Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find a solution to the following system of equations.   a. | (2, 5) | b. | (–2, 1) | c. | (6, 5) | d. | (0,
2) |
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2.
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Which graph represents the following system of equations?
y =
2x + 3
y = –x – 3
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3.
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What is the solution of the system of equations?
y = –3x
+ 8
y = –x – 10
a. | (1, –11) | b. | (–19, 9) | c. | (9, –19) | d. | (–4.5,
21.5) |
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Solve the system of equations using substitution.
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4.
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3x + 2y = 7
y = –3x + 11
a. | (6, –3) | b. | (6, –7) | c. |  | d. | (5, –4) |
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Solve the system using elimination.
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5.
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2x – 2y = –8
x + 2y = –1
a. | (–14, 1) | b. | (1, 5) | c. | (–3, 1) | d. | (0,
4) |
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6.
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By what number should you multiply the first equation to solve using
elimination?
–x – 2y = 8
–3x + 3y = 6
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Graph the inequality.
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7.
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8.
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9.
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Write the following inequality in slope-intercept form. 
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10.
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Find a solution of the linear inequality.  a. | (3, 4) | b. | (2, 1) | c. | (3, 0) | d. | (1,
1) |
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Simplify the expression.
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11.
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12.
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13.
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a. |  | b. |  | c. | 10 | d. | 25 |
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14.
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15.
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16.
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a. | –12 | b. | 36 | c. | 0 | d. |  |
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17.
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18.
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19.
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20.
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21.
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22.
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23.
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24.
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25.
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26.
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27.
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28.
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29.
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30.
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31.
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32.
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33.
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34.
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Find the common ratio of the sequence.
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35.
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2, 14, 98, 686, . . .
a. | 12 | b. | 7 | c. | –12 | d. |  |
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36.
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Find the next three terms of the sequence 320, –160, 80, –40,
. . .
a. | 20, –10, 5 | c. | –20, 10, –5 | b. | –40, 20,
–10 | d. | –520,
–460, –520 |
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Evaluate the function rule for the given value.
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37.
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 for x = 5
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38.
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Write the polynomial in standard form. Then name the polynomial based on its
degree and number of terms.
2 – 11x2 – 8x +
6x2
a. | –5x2 – 8x + 2; quadratic
trinomial | c. | –6x2 – 8x – 2; cubic
polynomial | b. | 5x2 – 8x – 2; quadratic
trinomial | d. | 6x2 – 8x + 2; cubic
trinomial |
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Find the degree of the monomial.
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39.
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4x8y6
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40.
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Match the expression with its name.
6x2 – 5x +
3
a. | quadratic trinomial | c. | cubic monomial | b. | not a polynomial | d. | fourth-degree
binomial |
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Simplify the difference.
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41.
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(8w2 – 3w – 6) –
(6w2 + 2w – 3)
a. | 14w2 + 5w + 3 | c. | 14w2 –
1w – 9 | b. | 2w2 – 1w –
9 | d. | 2w2
– 5w – 3 |
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42.
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Simplify the sum.
(2u3 + 2u2 + 5) +
(2u3 – 7u + 6)
a. | 0u3 + 2u2 – 7u + 11 | c. | 11 –
7u + 2u2 + 4 u3 | b. | 4u3 + 2u2 – 7u +
11 | d. | 0u3
– 7u2 + 2u – 11 |
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Simplify the product.
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43.
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3p4(4p4 + 7p3 + 4p
+ 1)
a. | 12p8 + 3p7 + 4p5 +
p4 | c. | 7p8 + 10p7 + 7p5 +
4p4 | b. | 12p8 + 21p7
+ 12p5 + 3p4 | d. | 12p16 +
21p12 + 15p4 |
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Factor the polynomial.
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44.
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a. | 2x(x2 + 2x + 4) | c. | x(2x2 +
4x + 8) | b. | 2x(x + 2)(x + 4) | d. | 2x3 + 4x2 +
8x |
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45.
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Find the GCF of the terms of the polynomial.
24x2 +
30x5
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Simplify the product using FOIL.
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46.
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(3x – 7)(3x – 5)
a. | 9x2 + 6x + 35 | c. | 9x2 –
36x – 35 | b. | 9x2 + 36x +
35 | d. | 9x2
– 36x + 35 |
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Find the square.
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47.
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Find the product.
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48.
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(j + 7)(j – 7)
a. | j2 + 14j – 49 | c. | j2 + 14j
– 49 | b. | j2 – 14j – 49 | d. | j2 –
49 |
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Factor the expression.
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49.
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w2 + 18w + 77
a. | (w – 7)(w + 11) | c. | (w + 7)(w +
11) | b. | (w – 7)(w – 11) | d. | (w + 1)(w +
77) |
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50.
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12d2 + 4d – 1
a. | (6d + 1)(2d + 1) | c. | (6d – 1)(2d +
1) | b. | (6d – 1)(2d – 1) | d. | (6d + 1)(2d –
1) |
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51.
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r2 – 49
a. | (r – 7)(r + 7) | c. | (r – 7)(r
– 7) | b. | (r + 7)(r + 7) | d. | (r – 7)(r +
9) |
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52.
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3x3 + 3x2 + x + 1
a. | x(3x2 + x + 1) | c. | 3x2(x +
1) | b. | (x + 3)(3x2 – 1) | d. | (x + 1)(3x2 +
1) |
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53.
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Identify the vertex of the graph. Tell whether it is a minimum or
maximum.  a. | (0, 2); maximum | c. | (0, 2); minimum | b. | (2, 0); minimum | d. | (2, 0); maximum |
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54.
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A parabola ________ has an axis of symmetry.
a. | always | b. | sometimes | c. | never |
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Solve the equation using the zero-product property.
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55.
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a. | x = –2 or x = 4 | c. | x = –3 or x =
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or x =  | d. | x = 3 or x =  |
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Solve the equation by factoring.
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56.
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a. | z = –7 or z = –3 | c. | z = 7 or z =
3 | b. | z = 7 or z = –3 | d. | z = –7 or z =
3 |
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Simplify the radical expression.
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57.
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58.
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59.
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Simplify the radical expression by rationalizing the denominator.
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60.
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