Questions

1) Simplify the expression by first applying the distributive property, and then collecting like terms. What is the simplified expression?

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2) Solve the equation for m.

A) m = –11.5

B) m = 6

C) m = –6

D) m = –9 1/3

3) Solve the absolute value equation for x by isolating the absolute value term first.

A) x = 1 or x = –1

B) x = 1 or x = 4

C) x = 4 or x = –4

D) x = 4 or x = –1

4) Apply the distributive property and solve the equation for x: 5(2x – 6) = 7x – 3.

A) x = –9

B) x = 9

C) x = 11

D) There is no solution.

5) Two trains leave from the same station at the same time and travel in opposite directions. One train travels at an average rate of 60 MPH, the other at 70 MPH. In how many hours will they be 455 miles apart? Create a chart to organize the information, apply the basic formula d = rt, and then solve.

A) 2.5 hours

B) 3 hours

C) 3.5 hours

D) 4 hours

6) Solve the absolute value inequality for x.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

7) Give the domain of h = {(–1, 4), (2, 7), (3, 7)} and state if h is a function.

A) The domain is {4, 7}, and h is a function.

B) The domain is {4, 7}, and h is not a function.

C) The domain is {–1, 2, 3}, and h is not a function.

D) The domain is {–1, 2, 3}, and h is a function.

8) Evaluate the function for g (–2).

A) g (–2) = 11

B) g (–2) = 19

C) g (–2) = 5

D) g (–2) = 23

9) Determine the slope and y-intercept of the function, and then graph. Select the correct graph.

A) Graph A

B) Graph B

C) Graph C

D) Graph D

10) Find an equation in slope-intercept form of a line that passes through the points (6, 2) and (–3, 5). First determine the slope, and then use either of the points to find the equation.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

11) Put the given equation in slope-intercept form, and then find an equation for a parallel line passing through the point (–10, 7). Recall that the slopes of parallel lines are the same.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

12) If x = 36 when y = 40 and x varies directly as y, what is x when y = 80?

A) x = 82

B) x = 62

C) x = 72

D) x = 77

13) What is the slope of a line passing through (1, 4) and (3, 8)?

A) Choice A

B) Choice B

C) Choice C

D) Choice D

14) Determine the slope and y-intercept of –4y + 2x = 8 by putting the equation in slope-intercept form, and then graph. Select the correct graph.

A) Graph A

B) Graph B

C) Graph C

D) Graph D

15) Graph the absolute-value function by making a table and plotting points for the function. Select the correct graph. Plot points located near the vertex (h, k). Recall that the general form for an absolute-value equation is y = a|x – h| + k.

A) Graph A

B) Graph B

C) Graph C

D) Graph D

16) Graph the given inequality. Select the correct graph.

A) Graph A

B) Graph B

C) Graph C

D) Graph D

17) Graph both inequalities and look for the area where the two graphs intersect? Which graph shows the solution (intersection) of the two given inequalities? The dark area (purple) represents the intersection of the two graphs.

A) Graph A

B) Graph B

C) Graph C

D) Graph D

18) Evaluate.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

19) Evaluate.

A) 84.5

B) 13

C) –16

D) 23

20) Simplify.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

21) Simplify.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

22) For the given functions, find ( f – g )(x).

A) Choice A

B) Choice B

C) Choice C

D) Choice D

23) What is the inverse of the given function?

A) Choice A

B) Choice B

C) Choice C

D) Choice D

24) Find the compositions for the given functions.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

25) You want to eliminate y by addition in the system of equations. If you multiply both sides of the top equation by 3, by which number would you multiply both sides of the bottom equation?

A) –2

B) 2

C) –4

D) 4

26) What is the sum of the given matrices?

A) Choice A

B) Choice B

C) Choice C

D) Choice D

27) Find the difference.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

28) Factor the quadratic expression.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

29) Factor the quadratic expression. First factor out the common factor, and then factor again.

A) 4(n – 3)(n + 3)

B) (4n – 6)(4n + 6)

C) 4(n – 6)(n + 6)

D) 4(n – 3)(n – 3)

30) Factor the quadratic expression.

A) (3x – 2)(x – 5)

B) (3x + 5)(x – 2)

C) (3x + 2)(x + 5)

D) (3x – 5)(x + 2)

31) What are the coordinates of the vertex of the function and does the function open upward or downward?

A) (–3, –4); opens upward

B) (3, –4); opens upward

C) (–3, 4); opens downward

D) (3, 4); opens downward

32) Simplify. Rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

33) Solve for x by completing the square.

A) Choice A

B) Choice B

C) Choice C

D) Choice D

34) Solve for x by using the quadratic formula.

A) x = –2 1/2 or x = 1

B) x = –5 or x = 1

C) x = –1 or x = 2 1/2

D) x = –1 or x = 5

35) The height (h) of a baseball t seconds after being hit is given by the function below.
How long does it take the ball to reach its maximum height and what is the maximum height? (Hint: What point is the maximum point in a quadratic function?)