Questions

1) Simplify using the Order of Operations.

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2) Simplify using the Order of Operations.

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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.

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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: 4x + 4 = 6x – 2

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

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20) 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

21) Solve the inequality.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

22) Solve the inequality.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

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

A) Graph A

B) Graph B

C) Graph C

D) Graph D

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

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25)

The measured dimensions of a rectangular room are given to the nearest whole unit. Calculate the measured area, the minimum area, and the maximum area. Then, use the relative error formula to find the greatest percent error.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

26) Which of the following could be used to change 5 miles / 3000 seconds to feet per hour? (Hint: Cancel the units.)

A) Choice A

B) Choice B

C) Choice C

D) Choice D

27) Find the product.

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28) Solve for b.

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29) Solve for r: 2.3 – 7r = –25.7

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30) Solve for x.

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31) Simplify using the laws of exponents.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

32) Simplify.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

33) 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.

34) What is the degree of the polynomial?

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35) What is the degree of the polynomial?

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36) Which polynomial is in descending order in terms of x?

A) Choice A

B) Choice B

C) Choice C

D) Choice D

37) Find the sum of the polynomials.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

38) Find the difference of the polynomials.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

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

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40) What is the rate of change for the data shown in the chart below?

A) $13.39/hour

B) $12.50/hour

C) $11.25/hour

D) $11.93/hour

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

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42) 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.

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

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

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45) Answer the following equations about the given equation:
          (a) In what form is the equation expressed?
          (b) What is the slope of the graph of the equation?
          (c) What is the y-intercept of the graph of the equation?

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46) Given the linear parent function y = x, match the following translations with the correct function. Choose the combination of letters that fill in the blanks as they occur from the first function to the last function.

            Statement A: The graph will go through quadrants II and IV.
            Statement B: The slope of the graph is steeper.
            Statement C: The graph will move down 2 places on the y-axis.
            Statement D: The graph will move up 2 places on the y-axis.

            Function 1: y = 2x                  This function matches Statement __.
            Function 2: y = x + 2              This equation matches Statement __.
            Function 3: y = –2x                This function matches Statement __.
            Function 4: y = x – 2              This function matches Statement __.

A) A, B, C, D

B) B, D, A, C

C) C, A, D, B

D) D, C, B, A

47) State the equation for the line described below.

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

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49) State the equation of a line that is parallel to x + 3y = 6 and passes through the point (6, –2).

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50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (–4, –3).

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