Multiple
Choice
Identify the letter of the choice that best completes the statement or answers the
question.
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1.
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Which graph represents the
following system of equations?
y = 3x + 3
y = –2x – 3
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2.
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What is the solution of the
system of equations?
y = 4x + 8
y = 2x – 10 a. | (–28, –9) | b. | (–9, –28) | c. | (–1,
–12) | d. | (3, 20) | | | | | | | | |
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Graph each system. Tell
whether the system has no solution, one solution, or infinitely many
solutions.
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3.
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y = –5x +
5
y =
–5x – 3 a. | no solutions | b. | one solution | c. | infinitely many
solutions | | |
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4.
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Use substitution to solve the
following system of equations.
d + e – f = 7
e = f + d +
1
f =
2e – 6 a. | d = 4, e = 1, f =
–2 | c. | d = –2, e = 2, f = 3 | b. | d = 1, e = 4, f = –2 | d. | d = 3, e = 2, f =
–2 | | | | |
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Solve the system using
elimination.
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5.
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6x + 3y =
–12
6x + 2y = –4 a. | (10,
–16) | b. | (2, –8) | c. | (–2, 8) | d. | (–10, 16) | | | | | | | | |
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6.
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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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Simplify the
difference.
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7.
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(–7x –
5x4 + 5) – (–7x4 – 5 –
9x) a. | 2x4 + 2x + 8 | c. | –14x4 –
10x + 10 | b. | –14x4 + 10x
+ 10 | d. | 2x4 + 2x + 10 | | | | |
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8.
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Simplify the
sum.
(6u3 + 3u2 + 7) + (4u3 –
3u + 3) a. | 2u3 + 3u2 – 3u +
10 | c. | 10u3 + 3u2 – 3u +
10 | b. | 2u3 – 3u2 + 3u
– 10 | d. | 10 – 3u + 3u2 + 10
u3 | | | | |
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Simplify the
product.
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9.
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2n(n2
+ 3n + 4) a. | 2n3 + 6n2 +
8n | c. | 2n3 + 6n + 8 | b. | 2n3 + 3n + 4 | d. | n2 + 5n +
4 | | | | |
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Factor the
polynomial.
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10.
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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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11.
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Find the GCF of the terms of
the polynomial.
44x4 + 42x6
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Simplify the product using
FOIL.
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12.
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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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Complete.
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13.
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z2 +
3z – 180 = (z – 12)(z + )
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Factor the
expression.
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14.
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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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15.
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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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Simplify the radical
expression.
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16.
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17.
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Simplify the radical
expression by rationalizing the denominator.
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18.
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Simplify the
expression.
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19.
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20.
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(7 +  )(7 –  )
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21.
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22.
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Solve the equation. Check
your solution.
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23.
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24.
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25.
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The formula  can be used to find the velocity v in feet per second of an object that has fallen
h feet. Find the velocity of an object that has fallen 30 feet. Round your answer to the
nearest hundredth. a. | 240 feet per
second | c. | 960 feet per second | b. | 350.54 feet per
second | d. | 43.82 feet per second | | | | |
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