Deck 2: Linear Equations and Inequalities

Question 1

Evaluate the expression when is -8.

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Answer 1

Question 2

Evaluate the expression when is 6.

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Answer 2

Question 3

Simplify the expression.

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E)

Answer 3

Question 4

Evaluate the expression when is -3 and is 6.

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Question 5

Simplify the expression.

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E)

Question 6

Evaluate the expression when is -5 and is 8.

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Question 7

Fill in the table below to find the sequences formed by substituting the first four counting numbers into the expressions and .

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Question 8

Simplify the expression.

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Question 9

Simplify the expression.

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Question 10

Simplify the expression.

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Question 11

Evaluate the expression when is -3 and is 5.

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Question 12

If the temperature on the ground is then the temperature at feet above the ground can be found from the expression Find the temperature at an altitude of 10,000 feet.

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Question 13

Find the first four numbers of the sequence by substituting the counting numbers, in order, into the following expression.

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Question 14

Evaluate the expression when is 5.

Question 15

Simplify the expression.

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Question 16

Simplify the expression.

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Question 17

Simplify the expression.

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Question 18

Simplify the expression.

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E)

Question 19

Evaluate the expression when is 3.

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Question 20

Evaluate the expression when is -3 and y is 5.

Question 21

Find the solution for the equation.

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Question 22

Find the solution for the equation.

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E)

Question 23

Solve the equation.

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E)

Question 24

Simplify the expression.

Question 25

Solve the equation.

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Question 26

If the temperature on the ground is then the temperature at feet above the ground can be found from the expression Find the temperature at an altitude of 12,000 feet. The temperature is __________

Question 27

The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is whereas the angle of elevation to the ceiling above the door is . Use this diagram to write an equation involving and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling.

A)
B)
C)
D)
E)

Question 28

Simplify the expression.

Question 29

Simplify the expression.

Question 30

Find the first four numbers of the sequence by substituting the counting numbers, in order, into the following expression. The first term is __________. The second term is __________. The third term is __________. The fourth term is __________.

Question 31

Simplify the expression.

Question 32

Simplify the expression.

Question 33

Evaluate the expression when is -4.

Question 34

Simplify the expression.

Question 35

Simplify the expression.

Question 36

Simplify the expression.

Question 37

Evaluate the expression when is -3 and y is 6.

Question 38

Evaluate the expression when is -4 and is 5.

Question 39

Evaluate the expression when is 4.

Question 40

Simplify the expression.

Question 41

Solve the equation.

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Question 42

Find the solution for the equation. __________

Question 43

Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation. __________

Question 44

Find the solution for the equation.

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B)
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E)

Question 45

Simplify both sides of the equation as much as possible, and then solve.

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E)

Question 46

Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

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D)
E)

Question 47

Solve the equation.

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Question 48

Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

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D)
E)

Question 49

Simplify both sides of the equation as much as possible, and then solve.

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Question 50

Simplify both sides of the equation as much as possible, and then solve.

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Question 51

Solve the equation.

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Question 52

Find the solution for the equation. __________

Question 53

Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

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E)

Question 54

Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation. __________

Question 55

Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality.

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D)
E)

Question 56

Solve the equation.

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Question 57

Solve the equation.

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Question 58

Solve the equation.

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Question 59

Find the solution for the equation. __________

Question 60

Find the solution for the equation. __________

Question 61

Solve the equation.

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Question 62

Find the solution for the equation.

Question 63

Find the solution for the equation. __________

Question 64

Find the solution for the equation.

Question 65

Simplify both sides of the equation as much as possible, and then solve.

Question 66

Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation. __________

Question 67

Find the solution for the equation.

Question 68

Solve the equation.

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E)undefined

Question 69

Find the solution for the equation. __________

Question 70

Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation. __________

Question 71

Solve the equation.

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Question 72

Simplify both sides of the equation as much as possible, and then solve. __________

Question 73

Find the solution for the equation. __________

Question 74

Solve the equation.

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D)
E)

Question 75

The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is whereas the angle of elevation to the ceiling above the door is . Use this diagram to write an equation involving and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling. Equation: __________ Solution: x = __________ degrees

Question 76

Solve.

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E)

Question 77

Solve the following equation.

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Question 78

Find the solution for the equation. __________

Question 79

Solve the equation by multiplying both sides by -1.

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Question 80

Simplify both sides of the equation as much as possible, and then solve. __________