Student Name:
Date:
Math Grade 8
Expressions and Equations (EE)
Student Quizlet
Proportional Relationships, Lines and Linear Equations
August 2015
DIRECTIONS: Read the problems below. Put your answers in the spaces provided.
1. A cookie recipe uses 40% peanut butter chips in the chips part of the recipe.
Which graph represents the number of cups of peanut butter chips, y, contained in x
cups of chips?
A.
B.
C.
D.
Page 2
2. A relationship is defined by the equation y = 3x. Using the coordinate grid
below, graph the relationship.
3. The price of a bowl of ice cream with toppings is based on its weight in ounces.
The graph below shows the cost of the ice cream, y, based on the weight of the ice
cream, x.
Based on the graph, what is the unit rate of bowl of ice cream?
A.
$0.50 per ounce
B.
$1 per ounce
C.
$2 per ounce
D.
$9 per ounce
Page 3
4. A kiddie pool drains at an even rate. The graph below shows the amount of water
in the pool, y, over time, x. Based on the graph, what is the unit rate that the pool
water drains in gallons per minute?
5. Relationship 1 is defined by the equation y = 6x. The table below show some values
for Relationship 2.
Relationship 2
x
y
0
0
2
11
5
27.5
9
49.5
Both relationships represent a direct proportion between x and y. The rate of
change between x and y in Relationship 1 is how many units greater than the rate
of change between x and y in Relationship 2?
A.
0.5
B.
5
C.
6
D.
17
Page 4
6. The coordinate plane below shows line l, ∆‫ܦܥܣ‬, and ∆‫ܧܥܤ‬.
Which statements are true?
Select all that apply.
஺஽
A.
The slope of line l is equal to
B.
The slope of line l is equal to
C.
The slope of line l is equal to
D.
The slope of line l is equal to
E.
തതതത is equal to the slope of ‫ܣܥ‬
തതതത.
The slope of ‫ܥܧ‬
F.
തതതത is equal to the slope of line l.
The slope of ‫ܥܧ‬
஼஽
஻஼
஼஽
஻ா
஻஼
.
.
.
஼஽
஺஽
.
Page 5
7. The coordinate plane below shows line l, ∆ABC, and ∆DEF.
Part A
List 2 line segments that have the same slope as line l.
Line segment 1:
Line segment 2:
Part B
List 2 fractions with line segment lengths that have the same slope as line l.
Fraction 1:
Fraction 2:
Page 6
8. What is the equation of line s on the coordinate plane below?
ଵ
A.
y = ଶx
B.
y = 2x
C.
y = 4x
D.
y = –2x
Page 7
9.
What is the slope and equation of line r on the coordinate plane below?
Slope:
Equation:
Page 8
10. What is the equation of line p in the coordinate plane below?
ଵ
A.
y=− x
B.
y = 3x – 2
C.
y = 3x + 2
D.
y= x–2
ଷ
ଵ
ଷ
Page 9
11. What is the slope, y-intercept and equation of line t in the coordinate plane below?
Slope:
y-intercept:
Equation:
Page 10
12. Two stores are selling passes to the water park.
•
•
The first store’s pass is sold using the equation y = 15x, where y equals the
total cost in dollars for x people.
The second store sells a pass that costs $50 for 4 people and $87.50 for
7 people.
Part A
Use the information above to find the unit cost of each store’s pass in dollars per
person.
Part B
Find the total cost, in dollars, of buying a pass for 10 people from the least
expensive store.
Part C
If the water park runs a sale reducing the price of tickets for 1 day, choose a unit
cost less than the prices you determined above. Complete the table to show the
new proportional relationship.
Store A
Number of People x
(Total Cost) y
1
$
2
$
4
$
7
$
10
$
Sale Price
Cost Per Person:
Store B
Number of People x
(Total Cost) y
1
$
2
$
4
$50.00
7
$87.50
10
$
Cost Per Person
Page 11
Sale Price