Review Questions

1.Evaluate the given expression

(a) (b) (c) (d)

AnswerSolution
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2.Simplify the given expression

(a) (b) (c) (d)

AnswerSolution
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3.Factor if possible

(a) (5y+3)(5y-3) (b) (5y+9)(5y-1) (c)(25y+3)(y-3)

AnswerSolution
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4.Factor if possible

(a) (b) (c)

AnswerSolution
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5.Solve

12x-7x-4x+9 = 19

(a) x = 28 (b) x = 10 (c) x = -10 (d) x = 5

AnswerSolution
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6.Solve:

-7b +4(2b-3) = 16

(a)b = 28 (b) b = 4 (c) b = -28 (d) b = -4

AnswerSolution
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7.Solve:

(a)a = 50 (b)a=24 (c)a=10 (d)

AnswerSolution
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8.Solve:

5k - 3 > 2k + 9

(a)k>4 (b)k>2 (c)k<-4 (d)k>-4

AnswerSolution
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9.Solve:

0.2y < 0.8

(a)y<.4 (b)y<.04 (c) y<4 (d)y<.6

AnswerSolution
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10.Solve

(a) (b) (c) (d)x=-5

AnswerSolution
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11.Solve

 

(a)b=-9 (b) b=4 (c)b=9 (d)b=-27

AnswerSolution
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12.Simplify completely:

  1. (b) (c) (d)

 

AnswerSolution
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13.Simplify completely

(a) (b) (c) (d)

AnswerSolution
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14.Simplify completely

x

(a) (b) (c) (d)

AnswerSolution
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15.The ordered pair (-3, 4) lies in which quadrant of the cartesian coordinate system?

  1. quadrant I (b)quadrant II (c)quadrant III (d)quadrant IV
AnswerSolution
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16.Find the equation of the line with slope m=-3 and passing through the point (-1,5)

(a)y = -3x - 8 (b)y=-3x -2 (c)y=-3x+2 (d)y=3x+2

AnswerSolution
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17.Solve the following:

-

  1. x=-1, x=-9 (b)x=1, x=9 (c)x=9, x=0 (d)x=-3, x=3
AnswerSolution
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18. Solve the following:

A dieter lost 2 pounds in 3 weeks. If he continues to lose at this rate, how many weeks will it take him to lose 24 pounds?

(a)16 weeks (b)36 weeks (c)12 weeks (d)8 weeks

AnswerSolution
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19.    

a.          b.          c.          d.          e.  None of these

AnswerSolution
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20.    

a.          b.          c.          d.          e.  None of these

AnswerSolution
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21.    Convert to a decimal and round to the nearest hundreth.

a.  .11        b.  .10        c.  9.3        d.  9.33        e.  None of these

AnswerSolution
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22.    Convert to a percent.

a.  .1875%        b.  5.3%        c.  53.3%        d.  18.75%

e.  None of these

AnswerSolution
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23.    What is 7% of $1400?

a.  $20000        b.  $200        c.  $98        d.  $980        e.  None of these

AnswerSolution
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24.    The Number of students at a college increased from 6000 to 6400. About what percent increase is this?

a.  6.7%        b.  93.8%        c.  1.07%        d.  .067%        e.  None of these

AnswerSolution
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25.    A cars original cost was $11,000. Then it went on sale for 12% off. What was the sale price?

a.  $1320        b.  $9,680        c.  $12,320        d.  $10,988

e.  None of these

AnswerSolution
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26.    The sales tax rate is 5%. If I paid $30 in taxes for a stereo, what was the marked price of the stereo itself?

a.  $180        b.  $31.50        c.  $150        d.  $600        e.  None of these

AnswerSolution
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27.    4(y - 3) = 42 - 2y. What does y equal?

a.  13.67        b.  7.5        c.  27        d.  .083        e.  None of these

AnswerSolution
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28.    The perimeter of the rectangle is 48 cm. The width is 8 cm more than the length. What is the length?

a.  4 cm        b.  16 cm        c.  12 cm        d.  8 cm        e.  None of these

AnswerSolution
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29.     What can x equal?

a.  26        b.  -6        c.  -4        d.  4        e.  None of these

AnswerSolution
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30.    Which graph below best represents the equation ?

a.          b.          c.          d.          e.  None of these

AnswerSolution
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31.     What does x equal?

a.  4.8        b.  15        c.  9.6        d.  24        e.  None of these

AnswerSolution
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Questions 32-34 refer to the following information:
    The World Alamanac lists all 4-year colleges in the United States with enrollments of 600 or more. This list is 13 pages long, with an average of 89 colleges on each page.

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32.    Which figure is the best estimate of the number of 4-year colleges listed?

a.  157        b.  8000        c.  54000        d.  50        e.  1000

AnswerSolution
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33.    Estimate the minimum number of students enrolled at the colleges listed.

a.  54,000        b.  9,000        c.  600,000        d.  5,400,000        e.  6,600,000

AnswerSolution
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34.    If you could compare the actual number of students attending 4-year colleges to your estimate for question 33, your estimate would turn out to be

a.  much higher        b.  a little higher        c.  much lower

d.  a little lower        e.  exactly right

AnswerSolution
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35.    If you graphed the two equations y = 2x + 1 and 4x - 2y = -2, you would get

a.  lines that intersect where y = -9         b.  parallel lines

c.  a single line         d.  lines that intersect where x = 5

e.  None of these

AnswerSolution
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36.    If the legs of a right triangle measure 2 and 7, the hypotenuse measures approximately

a.  7.28        b.  53        c.  14        d.  9.15        e.  None of these

AnswerSolution
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37.    A lawn mowing service charges $10 as a basic fee, plus $2 for every 500 square feet mowed. Express the total charges (C) as a function of square feet (m) mowed.

a.  C = 1000m + 10        b.  C = .004m + 10

c.  C = 250m + 10        d.  C = 10m + 250        e.  None of these

AnswerSolution
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38.    Completely factor the expression .

a.  (2)(x-5)        b.  10(x-1)        c.  10x(x-1)        d.  10(x-1)(x-1)

e.  None of these

AnswerSolution
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39.    If 4y =2x - 5, then x=

a.  4y + 5        b.  2y + 5        c.  2y - 2.5        d.  4y - 5        e.  None of these

AnswerSolution
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40.    If 2x - 3y = 17 and 3x + 2y = 19, then x must equal

a.  1        b.  -1        c.  7        d.  -7        e.  None of these

AnswerSolution
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41.    If of a number is 9 what is of the number?

a.  2.7        b.  27        c.  13.5        d.  1.2        e.  None of these

AnswerSolution
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42.    The average of 4 test scores is 90. If three of the scores are 92, 90, and 89, what is the other test score?

a.  90.3        b.  90        c.  89        d.  85        e.  None of these

AnswerSolution
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43.    The graph to the right describes some function y. If x = 4, estimate the corresponding y coordinate.

a.  2        b.  -2        c.  -4        d.  4        e.  None of these

AnswerSolution
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44.    If a = 5 and b = 6, then

a.  4.69        b.  121        c.  11        d.  7.81        e.  None of these

AnswerSolution
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45.    The world's population in 1991 was 5.88 billion people. This represented a 20% increase since 1981. What was the world's population in 1981?

a.  4.704 billion        b.  0.98 billion        c.  7.056 billion

d.  4.9 billion        e.  None of these

AnswerSolution
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46.    A line can be graphed from the equation x + 2y = 5. What is the equation of the line parallel to thes one that passes through the point (2, 4)?

a.  y = -.5x + 5        b.  2y = -x + 5        c.  y = -.5x + 2.5

d.  4y = 2x + 5        e.  None of these

AnswerSolution
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47.    If a = 4, b = 5, and c = 6, then , where the dot denotes multiplication.

a.  11.5        b.  -12.5        c.  4        d.          e.  None of these

AnswerSolution
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48.    Simplify the expression

a.          b.  0        c.          d.          e.  None of these

AnswerSolution
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