Free Printable Absolute Value Equations & Inequalities Test

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Worksheets

Absolute Value Equations & Inequalities Test

Total questions: 50

Worksheet time: 2hrs 53mins

Name

Class

Date

1.

Solve:
|2x-3|=5

a)

x=4

b)

x=4 and x=-4

c)

x=4 and x=-1

d)

x=14

2.

Solve:
2|5x-1|+3=9

a)

x=4/5

b)

x=7/5 and x=-1

c)

x=7/5

d)

x=4/5 and x=-2/5

3.

Solve:
|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

4.

Solve:
|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

5.

Solve:
|x + 4| - 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < -14

c)

all real numbers

d)

no solution

6.

3|−8x| + 8 = 80

a)

x= -7/3 and x= 7/3

b)

x= -3 and x= 3

c)

x=11/3 and x= -11/3

d)

No Solution

7.

|−4 + 5x| = 16

a)

x= 16/5 and x= 12/5

b)

x= 4 and x= -5

c)

x= -12/5 and x= 4

d)

x= 4

8.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

9.

|5 - 5x|+ 1 < 36

a)

no solution

b)

(-6, ∞) and (8, ∞)

c)

(6, -8)

d)

(-6, 8)

10.

|-x - 10|+ 4 < -8

a)

no solution

b)

(2, ∞) or ( -∞, -22)

c)

(-22, 2)

d)

all real numbers

11.

|x - 10|- 7 > -23

a)

no solution

b)

(-6, 26)

c)

(-∞, -6) or (26, ∞)

d)

all real numbers

12.

5 + |3x| > 20

a)

(-∞, -5) or (5, ∞)

b)

(-∞, -5] or [5, ∞)

c)

(-5, ∞) or (-∞, 5)

d)

all real numbers

13.

a)

no solution

b)

(-1/6, ∞) or (-∞, -5/6)

c)

(1/2, ∞) or (-∞, -3/2)

d)

all real numbers

14.

-9|-7x+3| > -27

a)

all real numbers

b)

no solution

c)

(0, 6/7)

d)

[0, 6/7]

15.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

16.

| x + 3 | ≤ 2

a)

No Solution

b)

All Real Numbers

c)

-5 ≤ x ≤ -1

d)

1 ≤ x ≤ 5

17.

| x + 1 | ≥ 3

a)

No Solution

b)

All Real Numbers

c)

x ≤ -4 or x ≥ 2

d)

-4 ≤ x ≤ 2

18.

| n + 2 | - 3 ≥ -6

a)

No Solution

b)

All Real Numbers

c)

n ≤ -5 or n ≥ 1

d)

-5 ≤ n ≤ 1

19.

3 | 2t - 3 | - 5 > 16

a)

No Solution

b)

All Real Numbers

c)

t < -2 or t > 5

d)

-2 < t < 5

20.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

21.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

22.

6r+7=13+7r

a)

-4

b)

7

c)

-6

d)

4

23.

13-4x=1-x

a)

4

b)

8

c)

5

d)

-4

24.

-7x-3x+2=-8x-8

a)

3

b)

9

c)

2

d)

5

25.

-14+6b+7-2b=1+5b

a)

7

b)

1

c)

-8

d)

-6

26.

7a-3=3+6a

a)

-6

b)

8

c)

4

d)

6

27.

Solve for x:
4(1-x)+3x=-2(x+1)

a)

x = -6

b)

x = 6

c)

x = 3

28.

Solve:
2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

29.

Solve:
5y+34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

30.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

31.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

32.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

33.

Solve.
(x/4) + 10 = 34

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

34.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

35.

Solve the equation
12x - 15 = 3(2x+3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

36.

ex 1. Add.
-8.3+(-1.9)

a)

-10.2

b)

10.2

c)

6.4

d)

-6.4

37.

ex 2. Subtract
10.7-(-9.8)

a)

20.5

b)

-20.5

c)

0.9

d)

-0.9

38.

ex 3. Simplify
-3-11+7

a)

-7

b)

7

39.

ex 4. Multiply
(-2) 1/6

a)

-1/3

b)

1/3

c)

-2 1/6

d)

2 1/6

40.

ex 4. Multiply
0(11)

a)

0

b)

11

41.

ex 4. Multiply
8(-2)0

a)

0

b)

-0

42.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

a)

Positive

b)

Negative

c)

Depends on which is bigger.

43.

12 x -2.5

a)

3

b)

-300

c)

-30

44.

-6 ÷ 2 x -3

a)

9

b)

1

45.

ex 5. Divide

a)

-1/8

b)

-8

c)

8

d)

1/8

46.

Write 7.113 x 10⁷ in standard form.

a)

71,130,00

b)

7,113,000

c)

0.0000007113

d)

7,113

47.

Write 0.00000707 in scientific notation.

a)

7.07 x 10^-6

b)

7.07 x 10⁶

c)

707 x 10⁸

d)

707 x 10^-8

48.

Express the following in standard notation:

8.025 x 10^-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

49.

How do you write
8.317 x 10⁶in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

50.

Write 45,000 in scientific notation

a)

4.5 x 10³

b)

4.5 x 10⁴

c)

4.5 x 10^-4

d)

4.5 x 10⁵

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