Free Printable Linear Functions Review

1.

What is the formula for finding slope of the line containing $\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)$ ?

a)

$m=\frac{y_2-y_1}{x_2-x_1}$

b)

$m=\frac{x_2-x_1}{y_2-y_1}$

c)

$m=\frac{y_2-y_1}{x_1-x_2}$

d)

$m=\frac{y_1-y_2}{x_2-x_1}$

2.

Find the slope of the line that contains the given points:

$\left(2,-3\right)\ and\ \left(5,-1\right)$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$-\frac{2}{3}$

d)

$-\frac{3}{2}$

3.

Find the slope of the line that contains the given points:

$\left(3,-9\right)\ and\ \left(3,11\right)$

a)

$0$

b)

Undefined

4.

Find the slope of the line that contains the given points:

\left(4,12\right)\ and\ \left(-4,12\right)

a)

undefined

b)

$0$

5.

Find the equation of a line in Point-Slope Form that has the given properties:

$m=-\frac{1}{2}\ through\ \left(-5,6\right)$

a)

$y-6=-\frac{1}{2}\left(x+5\right)$

b)

$y+6=-\frac{1}{2}\left(x-5\right)$

c)

$y+5=-\frac{1}{2}\left(x-6\right)$

6.

Find the equation of the line that contains the following conditions, in SLOPE-INTERCEPT Form:

$m=3\ through\ \left(2,-5\right)$

a)

$y=3x-11$

b)

$y+5=3\left(x-2\right)$

c)

$y=3x-1$

d)

$y=3x+14$

7.

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form:

$m=\frac{1}{2}\ through\ \left(8,-1\right)$

a)

$y=\frac{1}{2}x-5$

b)

$y+1=\frac{1}{2}\left(x-8\right)$

c)

$y=\frac{1}{2}x-3$

d)

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

8.

Find the equation of the line that contains the following points in SLOPE-INTERCEPT Form:

$\left(2,-1\right)\ and\ \left(4,-7\right)$

a)

$y=-3x+7$

b)

$y=-3x+5$

c)

$y=-\frac{1}{3}x-\frac{1}{3}$

d)

$y=3x-7$

9.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

10.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

11.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = 2x - 3

12.

What is the y-intercept.

a)

y-intercept is -3

b)

y-intercept -2

c)

y-intercept is 3

d)

y-intercept is -1

13.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

14.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

15.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

16.

a)

A

b)

B

c)

C

d)

D

17.

Writing Equations:
Given the following table, write the linear equation.

a)

y = 9x + 3

b)

y = 3x + 12

c)

y = 3x + 9

d)

y = 1x + 12

18.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

19.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

20.

Solve
$3x+y=1$
$x-2y=19$

a)

$x=-4,\ y=3$

b)

$x=3,\ y=-4$

c)

$x=3,\ y=-8$

d)

$x=4,\ y=8$

21.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

22.

Where do these two lines intersect?

a)

No solution

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

23.

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

24.

What is the equation of the line graphed?

a)

x = -1

b)

y = -1

c)

y = -1x

d)

y = x - 1

25.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

Linear Functions Review

Total questions: 25

Worksheet time: 1hrs 5mins

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