Deck 3: Linear Equations and Inequalities in Two Variables; Functions

Question 1

Choose the one alternative that best completes the statement or answers the question.

-B - 8 = 1

A) { 9}
B) { 7}
C) { -7}
D) { -9}

Answer 1

{ 9}

Question 2

Choose the one alternative that best completes the statement or answers the question.

-X + 1 = 2

A) {-1}
B) {-3}
C) { 1}
D) { 3}

Answer 2

{ 1}

Question 3

Solve the equation.

-7p - 12 = 6p - 8

A) { -3}
B) { 3}
C) { 4}
D) { 5}

Answer 3

{ 4}

Question 4

Solve the equation.

-6m + 5 = 7m + 8

A) { 2}
B) { -2}
C) { -3}
D) { -4}

Question 5

Solve the equation.

-5.6p + 5 = 4.6p + 10

A) { 6}
B) { 2}
C) { 4}
D) { 5}

Question 6

Solve the equation.

-0.222x + 3 = 1.222x

A) { 6}
B) { 0.333}
C) { -3}
D) { 3}

Question 7

Solve the equation.

--3x + 8 + 4x = 0

A) { -8}
B) { 8}
C) { 0.625}
D) { 1.6}

Question 8

Solve the equation.

- x - 5 = - x

A) {-7}
B) { 7}
C) {-5}
D) { 5}

Question 9

Solve the equation. First simplify the expression by combining like terms.

-10y = 3y + 10 + 6y

A) { -10 }
B) { -100 }
C) { 100 }
D) { 10 }

Question 10

Solve the equation. First simplify the expression by combining like terms.

--6a + 3 + 7a = 11 - 23

A) { -15 }
B) { 15 }
C) { 37 }
D) { -37 }

Question 11

Solve the equation. First simplify the expression by combining like terms.

--6b + 6 + 4b = -3b + 11

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

Question 12

Solve the equation. First simplify the expression by combining like terms.

-4.5x - 3.8 - 7.9x = -3.4x - 3.8

A) { -1 }
B) { 1 }
C) { -3.4 }
D) { 0 }

Question 13

Solve the equation. First simplify the expression by combining like terms.

-

A)
B)
C)
D)

Question 14

Solve the equation. First simplify the expression by combining like terms.

-5(y + 3) = 6(y - 5)

A) { 45}
B) { -15}
C) { -45}
D) { 15}

Question 15

Solve the equation. First simplify the expression by combining like terms.

-3(2z - 4) = 5(z + 2)

A) { 2}
B) { 1}
C) { -2}
D) { 22}

Question 16

Solve the equation. First simplify the expression by combining like terms.

-9(k - 9) - ( 8k + 3) = -9

A) { - 93}
B) { - 75}
C) { 75}
D) { - 3}

Question 17

Solve the equation. First simplify the expression by combining like terms.

-3( -7x + 5) + 5( 3 + 7x) = ( 15 + 15x)

A) { 30}
B) { 15}
C) { -15}
D) { 45}

Question 18

Translate the sentence into an equation using the variable x.

-The sum of a number and 5 is 10.

A) x + 5 = 10
B) 5x = 10
C) x = 5 + 10
D) x + 10 = 5

Question 19

Translate the sentence into an equation using the variable x.

-A number minus 2 equals 4.

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

Question 20

Translate the sentence into an equation using the variable x.

-5 times a number equals 6 less than 6 times the number.

A) 5x = 6 - 6x
B) 5x = 6x - 6
C) 5x = 6 - 6
D) 5x - 6 = 6x

Question 21

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.

- x = 9; multiplied

A) -
B) 6
C)
D) 9

Question 22

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.

-- x = 7; multiplied

A) - 2
B) 7
C)
D) 6

Question 23

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.

-0.2x = 7; multiplied

A) 5
B) -
C) 7
D) 0.2

Question 24

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.

--x = -1.00; multiplied

A) -1.00
B) - 1
C) -1
D) --1.00

Question 25

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.

--9x = -6; divided

A) 9
B) -6
C) -9
D) -

Question 26

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.

--x = -0.05; divided

A) -0.05
B) - 20
C) -1
D) -

Question 27

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.

-0.6x = 2; divided

A) 0.6
B) 2
C) 6
D)

Question 28

Solve the equation.

- x = 3

A) { 15}
B) { 7}
C) { 0}
D) { 8}

Question 29

Solve the equation.

- a = 4

A) { 13}
B) { 0}
C) { 12}
D) { 36}

Question 30

Solve the equation.

- b = -2.06

A) { 10.94}
B) { 9.94}
C) { -26.78}
D) { -7.00}

Question 31

Solve the equation.

- a = 0

A) { 16}
B) { -16}
C) {1}
D) {0}

Question 32

Solve the equation.

- = 7

A) { 12}
B) { 1}
C) { 35}
D) { 11}

Question 33

Solve the equation.

--6a = 36

A) { -42}
B) { 1}
C) { -6}
D) { 42}

Question 34

Solve the equation.

--2.7c = -21.6

A) { 18.9}
B) { 2.0}
C) { 8.0}
D) { -18.9}

Question 35

Solve the equation.

--7x = -63

A) { 56}
B) { 2}
C) { -56}
D) { 9}

Question 36

Solve the equation.

-- m =

A)
B)
C)
D)

Question 37

Solve the equation.

--x = 27

A) {-27}
B) {1}
C) {0}
D) { 27}

Question 38

Solve the equation.

--x = -34

A) {-34}
B) {0}
C) { 34}
D) {1}

Question 39

Solve the equation.

--x =

A)
B) {1}
C)
D) { 14}

Question 40

Solve the equation.

-2x + 3x = 35

A)
B) { 7}
C)
D) { 30}

Question 41

Solve the equation.

-10x - 5x + 3x = 24

A)
B) { 16}
C)
D) { 3}

Question 42

Solve the equation.

-16x + 9x - 8x = 34

A)
B) { 17}
C)
D) { 2}

Question 43

Solve the equation.

-

A) 85
B) 84
C) -83
D) -82

Question 44

Write an equation using the information given in the problem. Use x as the variable.

-When a number is multiplied by 6, the result is 10.

A) = 10
B) 6x = 10
C) = 6
D) 10x = 6

Question 45

Write an equation using the information given in the problem. Use x as the variable.

-When a number is divided by 6, the result is 8.

A) 6x = 8
B) 8x = 6
C) = 8
D) Provide an appropriate response= 6 .

Question 46

Provide an appropriate response.
-While solving an equation, why can't you multiply both sides of the equation by zero?

Question 47

Provide an appropriate response.
-What is the Multiplication Property of Equality?

Question 48

Provide an appropriate response.
-When does the solution of a linear equation not require the use of the Multiplication Property of Equality?

Question 49

Choose the one alternative that best completes the statement or answers the question.

-Which equation does not require the use of the multiplication property of equality to solve the equation?

A) 8x + 5 - ( -7x - 9) = -8
B) -7x - (-8)x = -8
C) - x = -8 - 9
D) -8x + 7x = -8

Question 50

Choose the one alternative that best completes the statement or answers the question.

-Tell whether you would use the addition or multiplication property of equality to solve the equation:
Z - 7 = 2.

A) Addition property
B) Multiplication property

Question 51

Choose the one alternative that best completes the statement or answers the question.

-Tell whether you would use the addition or multiplication property of equality to solve the equation: .

A) Addition property
B) Multiplication property

Question 52

Choose the one alternative that best completes the statement or answers the question.
-A student tried to solve the equation 8x = 56 by dividing each side by 56. Why is this not the correct procedure for solving this equation?

Question 53

Choose the one alternative that best completes the statement or answers the question.
-State how you would find the solution of a linear equation if your next-to-last step reads "-x = 7."

Question 54

Choose the one alternative that best completes the statement or answers the question.
-Write an equation that requires the use of the multiplication property of equality, where both sides must be multiplied by and where the solution is a negative number.

Question 55

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-10 = r - 11

A) -21
B) 1
C) -1
D) 21

Question 56

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-T - 8 = 13

A) 5
B) 21
C) -21
D) -5

Question 57

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-8 + 2y = 3y

A) 2
B) -8
C) 8
D) 3

Question 58

Choose the one alternative that best completes the statement or answers the question Solve the equation.

--0.5 + x = 17.2

A) 17.2
B) 16.2
C) 17.7
D) 16.7

Question 59

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-10n = 4n + 6 + 5n

A) -60
B) 6
C) -6
D) 60

Question 60

Choose the one alternative that best completes the statement or answers the question Solve the equation.

--5k + 3 + 6k = 14 - 23

A) 12
B) 40
C) -12
D) -40

Question 61

Choose the one alternative that best completes the statement or answers the question Solve the equation.

--9c + 4 + 7c = -3c + 9

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

Question 62

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-4r + 3 = 23

A) { 5}
B) { 16}
C) { 2}
D) { 20}

Question 63

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-10n - 6 = 64

A) { 64}
B) { 7}
C) { 12}
D) { 60}

Question 64

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-10y + 2 = 1 + 3y

A)
B)
C)
D)

Question 65

Choose the one alternative that best completes the statement or answers the question Solve the equation.

--10 t + 5 = 9 + 8 t

A)
B)
C)
D)

Question 66

Choose the one alternative that best completes the statement or answers the question Solve the equation.

--5 b + 1 = 7 - 2 b + 9 b

A)
B)
C)
D)

Question 67

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-8x - ( 5x - 1) = 2

A)
B)
C)
D)

Question 68

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-4( 3x - 1) = 16

A)
B)
C)
D)

Question 69

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-3(x + 2) = ( 3x + 6)

A) {}
B) {all real numbers}
C) {0}
D) { 12]

Question 70

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-4(x + 5) - ( 4x + 20) = 0

A) {}
B) { 5}
C) {0}
D) {all real numbers}

Question 71

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-(y - 3) - (y + 8) = 9y

A)
B)
C)
D)

Question 72

Choose the one alternative that best completes the statement or answers the question Solve the equation.

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

A) 6
B) -6
C) 18
D) -18

Question 73

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-3(2z - 3) = 5(z + 3)

A) 6
B) -6
C) 24
D) 9

Question 74

Choose the one alternative that best completes the statement or answers the question Solve the equation.

--5(x - 6) - ( -6x + 7) = 9

A) x = - 22
B) - 14
C) x = 32
D) x = 14

Question 75

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-2(x + 6) = 3(x - 2)

A) x = -18
B) x = 6
C) 18
D) x = -6

Question 76

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-3(2x - 5) = 5(x + 2)

A) x = -5
B) 25
C) x = 5
D) x = -2

Question 77

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-4x + 2( 3x - 6) = 2 - 4x

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

Question 78

Choose the one alternative that best completes the statement or answers the question Solve the equation.

--4x + 7( -2x - 3) = -34 - 5x

A)
B)
C)
D)

Question 79

Choose the one alternative that best completes the statement or answers the question Solve the equation.

-3(x + 4) - ( 3x + 12) = 0

A) {}
B) {all real numbers}
C) { 4}
D) {0}

Question 80

Choose the one alternative that best completes the statement or answers the question Solve the equation.

- ( 6x - 12) = ( 8x - 4)

A) {-1}
B)
C) {1}
D) {-8}