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Worksheets

Equations and Inequalities Review

Total questions: 63

Worksheet time: 5hrs 15mins

Name
Class
Date
1.
h  -  ( -21 ) =  -9
a)
h  =  -30
b)
h  =  30
c)
h  =  12
d)
h  =  -12
2.
y  + ( -4 ) ≥ 15
a)
y  ≤  19
b)
y  ≥  19
c)
y  ≤  11
d)
y  ≥  11
3.
2x  <  -14
a)
x  <  7
b)
x  >  7
c)
x  <  -7
d)
x  >  -7
4.
r - ( -4) > 12
a)
r  >  8
b)
r  <  8
c)
r  >  16
d)
r  >  48
5.
- 15x  ≤  -225
a)
x  ≥  15
b)
x  ≤  15
c)
x  ≥ -15
d)
x  ≤  -15
6.
p  -  ( -7)  =  -32
a)
p  =  39
b)
p  =  -39
c)
p  =  25
d)
p  =  -25
7.
-5x  <  35
a)
x  <  -7
b)
x  >  -7
c)
x  <  7
d)
x  >  7
8.
-9j  -  19  =  -37
a)
j  =  2
b)
j  =  -2
c)
j  =  -3
d)
j  =  3
9.
What is a possible solution set to
  x  +  7  ≤  -9 ?
a)
-2,  0,  2
b)
-5,  -4,  -3
c)
-18,  -17,  -16
d)
-16,  -15,  -14
10.
What is the inverse of multiplication?
a)
Addition
b)
Subtraction
c)
Division
11.
What sign do you get when you divide two negative numbers?
a)
Positive
b)
Negative
12.
What is a possible solution set to the following problem?
-8m  >  40
a)
-5,  -4,  -3 
b)
-4,  -3,  -2
c)
-5,  -6,  -7
d)
-6,  -7,  -8
13.
WHat number is less than -6?
a)
-7
b)
-5
14.
What number is greater than -23?
a)
-22
b)
-24
15.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
16.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
17.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
18.
12+5w-4w=15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
19.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
20.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
21.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
d)
x = 0
22.

Solve:
 3x+15=3(x+5)3x+15=3\left(x+5\right)  

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

23.

Solve for x: x5=2\frac{x}{5}=2  

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

24.

Solve the inequality: 4x721-4x-7\ge21  

a)

x ≥ 7

b)

x ≥ -7

c)

x ≤ 8

d)

x ≤ -7

25.

Solve:
 3xx+4=4(2x+1)3x-x+4=4\left(2x+1\right)  

a)

No Solution

b)

All Real Numbers 

c)

x = 6

d)

x = 0

26.

Solve:

 4x+3(5x+10)=36-4x+3\left(5x+10\right)=-36  

a)

x = 12

b)

x = -10

c)

x = -6

d)

x = -16

27.

Solve:
 12(2x+6)=3x+13\frac{1}{2}\left(2x+6\right)=3x+13  

a)

No Solution 

b)

x = 8

c)

x = -5

d)

x = 7

28.

Solve:

 4(8x+5)=32x264\left(-8x+5\right)=-32x-26  

a)

x = 54

b)

x = -54

c)

All Real Numbers

d)

No Solution

29.

Solve:
 2(a+4)=2a8+4a2\left(a+4\right)=2a-8+4a  

a)

a = 3

b)

a = -3

c)

a = -4

d)

a = 4

30.

Solve:

a)

6.0

b)

3.5

c)

5.0

d)

7.5

31.

Solve:

a)

5.2

b)

6.0

c)

3.5

d)

5.0

32.

Solve:

a)

4.5

b)

126

c)

.22

d)

18

33.

Solve

a)

72

b)

48

c)

24

d)

32

34.

Solve:

a)

x=9

b)

x=18

c)

x=36

d)

x=4

35.

Solve for the variable: 4x+3(x+2)-5(x-2)=8

a)

x=-8/12

b)

x=2

c)

x=3

d)

x=-4

36.

Solve for the variable 4x+2(x+1)-3(x-1)=-13

a)

x=15/9

b)

x=2

c)

x=0

d)

x=-6

37.

Solve:

2x - 9 -3x = -3

a)

-6

b)

-8

c)

1

d)

-4

38.

Solve:

a)

-16

b)

2

c)

4

d)

16

39.

Solve.

4x + 4 = 5x + 6

a)

0

b)

-2

c)

-4

d)

-1

40.

Solve.

-7p + 10 = 4(10p - 9) - 4(4 + 4p)

a)

4

b)

2

c)

1

d)

3

41.

Solve.

-7 + 7z = -6 + 7z

a)

Infinitely many solution

b)

No solution

c)

-1/14

d)

-1 6/7

42.

Solve the inequality?

7(w - 10) > 7

a)

w > 1

b)

w > 17

c)

w < 17

d)

w > 11

43.

Solve the inequality:

- 4x< -12 ?

a)

x < - 3

b)

x > 3

c)

x > -3

d)

x < 3

44.

Solve:

5x−17 = 2x−11 ?

a)

-28/3

b)

-4

c)

6/7

d)

2

45.

Solve:

4x−3(x+2)= - 5 ?

a)

1

b)

-11

c)

-3

d)

-7

46.

Solve:

4(2x−1) < - x+3 ?

a)

x < 1

b)

x < 4/9

c)

x < 7/9

d)

x < -1

47.

Solve the inequality 

-2x+5≥9

a)
x ≤ -2
b)
x ≥ -2
48.

Solve:  2x3+4x=272x-3+4x=27  

a)

12

b)

4

c)

5

d)

15

49.

Solve: 9c-3c=48

a)

c=9

b)

c=3

c)

c=4

d)

c=8

50.

Solve the equation:

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

51.

Solve the equations:

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

a)

4

b)

3

c)

2

d)

1

52.
Solve the equation:
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
53.
Solve the equation:
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
54.

Solve the equation:

5x + 4 = -6

a)

2

b)

-2

c)

10

d)

15

55.

Solve the equation:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

56.

Solve the equation:

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

57.

Solve the equation:

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

58.

Solve the equation:

-4x + 1 = 21

a)

x= 120

b)

x= 5

c)

x= 30

d)

x= -5

59.

Solve: 8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

60.

Solve: 2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

61.

Solve: 5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

62.

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

a)

4

b)

3

c)

2

d)

1

63.
Solve the equation:
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5