Free Printable linear equations review

1.

At the beginning of the summer, Jenna had saved $141. To earn money of the summer, she is working part time at the local community center. She will earn $32 per day of work. If x represents the number of days she works, which of the following equations represents how much money she will have, including her savings?

a)

y = 141-32x

b)

y = x + 141

c)

y = 32x + 141

d)

y = 141x + 32

2.

Kiki wants to rent a bounce house for her daughter's party. The cost, y, to rent the bounce house for the number of hours, x, is shown in the table. The initial set up fee for the bounce house is which of the following?

a)

$65

b)

$55

c)

$130

d)

$185

3.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

4.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

5.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

6.

Write an equation of the table

a)

y = 2x - 4

b)

y = 4x + 7

c)

y = 7x + 4

d)

y = 4x - 7

7.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

8.

Which graph represents $2x-5y=-10$

*hint: find the x & y intercepts by plugging in zero

a)

b)

c)

d)

9.

What is the x-intercept of $5x-10y=30$

a)

x = -10

b)

x = -6

c)

x = 6

d)

x = 3

10.

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

a)

y = 6

b)

y = -6

c)

y = 12

d)

y = - 12

11.

What is the y-intercept of the following equation:

$y=x$

a)

1

b)

0

c)

-1

d)

x

12.

What is the slope of the following equation: $y=\frac{1}{8}x-3$

a)

$-3$

b)

$3$

c)

$\frac{1}{8}$

d)

$8$

13.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

14.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

15.

Solve for y
8x + 2y = -10

a)

y = -8x + 5

b)

y = -4x - 5

c)

y = -¹/₄ x - 10

d)

y = -¹/₄ x - 5

16.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

17.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

18.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

19.

What is the y-intercept of this equation?
y = 5x + 8

a)

(0, 5)

b)

(5, 0)

c)

(0, 8)

d)

(8, 0)

20.

Write the equation of the line.

a)

y=(1/3)x-1

b)

y=(3/2)x -1

c)

y=3x-1

d)

y=(2/3)x-1

21.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

22.

In this equation, what is the slope?

a)

-1

b)

1

c)

5

d)

-5

23.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

24.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

25.

Which graph best represents the equation y = -3x + 4?

a)

b)

c)

d)

26.

The equation y = 3x has a y intercept of 3.

a)

true

b)

false

27.

Solve this standard form equation so that it is in slope intercept form 6x+12y = 48

a)

48= 6x+12y

b)

$y\ =\frac{1}{2}x\ -4$

c)

$y\ =\ -2x+4$

d)

$y\ =\ -\frac{1}{2}x+4$

28.

Which of the following graphs has a POSITIVE SLOPE?

a)

b)

c)

d)

29.

Which of the following graphs has a NEGATIVE SLOPE?

a)

b)

c)

d)

30.

Identify the slope of the function described in the graph.

a)

$m=-\frac{1}{3}$

b)

$m=\frac{1}{3}$

c)

m=-3

d)

m=3

31.

Elena bought an app for $3.00 and spends $1.50 every time she wants to buy an extra bundle of points within the app. Write an equation for the sentence above.

a)

$y=-1.5x+3$

b)

$y=3x-1.5$

c)

$y=.15x+3$

d)

$y=1.5x+3$

32.

Which function best represents this linear relationship?

a)

$y=3.5x-2$

b)

$y=-2x+3.5$

c)

$y=3.5x+2$

d)

$y=2x+3.5$

33.

A plant is 3.5 inches tall. It grows $\frac{1}{2}$ an inch every week. Which equation best matches the sentence above.

a)

$y=0.5x-3.5$

b)

$y=0.5x+3.5$

c)

$y=-0.5x+3.5$

d)

$y=3.5x+0.5$

34.

What does the "b" stand for in y=mx+b?

a)

slope

b)

x-intercept

c)

y-intercept

35.

A holiday meal costs $12.50 a person plus a delivery fee of $30.

a)

y = 30 + 12.5x

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

d)

y = 30 - 12.5x

36.

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. Write a linear equation that could be used to find how many songs he downloaded.

a)

y = 0.95x + 7.95

b)

y = 7.95x + 0.95

c)

y = 0.95x - 7.95

d)

y = - 0.95x + 7.95

37.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

38.

What is the function of the table?

a)

y=3x+1

b)

y=4x-2

c)

y=x+1

d)

y=x+7

39.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

40.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

41.

Given the table of values, which point is a y-intercept?

a)

-6

b)

38

c)

44

d)

32

42.

What is the equation for the table?

a)

y =1/4x -3

b)

y =4x - 3

c)

y = -3x -3

d)

y =-2x -3

linear equations review

Total questions: 42

Worksheet time: 2hrs 22mins

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