinations of the number of adult tickets sold and
the number of student tickets sold.
What does the vertical intercept (0,200) tell us in this situation?
a. It tells us the decrease in the sale of adult tickets for each student ticket
sold.
b. It tells us the decrease in the sale of student tickets for each adult ticket
sold.
c. It tells us that if no adult tickets were sold, then 200 student tickets were
sold.
d. It tells us that if no student tickets were sold, then 200 adult tickets were
sold.
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Algebra I, brought to you by Openstax
, Name: ___________________________
Unit 1 Section B Quiz
1. Which equation is equivalent to the equation 6𝑥 + 9 = 12?
a. 𝑥 + 9 = 6
b. 2𝑥 + 3 = 4
c. 3𝑥 + 9 = 6
d. 6𝑥 + 12 = 9
2. Consider the equation 3𝑎 + 0.1𝑛 = 123. If we solve this equation for 𝑛, which
equation would result?
a. 0. 1𝑛 = 123 − 3𝑎
b. 𝑛 = 123 − 3𝑎 − 0. 1
c. 𝑛 = 1, 230 − 30 𝑎
3𝑎 − 123
d. 0.1
= 𝑛
3. Mai says that equations A and B have the same solution.
Equation A: − 3(𝑥 + 7) = 24
Equation B: 𝑥 + 7 = − 8
Which statement explains why this is true?
a. Adding 3 to both sides of Equation A gives 𝑥 + 7 = −8.
b. Applying the Distributive Property to Equation A gives 𝑥 + 7 = −8.
c. Subtracting 3 from both sides of Equation A gives 𝑥 + 7 = −8.
d. Dividing both sides of Equation A by −3 gives 𝑥 + 7 = −8.
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, 4. Han is solving an equation. He took steps that are acceptable but ended up with
equations that are clearly not true.
5𝑥 + 6 = 7𝑥 + 5 − 2𝑥 Original equation
5𝑥 + 6 = 7𝑥 − 2𝑥 + 5 Apply the Commutative Property
5𝑥 + 6 = 5𝑥 + 5 Combine like terms
6 = 5 Subtract 5𝑥 from each side
What can Han conclude as a result of these acceptable steps?
a. There’s no value of 𝑥 that can make the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥 true.
b. Any value of 𝑥 can make the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥 true.
c. 𝑥 = 6 is a solution to the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥.
d. 𝑥 = 5 is a solution to the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥.
5. What is the 𝑥-intercept of the graph of 𝑦 = 3 − 5𝑥?
3
a. ( 5 , 0)
b. (− 5, 0)
c. (0, 3)
5
d. (0, 3
)
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Unit 1 Section C Quiz
1. The price, 𝑝, for gas varies directly with the number of gallons, 𝑔, purchased. If 20
gallons of gas cost $70, how much would 12 gallons of gas cost?
a. $3.50
b. $35
c. $4.20
d. $42
2. What is the equation of a horizontal line containing the point (7, -9)?
a. 𝑦 = −9
b. 𝑥 = −9
c. 𝑦 = 7
d. 𝑥 = 7
2
3. What is the equation of a line with slope of − 3
containing the point (6, 4)?
2
a. 𝑦 = − 3
𝑥 + 6
2
b. 𝑦 = − 3
𝑥 + 4
2
c. 𝑦 = − 3
𝑥 + 10
2
d. 𝑦 = − 3
𝑥 + 8
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, 4. Write the equation of a line containing (3, 5) and (-4, -2).
a. 𝑦 = −𝑥 + 8
b. 𝑦 = −𝑥 − 2
c. 𝑦 = 𝑥 − 2
d. 𝑦 = 𝑥 + 2
−1
5. Write an equation of a line parallel to the line 𝑦 = 2
𝑥 + 3 that contains the
point (1, 4).
1 1
a. 𝑦 = − 2
𝑥 + 3 2
b. 𝑦 = 2𝑥 + 6
c. 𝑦 = − 2𝑥 + 6
1 1
d. 𝑦 = − 2
𝑥 + 4 2
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Algebra I, brought to you by Openstax
, Name: ___________________________
Unit 1 Cumulative Quiz
1. The videography team entered a contest and won a monetary prize of $1,350.
Which expression represents how much each person would get if there were 𝑥
people on the team?
1,350
a. 𝑥
b. 1, 350 + 𝑥
1,350
c. 5
d. 1, 350 − 𝑥
2. Noah is solving an equation, and one of his moves is unacceptable. Here are the
moves he made:
2(𝑥 + 6) − 4 = 8 + 6𝑥 Original equation
2𝑥 + 12 − 4 = 8 + 6𝑥 Apply the distributive property
2𝑥 + 8 = 8 + 6𝑥 Combine like terms
2𝑥 = 6𝑥 Subtract 8 from both sides
2 = 6 Divide each side by x
Which answer best explains why the “divide each side by 𝑥” step is unacceptable?
a. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, you get 2𝑥2 = 6𝑥2.
b. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, it could lead us to think that there
is no solution while in fact the solution is 𝑥 = 0.
c. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, you get 2 = 6𝑥.
d. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, it could lead us to think that there
is no solution while in fact the solution is 𝑥 = 3.
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Algebra I, brought to you by Openstax
, Unit 1: Linear Equations Quizzes
This document contains Unit and Section quizzes from RAISE’s Algebra I curriculum.
Table of Contents
Unit 1 Section A Quiz 2
Unit 1 Section B Quiz 5
Unit 1 Section C Quiz 7
Unit 1 Cumulative Quiz 9
Unit 1 Quizzes Answer Key 12
About RAISE Quizzes
The goal of each Section Quiz is to provide teachers with vital, just in time information
about student mastery of a specific link in the learning progression for the whole unit.
Teachers can use this information to facilitate small group instruction or provide additional
scaffolds as students progress to the next section.
Each Section Quiz contains four or five multiple-choice questions.
The goal of the Unit Quiz is to provide teachers and students with a culminating
assessment of student understanding for the full learning progression of the unit.
The Unit Quiz contains seven multiple-choice questions.
The Answer Key for the Unit Quiz and the Section Quizzes can be found at the end of this
document.
Click on the links below to watch our videos about Unit 1 and its sections.
● RAISE Unit 1 Overview
● RAISE Unit 1, Section A, Lessons 1-5: Writing and Modeling Equations
● RAISE Unit 1, Section B – Lessons 6 - 11: Manipulating Equations and Understa…
● RAISE Unit 1, Section C – Lessons 12 - 14: Writing Linear Equations
Openstax CC BY NC SA
Algebra I, brought to you by Openstax
, Name: ___________________________
Unit 1 Section A Quiz
1. A softball team is ordering pizza to eat after their tournament. They plan to order
cheese pizzas that cost $6 each and four-topping pizzas that cost $10 each. They
order 𝑐 cheese pizzas and 𝑓 four-topping pizzas.
Which expression represents the total cost of all of the pizzas they order?
a. 6 + 10
b. 𝑐 + 𝑓
c. 6𝑐 + 10𝑓
d. 6𝑓 + 10𝑐
2. A landscaping company is delivering crushed stone to a construction site. The table
shows the total weight in pounds, 𝑊, of 𝑛 loads of crushed stone.
Number of Loads of Crushed Stone Total Weight in Pounds
0 0
1 2,000
2 4,000
3 6,000
Which equation could represent the total weight, in pounds, for 𝑛 loads of crushed
stone?
6,000
a. 𝑊 = 𝑛
b. 𝑊 = 6, 000 − 2, 000𝑛
c. 𝑊 = 2, 000𝑛
d. 𝑊 = 𝑛 + 2, 000
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Algebra I, brought to you by Openstax
, 3. Members of the band sold juice and popcorn at a college football game to raise
money for an upcoming trip. The band raised $2,000. The amount raised is divided
equally among the 𝑚 members of the band.
Which equation represents the amount, 𝐴, each member receives?
𝑚
a. 𝐴 = 2,000
2,000
b. 𝐴 = 𝑚
c. 𝐴 = 2, 000𝑚
d. 𝐴 = 2, 000 − 𝑚
4. A little league baseball team is ordering hats. The graph below shows the
relationship between the total cost, in dollars, and the number of hats ordered.
What does the slope of the graph tell us in this situation?
a. It tells us that there is a fixed cost of approximately $35 for ordering hats.
b. It tells us the amount that the total cost increases for each additional hat
ordered.
c. It tells us that when 9 hats are ordered, the total cost is approximately $160.
d. It tells us that when the number of hats ordered increases by 10, the total
cost increases by approximately $175.
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Algebra I, brought to you by Openstax
, 5. A school sells adult tickets and student tickets for a play. It collects $1,400 in total.
The graph shows the possible combinations of the number of adult tickets sold and
the number of student tickets sold.
What does the vertical intercept (0,200) tell us in this situation?
a. It tells us the decrease in the sale of adult tickets for each student ticket
sold.
b. It tells us the decrease in the sale of student tickets for each adult ticket
sold.
c. It tells us that if no adult tickets were sold, then 200 student tickets were
sold.
d. It tells us that if no student tickets were sold, then 200 adult tickets were
sold.
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Algebra I, brought to you by Openstax
, Name: ___________________________
Unit 1 Section B Quiz
1. Which equation is equivalent to the equation 6𝑥 + 9 = 12?
a. 𝑥 + 9 = 6
b. 2𝑥 + 3 = 4
c. 3𝑥 + 9 = 6
d. 6𝑥 + 12 = 9
2. Consider the equation 3𝑎 + 0.1𝑛 = 123. If we solve this equation for 𝑛, which
equation would result?
a. 0. 1𝑛 = 123 − 3𝑎
b. 𝑛 = 123 − 3𝑎 − 0. 1
c. 𝑛 = 1, 230 − 30 𝑎
3𝑎 − 123
d. 0.1
= 𝑛
3. Mai says that equations A and B have the same solution.
Equation A: − 3(𝑥 + 7) = 24
Equation B: 𝑥 + 7 = − 8
Which statement explains why this is true?
a. Adding 3 to both sides of Equation A gives 𝑥 + 7 = −8.
b. Applying the Distributive Property to Equation A gives 𝑥 + 7 = −8.
c. Subtracting 3 from both sides of Equation A gives 𝑥 + 7 = −8.
d. Dividing both sides of Equation A by −3 gives 𝑥 + 7 = −8.
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, 4. Han is solving an equation. He took steps that are acceptable but ended up with
equations that are clearly not true.
5𝑥 + 6 = 7𝑥 + 5 − 2𝑥 Original equation
5𝑥 + 6 = 7𝑥 − 2𝑥 + 5 Apply the Commutative Property
5𝑥 + 6 = 5𝑥 + 5 Combine like terms
6 = 5 Subtract 5𝑥 from each side
What can Han conclude as a result of these acceptable steps?
a. There’s no value of 𝑥 that can make the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥 true.
b. Any value of 𝑥 can make the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥 true.
c. 𝑥 = 6 is a solution to the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥.
d. 𝑥 = 5 is a solution to the equation 5𝑥 + 6 = 7𝑥 + 5 − 2𝑥.
5. What is the 𝑥-intercept of the graph of 𝑦 = 3 − 5𝑥?
3
a. ( 5 , 0)
b. (− 5, 0)
c. (0, 3)
5
d. (0, 3
)
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Algebra I, brought to you by Openstax
, Name: ___________________________
Unit 1 Section C Quiz
1. The price, 𝑝, for gas varies directly with the number of gallons, 𝑔, purchased. If 20
gallons of gas cost $70, how much would 12 gallons of gas cost?
a. $3.50
b. $35
c. $4.20
d. $42
2. What is the equation of a horizontal line containing the point (7, -9)?
a. 𝑦 = −9
b. 𝑥 = −9
c. 𝑦 = 7
d. 𝑥 = 7
2
3. What is the equation of a line with slope of − 3
containing the point (6, 4)?
2
a. 𝑦 = − 3
𝑥 + 6
2
b. 𝑦 = − 3
𝑥 + 4
2
c. 𝑦 = − 3
𝑥 + 10
2
d. 𝑦 = − 3
𝑥 + 8
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, 4. Write the equation of a line containing (3, 5) and (-4, -2).
a. 𝑦 = −𝑥 + 8
b. 𝑦 = −𝑥 − 2
c. 𝑦 = 𝑥 − 2
d. 𝑦 = 𝑥 + 2
−1
5. Write an equation of a line parallel to the line 𝑦 = 2
𝑥 + 3 that contains the
point (1, 4).
1 1
a. 𝑦 = − 2
𝑥 + 3 2
b. 𝑦 = 2𝑥 + 6
c. 𝑦 = − 2𝑥 + 6
1 1
d. 𝑦 = − 2
𝑥 + 4 2
Openstax CC BY NC SA
Algebra I, brought to you by Openstax
, Name: ___________________________
Unit 1 Cumulative Quiz
1. The videography team entered a contest and won a monetary prize of $1,350.
Which expression represents how much each person would get if there were 𝑥
people on the team?
1,350
a. 𝑥
b. 1, 350 + 𝑥
1,350
c. 5
d. 1, 350 − 𝑥
2. Noah is solving an equation, and one of his moves is unacceptable. Here are the
moves he made:
2(𝑥 + 6) − 4 = 8 + 6𝑥 Original equation
2𝑥 + 12 − 4 = 8 + 6𝑥 Apply the distributive property
2𝑥 + 8 = 8 + 6𝑥 Combine like terms
2𝑥 = 6𝑥 Subtract 8 from both sides
2 = 6 Divide each side by x
Which answer best explains why the “divide each side by 𝑥” step is unacceptable?
a. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, you get 2𝑥2 = 6𝑥2.
b. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, it could lead us to think that there
is no solution while in fact the solution is 𝑥 = 0.
c. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, you get 2 = 6𝑥.
d. When you divide both sides of 2𝑥 = 6𝑥 by 𝑥, it could lead us to think that there
is no solution while in fact the solution is 𝑥 = 3.
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Algebra I, brought to you by Openstax
