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Worksheets

Linear Equations

Total questions: 18

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
What letter represents the slope in the equation y = mx + b ?
a)
x
b)
y
c)
m
d)
b
2.
In the following equation, what is the y-intercept?  
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
3.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
4.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
5.

Which graph represents the table?

a)
b)
c)
d)
6.

Which graph represents the equation  y=4x1y=4x-1  

a)
b)
c)
d)
7.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

8.

What is the y-intercept of  8x+4y=488x+4y=-48  

a)

(0, 6)

b)

(0, -6)

c)

(0, 12)

d)

(0, -12)

9.

Which graph represents 2x5y=102x-5y=-10  

a)
b)
c)
d)
10.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
11.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
12.

Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. How long will it take him to reach his goal of 220 pounds?

(a)  

13.

Josie is 7 years old. She has 12 beanie babies and she has been getting about 2 beanie babies every month.

How many beanie babies does she have after 10 months? Let x represent the number of months and y is the total number of beanie babies.

a)

22

b)

32

c)

122

d)

27

14.

Each month, Olin’s cell phone plan costs $34.99, plus $12.95 per GB of data that he uses. His bill this month was $60.89. Which equation can be used to find the amount of data (d) Olin used this month?

a)

34.99d +12.95 = 60.89

b)

34.99 + d = 60.89

c)

34.99 - 12.95d = 60.89

d)

34.99 + 12.95d = 60.89

15.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = 1/3x - 1
b)
y = 1/4x -1
c)
y = -1/3x +1
d)
y = -1/4x + 1 
16.
What is the correct equation?
a)
x = 5
b)
y = 5
c)
x = - 5
d)
y = -5 
17.

Find the slope and y-intercept:

6x + -2y = 18

a)
slope = -6, y-intercept = -2
b)
slope = -3, y-intercept = 9
c)
slope = 3, y -intercept = -9
d)
slope = 6, y-intercept = 3
18.

What is the slope:

5x + 10y  = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3