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PRACTICE Quiz on Linear Equations

Total questions: 20

Worksheet time: 26mins

Name
Class
Date
1.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
2.

What does "b" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

3.

What is the slope of the line with the equation
 y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

 32-\frac{3}{2}  

b)

 32\frac{3}{2}  

c)

 44  

d)

 4-4  

4.

What is the y-intercept of the line with the equation
 y = 2x + 4y\ =\ -2x\ +\ 4  

a)

 2-2  

b)

 22  

c)

 44  

d)

 4-4  

5.
Write the equation of the line.
a)

y = -1/3x - 2

b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
6.

Graph the line with the equation
y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)

b)

c)

d)

7.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

8.

Convert this equation into slope-intercept form: 3x + y = 12

a)
y = -3x +12
b)
x = y + 4
c)
x = y + 12
d)
y = 3x -12
9.

Convert this equation into slope-intercept form. x + y = 4

a)
y = x + 4
b)
y = -x + 4
c)
x = -y + 4
d)
x= y - 4
10.

Solve this equation for y:
10x 5y=3010x\ -5y=30  

a)

y = 2x - 6

b)

y = -2x + 6

c)

y = -10x + 30

d)

y = 10x - 30

11.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
12.

What is the y-intercept of the graph of 3x + 4y = 24

a)

-6

b)

6

c)

15

d)

-15

13.

What is the x- intercept of the graph of 3x + 4y = 24

a)

12

b)

8

c)

-12

d)

-8

14.

5. Which of the following pair of points have a slope of -2?

a)

(2, 4) and (5, - 2)

b)

(4, 2) and (- 2, 5)

c)

(2, 5) and (4, - 2)

d)

(- 2, 2) and (4, 5)

15.

7. What is the equation of a line that passes through the points (0, 5) and (2, 2)?

a)

𝑦 = - 3⁄2 𝑥 + 5

b)

𝑦 = - 2⁄3 𝑥 + 5

c)

𝑦 = 2⁄3 𝑥 + 5

d)

𝑦 = 3⁄2 𝑥 + 5

16.

8. The line passes through the point (0, 3) and has a slope of 2. What is the equation of a line in slope-intercept form?

a)

𝑦 = 2⁄3 𝑥

b)

𝑦 = 2⁄3 𝑥 + 3

c)

𝑦 = 2𝑥 + 3

d)

𝑦 = 3𝑥 + 2

17.

10. Jojo was able to collect 5 kg of aluminum cans of soft drinks and sold them to the junk shop and received $175. On the next day, he sold again another 3 kg of recycled cans and earned $105. He wanted to know how much would he earn from the recycled materials if he collected 22 kg.
What equation would he have used to determine his earnings?

a)

y = 5x

b)

y = 5x + 35

c)

y = 35x

d)

y = 35x + 5

18.

A music app charges $2 to download the app plus $1.29 per song downloaded. Write a linear equation to find the total cost to download any number of songs.

a)

y = 1.29x + 2

b)

y = 1.29 + 2x

c)

30 = 1.29x + 2

d)

y = 1.29 x - 2

19.
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
20.

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Jill spent $26, write and solve a linear equation to find how many songs she downloaded.

a)
32 songs
b)
33 songs
c)
19 songs
d)
36 songs