Questions

1) Evaluate using order of operations.

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2)

Evaluate if x = 3, y = 4, and z = 5.

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3)

Write an algebraic expression for “twice z decreased by 5.”

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4)

Name the property shown below.

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5)

Apply the distributive property to the expression, and then simplify.

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6)

Apply the distributive property to the expression, and then simplify.

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7)

Solve for “b.”

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8)

Solve. Select the correct answer.

A) <

B) >

C) =

9)

Solve. Select the correct answer.

A) <

B) >

C) =

10)

Simplify: –31 + 19 + (–15) + (–6)

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11)

Simplify: 5m + 29m + (–15m)

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12)

Solve: 3 + 2(y + 1) = 6 + 3y

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13)

Solve for “x.”

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14)

Simplify.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

15)

Simplify the expression: 4(m + 2n) – 8n

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16)

What is the degree of the polynomial expression?

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17)

Find the slope of the line containing the points (2, 23) and (8, –5).

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18)

For the values “y = 84” and “x = 12,” “y varies directly as x.” Find the constant of variation and write an equation of direct variation.

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19)

What is the x-intercept and the y-intercept of the line y = –2x + 6?

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20)

Write an equation, in slope-intercept form, for the line that fits the description below.

Hint: First, use the formula y – y¹ = m(x – x¹) where point given is (x¹, y¹) and the slope is m. Then, solve for y so the answer is in form y = mx + b.

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21)

Write an equation, in slope-intercept form, for the line that fits the description below.

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22)

Solve the system of equations using elimination.

Hint: Multiply the bottom equation by 2 and add the two equations together to eliminate x.

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23)

Find the product.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

24)

Find the quotient.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

25)

What is the degree of the polynomial expression?

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26)

Multiply and simplify the expression.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

27)

Multiply and simplify the expression.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

28)

Factor the expression completely.

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29)

Factor the expression completely.

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30)

In the quadratic equation shown below, identify the vertex, the axis of symmetry, and the direction of opening.

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31)

What is the vertex of the quadratic equation?

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32)

Solve the quadratic equation by factoring.

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33)

Solve the quadratic equation.

Hint: Divide through by 6 first.

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34)

Solve the equation by using the quadratic formula.

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35)

What is the domain for the expression shown below?

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36)

Simplify.

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37)

Multiply.

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38)

Find the sum.

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39)

Solve for “y.”

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40)

Solve for “x.”

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