Deck 2: Equations, Inequalities, and Problem Solving

Question 1

Identify the numerical coefficient of the term.

Answer 1

D

Question 2

Identify the numerical coefficient of the term.

Answer 2

D

Question 3

Simplify the expression by combining any like terms.

Answer 3

A

Question 4

Simplify the expression by combining any like terms.
4x + 2x

A) 6 + x
B) 6x
C) 8x
D) 2x

Question 5

Simplify the expression by combining any like terms.

Question 6

Identify the numerical coefficient of the term.

Question 7

Indicate whether the list of terms are like or unlike.

Question 8

Simplify the expression by combining any like terms.

Question 9

Simplify the expression by combining any like terms.

Question 10

Simplify the expression by combining any like terms.
6z + 5 - 3z + 10

A) 9z + 15
B) 3z + 15
C) 18z
D) 3z - 5

Question 11

Identify the numerical coefficient of the term.

Question 12

Indicate whether the list of terms are like or unlike.

Question 13

Identify the numerical coefficient of the term.

Question 14

Indicate whether the list of terms are like or unlike.

Question 15

Simplify the expression by combining any like terms.
7x + 2 + 2x + 3

A) 14
B) 9x + 5
C) 5x + 5
D) 14x

Question 16

Simplify the expression by combining any like terms.
8a - 3a - a - 10

A) 5a - a - 10
B) 4a - 10
C) 5a - 10
D) 5a - 11

Question 17

Indicate whether the list of terms are like or unlike.

Question 18

Simplify the expression by combining any like terms.

Question 19

Identify the numerical coefficient of the term.

Question 20

Indicate whether the list of terms are like or unlike.

Question 21

Simplify the expression by combining any like terms.
-1.1c + 4 - 3c - 2.8

A) -2.9
B) -4.1c + 1.2
C) -1.1c - 3c + 4 - 2.8
D) 3.3c - 11.2

Question 22

Simplify the expression. First use the distributive property to remove any parentheses.
-4(10r + 10) + 2(7r + 7)

A) -26r + 10
B) -80r
C) 6r + 6
D) -26r - 26

Question 23

Simplify the expression by combining any like terms.
5.8w - 1.9 - 3.7w + 6 + 2.3w

A) 4.4w + 7.9
B) 4.4w - 4.1
C) 11.8w + 4.1
D) 4.4w + 4.1

Question 24

Simplify the expression. First use the distributive property to remove any parentheses.
-3(6x + 5)

A) 3x + 2
B) -33x
C) -18x + 5
D) -18x - 15

Question 25

Simplify the expression. First use the distributive property to remove any parentheses.
-10(r + 2)

A) r - 20
B) -10r + 20
C) -10r - 20
D) -10r - 2

Question 26

Simplify the expression. First use the distributive property to remove any parentheses.
9(y + 9)

A) 9y + 81
B) 9y + 18
C) y + 81
D) 9y + 9

Question 27

Simplify the expression. First use the distributive property to remove any parentheses.
-(8y - 6z + 7)

A) -8y - 6z + 7
B) -8y - 6z - 7
C) -8y + 6z + 7
D) -8y + 6z - 7

Question 28

Simplify the expression. First use the distributive property to remove any parentheses.
-5(z - 5)

A) -5z + 5
B) -5z - 25
C) -5z + 25
D) 5z + 25

Question 29

Simplify the expression by combining any like terms.
8x + 1 + 2x + x - 4

A) 9x - 3
B) 10x - 3
C) 10x + 3
D) 11x - 3

Question 30

Simplify the expression. First use the distributive property to remove any parentheses.
4(y + 10) - 5

A) 14y - 5
B) 4y + 35
C) 4y + 5
D) 4y + 20

Question 31

Simplify the expression by combining any like terms.

Question 32

Simplify the expression by combining any like terms.
-4m + 4 - 1 + 4 + m - 7

A) -3m
B) -5m
C) -3m - 1
D) -5m + 1

Question 33

Simplify the expression. First use the distributive property to remove any parentheses.
8(4n - 4)

A) 12n - 12
B) 32n - 4
C) 32n + 32
D) 32n - 32

Question 34

Simplify the expression. First use the distributive property to remove any parentheses.
-(-8m + 9n - 4)

A) -8m + 9n - 4
B) 8m - 9n - 4
C) -8m + 9n + 4
D) 8m - 9n + 4

Question 35

Simplify the expression. First use the distributive property to remove any parentheses.
(12z + 10) - (3z - 5)

A) 9z + 15
B) 15z + 15
C) 9z + 5
D) 9z - 15

Question 36

Simplify the expression. First use the distributive property to remove any parentheses.
6(4x + 7 + y)

A) 24x + 42 + 6y
B) 24x + 7 + 6y
C) 24x + 42 + y
D) 24x + 7 + y

Question 37

Simplify the expression. First use the distributive property to remove any parentheses.
-6(4y - 5)

A) -2y + 1
B) -24y - 30
C) -24y - 5
D) -24y + 30

Question 38

Simplify the expression. First use the distributive property to remove any parentheses.
6(4x + 6y + 8)

A) 24x + 36y + 48
B) 24x + 36y + 8
C) 24x + 6y + 48
D) 24x + 6y + 8

Question 39

Simplify the expression. First use the distributive property to remove any parentheses.
9(7d + 8)

A) 63d + 8
B) 63d + 72
C) 135d
D) 16d + 17

Question 40

Simplify the expression. First use the distributive property to remove any parentheses.
6(x - 8)

A) 6x - 48
B) 6x + 48
C) 6x - 8
D) 6x - 14

Question 41

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.

Question 42

Write the algebraic expression described.

Question 43

Write the following as an algebraic expression. Simplify if possible.
Add 9x - 4 to 4x - 12.

A) 13x - 16
B) 13x + 16
C) 5x - 16
D) 13x - 8

Question 44

Write the following as an algebraic expression. Simplify if possible.
Add 8x + 9 to 4x - 2.

A) 12x + 7
B) 4x + 7
C) 12x - 11
D) 12x + 11

Question 45

Simplify the expression. First use the distributive property to remove any parentheses.

Question 46

Write the algebraic expression described.
To convert from meters to centimeters, we multiply by 100. For example, the number of centimeters in 3 meters is 100 · 3 = 300. If one piece of string has a length of x - 9 meters, and another piece of
String has a length of 8x + 7 centimeters, express their total length in centimeters as an algebraic
Expression.

A) (900x - 200) cm
B) (9x - 2) cm
C) (108x - 893) cm
D) (801x + 691) cm

Question 47

Write the following as an algebraic expression. Simplify if possible.
Subtract 9x + 14 from 4x - 8.

A) 13x + 6
B) -5x - 22
C) 5x + 22
D) -5x - 6

Question 48

Write the algebraic expression described.
The value of 8 dimes is 10 · 8 = 80 cents. Likewise, the value of x dimes is 10x. If George finds 4x - 2 nickels, 6x dimes, and x quarters in his change jar, express the total value of change in cents as an
Algebraic expression.

A) (80x - 10) cents
B) (105x - 2) cents
C) (105x - 10) cents
D) (105x + 10) cents

Question 49

Write the following as an algebraic expression. Simplify if possible.
Subtract 4x - 8 from 8x + 13.

A) 4x + 21
B) 4x - 21
C) 12x + 5
D) -4x - 21

Question 50

Simplify the expression. First use the distributive property to remove any parentheses.
-6(2x - 7) - 4x + 6

A) 8x + 48
B) 16x + 48
C) -16x - 36
D) -16x + 48

Question 51

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
Five times a number, increased by ten

A) 5x + 10
B) 5 + 10x
C) 5x - 10
D) 5x + 50

Question 52

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.

Question 53

Simplify the expression. First use the distributive property to remove any parentheses.
10m + 2n - 2m + 10(m - 5n)

A) -2m + 52n
B) 22m + 52n
C) 18m - 3n
D) 18m - 48n

Question 54

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.

Question 55

Simplify the expression. First use the distributive property to remove any parentheses.

Question 56

Simplify the expression. First use the distributive property to remove any parentheses.
5(x + 3) + 7x + 6

A) 12x - 9
B) 12x + 9
C) 2x + 21
D) 12x + 21

Question 57

Solve the equation.
-7 = r + 18

A) -25
B) -11
C) 25
D) 11

Question 58

Simplify the expression. First use the distributive property to remove any parentheses.
5x + 2(x + 5)

A) 6x + 10
B) 10x + 7
C) 7x + 10
D) 7x - 10

Question 59

Simplify the expression. First use the distributive property to remove any parentheses.

Question 60

Solve the equation.
x - 18 = 3

A) -21
B) 15
C) -15
D) 21

Question 61

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
8(8x - 5) = 65x

A) 5
B) -5
C) 40
D) -40

Question 62

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
10n = 6n + 3 + 3n

A) 3
B) 30
C) -3
D) -30

Question 63

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-6c + 6 + 4c = -3c + 11

A) 11
B) -11
C) 5
D) -6

Question 64

Solve the equation.
-4x = 16

A) -20
B) 1
C) 20
D) -4

Question 65

Solve the equation.
-4.7 + x = 24.9

A) 19.7
B) 29.1
C) 29.6
D) 20.2

Question 66

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-4w - 12 + 5w = 1

A) -13
B) -11
C) 13
D) 11

Question 67

Solve the equation.

Question 68

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-6k + 4 + 7k = 12 - 24

A) 40
B) 16
C) -16
D) -40

Question 69

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
4(x - 5) - (3x + 9) = 4

A) - 18
B) - 25
C) 33
D) - 33

Question 70

Solve the equation. Don't forget to first simplify each side of the equation, if possible.

Question 71

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
2(2z - 3) = 3(z + 3)

A) 15
B) 3
C) -3
D) 5

Question 72

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-8.8 + 4x - 6.9 + 3x - 2.8 = 5.8 + 8x + 1.5

A) -11.2
B) -25.8
C) 11.2
D) 25.8

Question 73

Solve the equation.
6y = 5y - 4.3

A) -4.3
B) 4.3
C) -15.3
D) 6

Question 74

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
2(y + 7) = 3(y - 5)

A) 1
B) -1
C) -29
D) 29

Question 75

Solve the equation.
t - 8 = 14

A) -22
B) 6
C) 22
D) -6

Question 76

Solve the equation.
-10x = 0

A) 1
B) -10
C) 10
D) 0

Question 77

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
4n - 3n + 6 = 6

A) 0
B) 12
C) 6
D) -6

Question 78

Solve the equation.
-9n = -81

A) 72
B) 9
C) 2
D) -72

Question 79

Solve the equation.
2 + 8y = 9y

A) -15
B) 2
C) -2
D) 8

Question 80

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-26 + 10 = 3x + 4 - 2x

A) -40
B) -20
C) 40
D) 20