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Unit 2 Practice Test
By Rebekah A Sjoberg
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Last updated over 2 years ago
17 questions
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Note from the author:
Practice test to go along with Illustrative Mathematics 7th Grade Unit 2
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Answer all questions to the best of your ability.
See if you can get them to turn green!
This will serve as a useful study guide for the unit 2 test on proportional relationships.
A calculator is allowed: https://www.desmos.com/scientific
Watch a video on the two Constants of Proportionality in a relationship and writing equations.
Add to your notes!
Question 1
1.
A frosting recipe calls for 6 tablespoons of butter for every 2 cups of powdered sugar.
What are the
two constants of proportionality
in this situation? 2A
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Write your answers as whole numbers or fractions, separated by a comma. No spaces.
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Question 2
2.
You fill up your car with 11 gallons of gas for $22.55.
Which of the following are true statements? Choose all that apply.
2A🌶️🌶️
It costs $2.05 per gallon of gas.
You can buy 2.05 gallons of gas for $1.
8 gallons of gas will cost $16.40
If you have $8, you can buy 4 gallons of gas.
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Question 3
3.
You fill up your car with 11 gallons of gas for $22.55.
How much would 5 gallons cost?
2A🌶️🌶️🌶️
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Question 4
4.
You fill up your car with 11 gallons of gas for $22.55.
Write an m = equation that represents the relationship between
g
, gallons purchased, and
m,
money spent.
2C🌶️🌶️
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Question 5
5.
Which graphs represent proportional relationships? Choose ALL that apply.
2D🌶️
A
B
C
D
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Question 6
6.
The following graph shows the relationship between the number of cups of flour in a cookie recipe and the dozens of cookies that are baked.
Which of the following statements are true? Select ALL that apply.
2D🌶️🌶️
For every 3 cups of flour, you can bake 4 dozen cookies.
The constant of proportionality is 4/3
For every 8 cups of flour, you can bake 6 dozen cookies.
You can bake 4/3 dozen cookies per cup of flour.
For every 4/3 cups of flour used, you can bake 1 dozen cookies.
For every 6 cups of flour, you can bake 8 dozen cookies.
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Question 7
7.
The following graph shows the relationship between the number of cups of flour in a cookie recipe and the dozens of cookies that are baked.
What is the constant of proportionality
in the relationship between the number of dozens of cookies,
c,
and the cups of flour,
f.
2D🌶️🌶️
Round decimals to nearest hundreths.
Question 8
8.
The following graph shows the relationship between the number of cups of flour in a cookie recipe and the dozens of cookies that are baked.
Write an equation
to express the relationship between the number of dozens of cookies,
c,
and the cups of flour,
f.
?
2E🌶️🌶️🌶️ equation
Question 9
9.
Which of the following equations represent proportional relationships? Choose ALL that apply.
2C🌶️
Question 10
10.
The table shows the price of candy bars at a grocery store. Assume this table represents a proportional relationship.
What is the price for 1 candy bar?
Justify your thinking in the show work box.
2B🌶️🌶️
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Question 11
11.
The table shows the price of candy bars at a grocery store. Assume this table represents a proportional relationship.
Write an equation
to show the relationship between the number of candy bars purchased,
n
, and the total cost in dollars,
t.
2C🌶️🌶️
Round numbers to the nearest hundredths.
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Question 12
12.
The table shows the price of candy bars at a grocery store. Assume this table represents a proportional relationship.
How many candy bars can you buy for $7.12?
2B🌶️🌶️🌶️ or 2C🌶️🌶️🌶️
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Question 13
13.
How many dollars does one square foot of carpet cost?
2D🌶️🌶️
Question 14
14.
How many square feet of carpet can you buy for $1?
Answer as a simplified fraction or a decimal to the nearest hundredth.
2C🌶️🌶️
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Question 15
15.
The relationships between the total cost in dollars and square feet of carpet for blue carpet and pink carpet are shown in the graph below.
Which carpet gives you more square feet per dollar?
2D🌶️🌶️🌶️
Blue carpet (shown by the blue line)
Pink carpet (shown by the pink line)
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Question 16
16.
Write an equation to express the relationship between total cost in dollars (d) and square feet (f) of carpet.
2E🌶️🌶️🌶️
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Question 17
17.
Here's an equation y = 3x
Using this equation, create a table with at least 3 sets of data.
Write a story that this equation/table could represent.
Create a graph to match this equation/table/story.
2E
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You can target some rough spots with IXL
7th Grade
K.Proportional relationships
Find the constant of proportionality from a table 2B
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Write equations for proportional relationships from tables 2C
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Identify proportional relationships by graphing 2D
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Find the constant of proportionality from a graph 2D
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\Write equations for proportional relationships from graphs 2E
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Identify proportional relationships from graphs and equations 2C/D
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Identify proportional relationships from tables 2B
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Complete a table and graph a proportional relationship 2E
🌶️🌶️/🌶️🌶️🌶️
Graph a proportional relationship: word problems 2D
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Interpret graphs of proportional relationships 2D
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Write and solve equations for proportional relationships 2C
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J.10 Do the ratios form a proportion: word problems 2A
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J.12 Solve proportions: word problems 2A
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