Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

P F Test 3 -- Linear Equations

Total questions: 35

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

Solve the equation for x.


13x = 12\frac{1}{3}x\ =\ 12

a)

4

b)

15

c)
36
d)

9

2.

Solve for x

x −11 = −5x\ -11\ =\ -5

a)
-16
b)
6
c)

-16

d)
-6
3.

Solve for x.

4x − 8 = 244x\ -\ 8\ =\ 24

a)
8
b)

2

c)
10
d)
6
4.

Solve for x.

17 − 2x = 317\ -\ 2x\ =\ 3

a)
5
b)

-10

c)

10

d)
7
5.

Solve for x.

10x + 6  =  4x +1210x\ +\ 6\ \ =\ \ 4x\ +12

a)
1
b)

-3

c)

3

d)
2
6.

Solve for x.

x + 45 =x − 82\frac{x\ +\ 4}{5}\ =\frac{x\ -\ 8}{2}

a)
16
b)

3

c)

-3

d)

−323\frac{-32}{3}

7.

Solve for z

uv = yz\frac{u}{v}\ =\ \frac{y}{z}

a)

z = vyu\frac{vy}{u}

b)

z = uyv\frac{uy}{v}

c)

z = vuy\frac{v}{uy}

d)

z = uvy\frac{u}{vy}

8.

Solve for a

3a + b = 9 + 6c3a\ +\ b\ =\ 9\ +\ 6c

a)

3b + 2c

b)

3 - b + 2c

c)

9 + 6cb\frac{9\ +\ 6c}{b}

d)

9 − b + 6c3\frac{9\ -\ b\ +\ 6c}{3}

9.

Solve the inequality for x.

7x - 8 > 5x

a)

x < 4

b)

x > 4

c)

x < -4

d)

x > -4

10.

Solve the inequality for x

20 - x < 8

a)

x < 12

b)

x > 12

c)

x < -12

d)

x > -12

11.

Select the equation of a line with a slope of -2 and a y-intercept of 7.

a)

y = 7x - 2

b)

y = -2x + 7

c)

x = -2y + 7

d)

x = 7y - 2

12.

Select the equation of a line with a slope of zero passing through (10, 4)

a)

x = 10

b)

y = 10

c)

x = 4

d)

y = 4

13.

Select the equation of a line with an undefined slope passing through (-1, 3).

a)

x = -1

b)

y = -1

c)

x = 3

d)

y = 3

14.

Find the slope a line passing through (7, 4) and (0, 0).

a)

m = undefined

b)

m = 0

c)

m = 4/7

d)

m = -7/4

15.

Find the slope of a line passing through (5, 2) and (9, 4)

a)

m = 1/2

b)

m = 3/5

c)

m = -5/3

d)

m = -2

16.

Select the slope of the line

x = 7

a)

7

b)

1/7

c)

0

d)

undefined

17.

Find the slope of a line passing through (2, 8) and (5, 8)

a)

m = -1/2

b)

m = 2

c)

m = undefined

d)

m = 0

18.

Select the slope of the line

y = 1/2

a)

1/2

b)

2

c)

0

d)

undefined

19.

Select the slope of the line

x - 5y = 10

a)

-5

b)

-2

c)

10

d)

1/5

20.

Select the line with a slope of -2 which passes through (5, -3)

a)

y = -2x + 11

b)

y = -2x + 5

c)

y = -2x - 3

d)

y = -2x + 7

21.

Select the line with a slope of 1 that passes through the origin.

a)

y = x

b)

x = 1

c)

y = 1

d)

x = 0

22.

Select the line with a slope of 3 that passes through (6, -6).

a)

y = 3x - 24

b)

y = 3x - 12

c)

y = 3x + 30

d)

y = 3x + 6

23.

Identify the x- and y-intercepts of 3x - 2y = 12

a)

(4, 0) and (0, -6)

b)

(-6, 0) and (0, 4)

c)

(4, 0) and (-6, 0)

d)

(0, 4) and (0, -6)

24.

Identify the x- and y-intercepts of x + 8y = 4

a)

(4, 0) and (0, 2)

b)

(0, 0) and (0, 2)

c)

(4, 0) and (0, 1/2)

d)

(0, 0) and (0, 1/2)

25.

Select the equation of the line which passes through (3, 4) and (-3, -8)

a)

y = 3

b)

x = 3

c)

y = 2x - 2

d)

y = -2x + 2

26.

Select the equation of the line which passes through (0, 3) and (7, 6)

a)

y = (3/7)x + 3

b)

y = (-1/3)x + 3

c)

y = -3x + 3

d)

y = (7/3)x + 3

27.

Select the equation of the line which passes through (4, 0) and (-1, 2)

a)

y = (-3/4)x + 3

b)

y = (-2/5)x + 8/5

c)

y = (-2/3)x + 4/3

d)

y = (1/4)x - 1

28.

Select the equation of the line passing through (-2, -5) with a slope of 3

a)

y - 5 = 3(x - 2)

b)

y + 2 = 3(x + 5)

c)

y - 2 = 3(x - 5)

d)

y + 5 = 3(x + 2)

29.

Select the equation of the line parallel to y = -4x + 3 with a y-intercept of 6

a)

y = -6x + 3

b)

y = 6x + 3

c)

y = 4x + 6

d)

y = -4x + 6

30.

Select the equation of the line perpendicular to y = -4x + 3 with a y-intercept of 6.

a)

y = 4x + 6

b)

y = (1/4)x + 6

c)

y = (-1/4)x + 6

d)

x = 4y + 6

31.

Select the equation of the line parallel to y = 7 which passes through (3, -1)

a)

y = 3

b)

y = -1

c)

x = 3

d)

x = -1

32.

Select the equation of the line perpendicular to y = 2 which passes through (-10, 5)

a)

x = -10

b)

x = 1/10

c)

y = (1/2)x + 5

d)

y = (-1/2)x + 5

33.

Select the equation of the line parallel to y = (1/2)x + 9 which passes through (4, -4)

a)

y = (1/2)x + 6

b)

y = (1/2)x + 4

c)

y = (1/2)x - 4

d)

y = (1/2)x - 6

34.

Select the equation of the line

parallel to 2x + 5y = 15 which passes through (6, -3)

a)

2x + 5y = 6

b)

2x + 5y = -3

c)

5x + 2y = 24

d)

5x + 2y = -18

35.

Select the equation of the line

perpendicular to 4x + 2y = 19 which passes through (3, -3)

a)

4x - 2y = 18

b)

x - 2y = 9

c)

4x - 2y = -6

d)

x - 2y = -3