Name ____________________________________________________________________________________ Date _______________________
810 MODULE 4 – STUDY GUIDE
You may use a calculator.
1) Which equation shows a proportional
relationship?
2) Put a star next to any equation which shows
a proportional relationship. (hint*… 3 stars)
1
4
1
e) 𝑦 = 5 𝑥 + 5
a) 𝑦 = 𝑥
b) 𝑦 = 5𝑥 − 3
f) 𝑦 = 1𝑥 + 1
3
c) 𝑦 = 4 𝑥
2
2
1
g) 𝑦 = 5 𝑥
d) 𝑦 = 3 𝑥 − 3
h) −2𝑥 = 𝑦
i) 3𝑦 = 6
j) 𝑦 = 75𝑥
3) Tell if the relationship is proportional or not.
Explain how you know.
a)
Tell if the relationship is proportional or not.
Explain how you know.
b)
x
1
2
3
4
y
2.5
5
7.5
10
Name:
Grade 8
Module 4
Use the graph for #4-6.
4) Which graph shows a non-linear relationship?
Explain how you know.
M
Graph _____ is non-linear because…
N
P
5) Which line represents a proportional
relationship? How do you know?
O
6) What is the equation for line M?
7) What is the equation for line N?
8) What is the equation for line O?
Page 2
Name:
Grade 8
Module 4
9) Complete the table using the equation, then
graph.
𝑦=
x
-10
10)
Choose the table that matches the graph
of 𝑦 = 3𝑥 + 2.
3
𝑥−4
5
0
10
y
a)
x
1
2
3
4
y
5
10
15
20
x
1
2
3
4
y
5
8
11
14
x
-1
-2
-3
-4
y
5
8
11
14
x
-4
-3
-2
-1
y
-10
-13
-16
-19
b)
c)
d)
Page 3
Name:
Grade 8
Module 4
11) Use the graph to find the slope, yintercept, and equation of the line.
12) Use the graph to find the slope, y-intercept,
and equation of the line.
Slope ___________
Slope ___________
y-intercept ____________
y-intercept ____________
Equation _____________________
Equation _____________________
Page 4
Name:
Grade 8
Module 4
R
13) Match the equation to the line on the graph.
S
Q
1
_____𝑦 = 2 𝑥 − 2
T
_____ 𝑦 = 3𝑥
_____ 𝑦 = −4𝑥 + 6
2
_____ 𝑦 = − 3 𝑥
14) Use the table to find the slope, y-intercept,
and equation of the line. Show your work.
15) Use the table to find the slope, y-intercept,
and equation of the line. Show your work.
x
0
2
4
6
x
1
2
3
4
y
3
6
9
12
y
12
18
24
30
Slope ___________
Slope ___________
y-intercept ____________
y-intercept ____________
Equation _____________________
Equation _____________________
Page 5
Name:
Grade 8
Module 4
16) This table shows a proportional relationship.
x
-6
-3
0
3
6
y
-18
-9
0
9
18
Which ordered pair could also belong to this relationship?
a) (-9, 27)
b) (-1, 6)
c) (1, 6)
d) (9, 27)
17) Hoffman Lanes bowling alley charges $4 for each game and $5 to rent shoes.
a) Complete the chart.
Games
x
1
2
3
4
Cost ($)
y
b) Slope ___________
y-intercept ____________
Equation _____________________
Page 6
Name:
Grade 8
Module 4
18)
Javon started with $300 and
spent $50 per Six Flags visit.
a) Write the equation to represent the amount
of money, y, Javon has left after x Six Flags
visits of spending.
money
300
b) Graph the situation.
200
100
c) What does the rate of change mean in this
situation?
0
5
10
Six Flags visits
19)
Jurassic World creates talking dinosaurs
with phrases you can customize. They charge $16
for the dino itself plus $4 per phrase that you set
the dino to speak.
b) Complete the table.
Phrases
0
1
2
5
8
10
x
Cost ($)
y
b) Slope ___________
y-intercept ____________
Equation _____________________
Page 7
Name:
Grade 8
Module 4
20)
Five years after a Mulberry bush was planted, its height was 6 feet. Ten years after it was
planted, the Mulberry bush’s height was 10 feet.
a) Make a table.
x
(years)
y
b) Graph the situation.
feet
(feet)
c) What is the growth rate (rate of change) of
this Mulberry bush? Show your work or
explain how you know.
d) How tall was the bush when it was planted?
years
Page 8