Deck 3: Solving Equations and Inequalities

Question 1

Solve the equation using the addition principle.
8 = z + 7

A) 15
B) -15
C) 1
D) -1

Answer 1

C

Question 2

Decide if the given number is a solution to the given equation.

-p - 7 = 1; 8

Answer 2

True

Question 3

Solve the equation using the addition principle.
27 = -21 + z

A) 48
B) -6
C) 6
D) -48

Answer 3

A

Question 4

Solve the equation using the addition principle.

A)
B)
C)
D)

Question 5

Solve the equation using the addition principle.
a - 8 = -7

A) -15
B) -1
C) 15
D) 1

Question 6

Decide if the given number is a solution to the given equation.

-p + 5 = 16; 11

Question 7

Decide if the given number is a solution to the given equation.

-2x = 16; 6

Question 8

Solve the equation using the addition principle.

A) 4
B)
C)
D)

Question 9

Solve using the multiplication principle.
7x = 28

A) 21
B) 4
C)
D) 196

Question 10

Solve the equation using the addition principle.
+ x = 4

A) 11
B)
C) 1
D)

Question 11

Decide if the given number is a solution to the given equation.

- = 8; 72

Question 12

Solve the equation using the addition principle.
-24.7 = 29.8 + x

A) -5.1
B) 5.1
C) 54.5
D) -54.5

Question 13

Solve the equation using the addition principle.
z - 22.43 = 0

A) -21.43
B) 22.43
C) -22.43
D) 21.43

Question 14

Solve the equation using the addition principle.
a + 1 = 3

A) -2
B) 4
C) -4
D) 2

Question 15

Decide if the given number is a solution to the given equation.

-6m + 4 = 18; 2

Question 16

Solve the equation using the addition principle.
-20 = b - 2

A) 18
B) -22
C) 22
D) -18

Question 17

Solve the equation using the addition principle.

A) 2
B) 9
C) 5
D) 4

Question 18

Solve the equation using the addition principle.
-7 + b = 11

A) -18
B) 4
C) -4
D) 18

Question 19

Decide if the given number is a solution to the given equation.

-9p + 3p - 4 = 32; 3

Question 20

Solve the equation using the addition principle.

A) 3
B)
C)
D)

Question 21

Solve using the multiplication principle.
-2x = -18

A) 9
B) 16
C) -16
D) 2

Question 22

Solve using the multiplication principle.
x = 27

A)
B)
C)
D) 30

Question 23

Solve using the multiplication principle.
= - 10

A) 20
B) 4
C) -2
D) 5

Question 24

Solve using the multiplication principle.
= 21

A) -168
B) -147
C) -29
D) -160

Question 25

Solve using the multiplication principle.
15 = 5x

A) 10
B)
C) 75
D) 3

Question 26

Solve using the multiplication principle.
= 15

A) 56
B) 45
C) 19
D) 60

Question 27

Solve using the multiplication principle.
= 14

A) 17
B) 39
C) 28
D) 42

Question 28

Solve using the multiplication principle.
-7b = 119

A) -126
B) 126
C) -17
D) 1

Question 29

Solve using the multiplication principle.
-

A)
B)
C)
D)

Question 30

Solve using the multiplication principle.
-4s = -68

A) -64
B) 2
C) 17
D) 64

Question 31

Solve using the multiplication principle.
= 16

A) -105
B) -96
C) -23
D) -112

Question 32

Solve using the multiplication principle.

A)
B)
C)
D)

Question 33

Solve using the multiplication principle.

A)
B)
C)
D)

Question 34

Solve using the multiplication principle.
-x = -11

A) -10
B)
C) -11
D) 11

Question 35

Solve using the multiplication principle.
-112 = -7n

A) 16
B) 2
C) 105
D) -105

Question 36

Solve using the multiplication principle.
= 17

A) -68
B) -22
C) -80
D) -85

Question 37

Solve using the multiplication principle.
49 = -7k

A) -7
B) 1
C) 56
D) -56

Question 38

Solve using the multiplication principle.
-7a = 35

A) -5
B) -42
C) 42
D) 1

Question 39

Solve using the multiplication principle.

A)
B)
C)
D)

Question 40

Solve using the multiplication principle.
-126 = 9z

A) 1
B) -135
C) -14
D) 135

Question 41

Solve using the multiplication principle.
= -3.00

A) -27.00
B) -3.00
C) 6.00
D) 5.00

Question 42

Solve.
7r + 8 = 64

A) 8
B) 49
C) 1
D) 53

Question 43

Solve using the multiplication principle.
= 9.12

A) -12.16
B) -8.96
C) -9.16
D) -5.12

Question 44

Solve using the multiplication principle.
-48.3y = 821.1

A) -17
B) -804.1
C)
D) -772.8

Question 45

Solve using the multiplication principle.
53.4 = 8.9y

A) 47.4
B) 6
C)
D) 44.5

Question 46

Solve.
7n - 10 = 11

A) 18
B) 11
C) 3
D) 14

Question 47

Solve using the multiplication principle.
-19.2m = -153.6

A)
B) 8
C) 145.6
D) 134.4

Question 48

Solve using the multiplication principle.
18.3t = -91.5

A) -5
B) -73.2
C) -86.5
D)

Question 49

Solve.
9x + 5 = -22

A)
B) -3
C) -36
D) - 2

Question 50

Solve.
4 + 10p = -6

A) 1
B)
C)
D) - 1

Question 51

Solve.
178 = 12x + 10

A) 4
B) 14
C) 156
D) 160

Question 52

Solve using the multiplication principle.
8.3x = 58.1

A)
B) 7
C) 49.8
D) 51.1

Question 53

Solve using the multiplication principle.
39.2x = 274.4

A) 267.4
B)
C) 235.2
D) 7

Question 54

Solve using the multiplication principle.
-4.8m = -14.4

A) 11.4
B) 3
C) 13
D) 9.6

Question 55

Solve using the multiplication principle.

A)
B)
C)
D)

Question 56

Solve.
10 = 6x - 2

A) 6
B) 2
C) 10
D) 3

Question 57

Solve using the multiplication principle.
= -32.27

A) 13.83
B) 29.27
C) 16.39
D) 6.83

Question 58

Solve using the multiplication principle.
-9.9y = 39.6

A) -29.7
B) -4
C)
D) -35.6

Question 59

Solve using the multiplication principle.
3.1t = -27.9

A)
B) -9
C) -24.8
D) -18.9

Question 60

Solve using the multiplication principle.
-37.6 = 9.4z

A) -28.2
B) -33.6
C)
D) -4

Question 61

Solve.
- 5 = 1

A) 20
B) 30
C) -20
D) -30

Question 62

Solve.
8y - 15 = 3y

A)
B) -3
C) 3
D)

Question 63

Solve.
6x + 5 = 3x + 26

A)
B) 7
C) 9
D)

Question 64

Solve.
-6a + 3 + 7a = 5 - 28

A) -36
B) 36
C) 26
D) -26

Question 65

Solve.
12 - 10x = 3x - 2x - 65

A)
B)
C)
D) 7

Question 66

Solve.
-2x - 18 = -58

A) 20
B) -20
C) -38
D) 38

Question 67

Solve. Clear fractions first.
- 9 = 4

A) 41
B) -39
C) -41
D) 39

Question 68

Solve.
-8b + 1 + 6b = -3b + 6

A) 5
B) -6
C) -1
D) 6

Question 69

Solve.
= -6

A) -23
B) 23
C) 25
D) -25

Question 70

Solve.
-3x - 7x = -60

A) -6
B) 7
C) 6
D) -50

Question 71

Solve. Clear fractions first.
- 25 = -15

A) -6
B) 2
C) 24
D) 6

Question 72

Solve. Clear fractions first.
= 3

A) -45
B) 45
C) 90
D) -90

Question 73

Solve.
9x + 2x = 22

A) 2
B)
C)
D) 11

Question 74

Solve.
-9n - 3 = 78

A) -72
B) -9
C) 9
D) 76

Question 75

Solve.
9x - 3 + 3x = 6x + 77 - 4x

A) 8
B) 10
C) 7
D) 9

Question 76

Solve.
-40 = -8x + 8

A) 44
B) -6
C) 40
D) 6

Question 77

Solve.
7y - 5 = 49 + y

A)
B)
C)
D) 9

Question 78

Solve.
5x - 1 = 77 - 8x

A) -6
B) - 26
C)
D) 6

Question 79

Solve. Clear fractions first.

A) 4
B) 3
C) -4
D) -12

Question 80

Solve. Clear fractions first.
x + = 27

A) 18
B) 9
C) 54
D) 21