Deck 2: Solving Linear Equations and Inequalities

Question 1

Simplify.
-5y + 1 - 7 + 7 + y - 1

A) -6y
B) -6y + 1
C) -4y
D) -4y - 1

Answer 1

-4y

Question 2

Determine whether the terms are like or unlike.
8b, 11, 13a

A) like
B) unlike

Answer 2

unlike

Question 3

Simplify.

A) -5x64
B)
C)
D)

Answer 3

Question 4

For the given expression, identify the terms and the numerical coefficients.

A)
B)
C)
D)

Question 5

Simplify.
5.9k - 1.3 - 3.5k + 6 + 2.1k

A) 11.5k + 4.7
B) 4.5k + 4.7
C) 4.5k - 4.7
D) 4.5k + 7.3

Question 6

Determine whether the terms are like or unlike.
13z, -8z

A) like
B) unlike

Question 7

Determine whether the terms are like or unlike.

A) like
B) unlike

Question 8

Simplify.
8a - 2a + 6

A) -6a + 6
B) 12a
C) 6a + 6
D) 10a + 6

Question 9

Determine whether the terms are like or unlike.

A) like
B) unlike

Question 10

Simplify.

A)
B)
C)
D)

Question 11

Determine whether the terms are like or unlike.
ab, 13ba

A) like
B) unlike

Question 12

Determine whether the terms are like or unlike.
6, 2, -9

A) like
B) unlike

Question 13

For the given expression, identify the terms and the numerical coefficients.

A)
B)
C)
D)

Question 14

Simplify.
-0.5x - 0.9x - 0.7x

A) -0.5x - 0.9x - 0.7x
B) -2.6x
C) -2.1x
D) -9x

Question 15

Simplify.
8z + 6 - 2z + 3

A) 15z
B) 10z + 9
C) 6z + 3
D) 6z + 9

Question 16

For the given expression, identify the terms and the numerical coefficients.

A)
B)
C)
D)

Question 17

Simplify.
-8y - 6y

A) 14y
B) -14y
C) -2y
D)

Question 18

Simplify.

A)
B)
C)
D)

Question 19

For the given expression, identify the terms and the numerical coefficients.

A)
B)
C)
D)

Question 20

Determine whether the terms are like or unlike.
7m, 6m, -3m

A) like
B) unlike

Question 21

Use the distributive property to remove parentheses.
-8(10n + 3)

A) -80n + 3
B) n - 5
C) -104n
D) -80n - 24

Question 22

Simplify.
-3(9r + 7) + 5(9r + 10)

A) 18r + 7
B) r + 4
C) -48r
D) 18r + 29

Question 23

Use the distributive property to remove parentheses.

A) -4y + 4x + 4z
B) -4y + 3x - 3z
C) -4y - 4x - 4z
D) -4y - 4x + 4z

Question 24

Use the distributive property to remove parentheses.
6(3n + 4)

A) 9n + 10
B) 42n
C) 18n + 24
D) 18n + 4

Question 25

Use the distributive property to remove parentheses.
(-5m + 9n - 9p)

A) -5m + 9n - 9p
B) 5m - 9n + 9p
C) -5m + 9n + 9p
D) 5m - 9n - 9p

Question 26

Use the distributive property to remove parentheses.

A) 27x - 18
B) 3x - 6
C) x
D) 3x - 2

Question 27

Simplify.
-6(3r + 5) + 8(8r + 2)

A) -48r
B) 46r - 14
C) 46r + 5
D) -3r - 1

Question 28

Simplify.
-6(2x - 8) - 4x + 6

A) -16x - 42
B) 8x + 54
C) 16x + 54
D) -16x + 54

Question 29

Use the distributive property to remove parentheses.
- (6x + 9y)

A) -6x - 9y
B) -6x + 9y
C) 6x + 9y
D) 6x - 9y

Question 30

Simplify.

A)
B)
C)
D)

Question 31

Use the distributive property to remove parentheses.
1.4(3.2x - 4.5y + 3.4)

A) 4.6x - 3.1y + 4.8
B) 2.29x - 3.21y + 2.43
C) 4.48x - 4.5y + 3.4
D) 4.48x - 6.3y + 4.76

Question 32

Simplify.
-2x - 4(x - 5y)

A) -6x - 5y
B) -3x + 20y
C) -6x - 20y
D) -6x + 20y

Question 33

Simplify.
-8 + 9(14 - 6m)

A) 118 - 54m
B) 118 - 6m
C) 126 - 54m
D) 118 + 54m

Question 34

Simplify.

A)
B)
C)
D)

Question 35

Use the distributive property to remove parentheses.
0.3(3x + 0.4)

A) 0.9x + 0.12
B) 3.3x + 0.7
C) 0.9x + 0.4
D) 10x + 0.12

Question 36

Use the distributive property to remove parentheses.
9(5x + 5y + 2)

A) 45x + 45y + 2
B) 45x + 5y + 18
C) 45x + 45y + 18
D) 45x + 5y + 2

Question 37

Simplify.
-2(10r + 7) + 8(2r + 9)

A) -4r + 7
B) 8r + 5
C) -4r + 58
D) -34r

Question 38

Simplify.

A)
B)
C)
D)

Question 39

Use the distributive property to remove parentheses.
-7(a + x)

A) -7a - 7x
B) -7a + x
C) -7a + 7x
D) -7ax

Question 40

Simplify.
-

A)
B)
C)
D) 0

Question 41

Simplify.
0.3 - 0.3(y + 5) + 0.8 - 2

A) -0.3y - 2.4
B) y + 1.6
C) 0.3y + 0.6
D) -0.3y - 5.9

Question 42

Solve the problem.
Is y = 6 a solution of 2y + 4(y - 4) = 20?

A) Yes
B) No

Question 43

Simplify.

A)
B)
C)
D)

Question 44

Solve the problem.
Is k = 1 a solution of 3k - 5 = 2k - 6?

A) Yes
B) No

Question 45

Solve the equation and check your solution.
x - 18 = -5

A) x = 13
B) x = 23
C) x = -23
D) x = -13

Question 46

Solve the equation and check your solution.
7.6 + x = 14.9

A) x = 22.5
B) x = 22
C) x = 6.8
D) x = 7.3

Question 47

Solve the problem.
Is x = 7 a solution of 3x + 3 = 26?

A) Yes
B) No

Question 48

Determine whether the given equations are equivalent equations.
3x + 5 = 7, 3x = 12, x = 4

A) Equivalent equations
B) Not equivalent equations

Question 49

Solve the problem.
Is z = a solution of -(z - 9) - (z - 1) = 2z - 16?

A) Yes
B) No

Question 50

Identify the equation as linear or nonlinear.
5x - 9y = 1

A) nonlinear
B) linear

Question 51

Solve the problem.
Is x = 9 a solution of x - 7 = 2?

A) Yes
B) No

Question 52

Identify the equation as linear or nonlinear.
y = - 8

A) nonlinear
B) linear

Question 53

Solve the equation and check your solution.
t - 8 = 10

A) t = -2
B) t = 2
C) t = -18
D) t = 18

Question 54

Solve the equation and check your solution.
-11 = x - 13

A) x = -24
B) x = 24
C) x = 2
D) x = -2

Question 55

Solve the problem.
Is p = 5 a solution of p + 7 = 12?

A) Yes
B) No

Question 56

Solve the equation and check your solution.
7.1 + x = 12.9

A) x = 5.8
B) x = 19.5
C) x = 5.3
D) x = 20

Question 57

Solve the problem.
Is x = 3 a solution of 6x + 7x - 3 = 36?

A) Yes
B) No

Question 58

Determine whether the given equations are equivalent equations.
3x - 5 = 7, 3x = 12, x = 4

A) Equivalent equations
B) Not equivalent equations

Question 59

Identify the equation as linear or nonlinear.
y = - 3x + 8

A) nonlinear
B) linear

Question 60

Solve the equation and check your solution.
-1.1 + x = 12

A) x = 10.4
B) x = 10.9
C) x = 12.6
D) x = 13.1

Question 61

Solve the equation.
6n - 3 = 15

A) n = 12
B) n = 5
C) n = 16
D) n = 3

Question 62

Find the reciprocal.

A)
B)
C)
D)

Question 63

Find the reciprocal.

A)
B)
C)
D)

Question 64

Solve the equation.
8r + 7 = 39

A) r = 28
B) r = 24
C) r = 2
D) r = 4

Question 65

Find the reciprocal.
-64.0 = -8.0x

A) x = -56
B) x = 8
C) x = 56
D) x = 2

Question 66

Find the reciprocal.
-8x = -64

A) x = 56
B) x = 8
C) x = 2
D) x = -56

Question 67

Find the reciprocal.

A) n = 3
B) n = 27
C) n = 12
D) n = 11

Question 68

Find the reciprocal.

A) k = -4
B) k = 8
C) k = 7
D) k = -9

Question 69

Solve the equation and check your solution.
7.8 = 21.9 - x

A) x = 14.1
B) x = 29.2
C) x = 29.7
D) x = 13.6

Question 70

Find the reciprocal.
-12.9 = -4.3x

A) x = -8.6
B) x = 8.6
C) x = 2
D) x = 3

Question 71

Find the reciprocal.
-y = 3

A) y = -1
B) y = -3
C) y = 3
D) y = 0

Question 72

Find the reciprocal.
20

A)
B) 1
C)
D) -20

Question 73

Find the reciprocal.

A) n = 40
B) n = 2
C) n = 13
D) n = 14

Question 74

Find the reciprocal.
-4.65 = 1.55v

A) v = -7.21
B) v = -3
C)
D) v = 3

Question 75

Find the reciprocal.

A) x = 14
B) x = 40
C) x = 2
D) x = 13

Question 76

Find the reciprocal.

A) 9
B)
C) 1
D) -9

Question 77

Solve the equation.
5x - (3x - 1) = 2

A)
B)
C)
D)

Question 78

Find the reciprocal.
-7x = -42

A) x = 6
B) x = 35
C) x = -35
D) x = 2

Question 79

Find the reciprocal.

A)
B) 8
C)
D)

Question 80

Solve the equation.
7x - (2x - 1) = 2

A)
B)
C)
D)