Questions

1) Simplify using the Order of Operations.

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2)

Simplify using the Order of Operations.

Hint: Start with the inner most parenthesis.

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3)

Evaluate the given problem for a = 5, b = 3, and c = 4.

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4)

In the expression, 5x + 3y – 10, what is the coefficient of x and what is the constant term?

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5)

Translate the following phrase into an algebraic expression: five less than twice x.

Hint: The phrase “less than” changes the order they are written.

Example: 6 less than y would be written y – 6

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6)

Name the property that is illustrated.

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7)

Which set of numbers are closed under addition?

A) Whole numbers

B) Integers

C) Rational numbers

D) All of the above

8)

Simplify by collecting like terms: 4xy + 3x + 4y + xy

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9)

Apply the distributive property and collect like terms: w + 8w + 4(w + 8)

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10)

Apply the distributive property and collect like terms: 5(3m – 2n) –2(m – 2n)

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11)

Solve for y: 15 = y – 7

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12)

Solve for x: 4x = 420

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13)

In solving the following literal equation for x, what would be the first step?

A) Divide by c

B) Multiply by x

C) Add “by” to both sides

D) Subtract “by” from both sides

14)

Calculate: –27 + (–32) – 61

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15)

Simplify.

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16)

In attempt to satisfy customers, a local cable company decided to charge a monthly fee of $25, and then an additional fee of $5.24 per channel (x) that each customer wants to view. Which expression would represent this plan?

A) 25x + 5.24

B) 25 + 5.24x

C) 30.24x

D) 5.24 + 25x

17)

Solve for p: 6p – 9 = 33

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18)

Solve for x: 5x + 3(x + 6) = 66

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19)

It is time for “Back to School” shopping. Mary purchases 2 pens at $1.19 each and 5 folders. The purchase totals $3.03. Which equation can be used to find the cost of one folder?

A) 2(1.19) + 5x = 3.03

B) 5(1.19) + 2x = 3.03

C) 2(x) + 7(1.19) = 3.03

D) 2x + 5x = 3.03

20)

Solve the inequality.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

21)

Solve the inequality.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

22)

Solve the inequality, and then choose the correct graph for the solution.

A) Graph A

B) Graph B

C) Graph C

D) Graph D

23)

Describe the graph (on a number line) of the solution to the following inequality:

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24)

Find the product.

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25)

Solve for b.

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26)

Solve for r: 2.3 – 7r = –25.7

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27)

Simplify using the laws of exponents.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

28)

Which statement is true about the polynomial?

A) The polynomial is a monomial.

B) The polynomial is a binomial.

C) The polynomial is a trinomial.

D) The expression is not a polynomial.

29)

What is the degree of the polynomial?

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30)

What is the degree of the polynomial?

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31)

Which polynomial is in descending order in terms of x?

A) Choice A

B) Choice B

C) Choice C

D) Choice D

32)

Find the sum of the polynomials.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

33)

Find the difference of the polynomials.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

34)

What is the domain? What is the range? Is the relation a function?

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35)

Determine the slope of the line that passes through the given points.

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36)

Which of the statements below best describe the slope of a line?

A) The slope of a line is the steepness of the line.

B) The slope of a line is a rate of change.

C) The slope of a line is the ratio of the vertical rise to the horizontal run.

D) All of the above statements are true.

37)

Describe the slope of a horizontal line and give an example of an equation of a horizontal line.

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38)

Describe the slope of a vertical line and give an example of an equation of a vertical line.

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39)

State the equation for the line described below.

Hint : y = mx + b

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40)

State the equation of the line that passes through the points (–7, 5) and (–12, 4).

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