ch6 practice test
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Factor when possible.
1) 9x2 + 6xy - 8y2
A) (3x + 4y)(3x - 2y)
C) (3x - 4y)(3x + 2y)
1)
B) (9x + 4y)(x - 2y)
D) Prime
2) 15x3 - 2x2 - 8x
2)
A) x(5x - 4)(3x + 2)
C) x2 (5x - 4)(3x + 2)
Solve.
B) x(3x - 4)(5x + 2)
D) (5x2 - 4)(3x + 2)
3) 64x3 - 125
A) (64x - 5)(x 2 + 20x + 25)
C) (4x + 5)(16x2 - 20x + 25)
B) (4x - 5)(16x2 + 25)
D) (4x - 5)(16x2 + 20x + 25)
4) 135x3 + 320
A) 5(3x - 4)(9x2 + 12x + 16)
C) 5(3x + 4)(9x2 + 16)
B) 5(3x + 4)(9x2 - 12x + 16)
D) 5(27x3 + 64)
5) 11x4 - 1100x2
A) 11(x2 + 10x)(x2 - 10x)
C) 11(x2 + 10)(x2 - 10)
D) Prime
6) 48y2 + 140y + 100
A) 4(25y + 5)(y + 5)
C) 4(3y + 1)(4y + 25)
B) 4(3y + 5)(4y + 5)
D) Prime
7) 5x(x - 8) = (4x + 6)(x - 8)
A) x = 6
C) x = 8, 6
6)
D) x = -6
43
x
x =
8) x2 11
11
A) x = 0, 4
9) q(4q + 18) = 10
9
A) q = 0,
2
10) 3(x - 1) = 18x + 3(x2 + 3)
A) x = 3, 1, -4
Find all x-intercepts.
11) s(p) = 3p2 - 5p - 8
8
A) , 0 , (-1, 0)
3
4)
5)
B) 11x2(x + 10)(x - 10)
B) x = -8, -6
3)
7)
8)
B) x = 0, 43
C) x = 0, -4
9
B) q = 0, 2
1
C) q = , -5
2
D) q = 2, 5
B) x = 1, 4
C) x = 3, -1, 4
D) x = -1, -4
3
B) , 0 , (0, 0)
8
3
C) , 0 , (1, 0)
8
3
D) , 0 , (-1, 0)
8
1
D) x = -11, 4
9)
10)
11)
12) f(x) = x 3 + 8x2 - x - 8
A) (64, 0)
C) (1, 0), (- 8, 0), (8, 0)
12)
B) (-1, 0), (1, 0), (- 8, 0)
D) (- 8, 0), (8, 0)
Solve the problem.
13) Let f(x) = -2x2 - 6x + 9. Find f(-4).
A) f(-4) = -47
B) f(-4) = 65
14) Let f(x) = x2 + 5x - 53. Find x when f(x) = -3.
A) x = 5, 4
B) x = -11, 4
C) f(-4) = 1
D) f(-4) = 17
C) x = -11, -10
D) x = 5, -10
Use the graph to solve the equation.
1
3
15) Solve: x 2 + 2x + = 4
2
2
14)
15)
y=
A) x = 4 or 6
13)
1 2
3
x + 2x +
2
2
B) x = -5 or 1
C) x = -4 or 2
D) x = -6 or 0
Solve the problem.
16) The net income y (in millions of dollars) of Pet Products Unlimited from 1997 to 1999 is given by
the equation y = 9x2 + 15x + 52, where x represents the number of years after 1997. Assume this
16)
trend continues and predict the year in which Pet Products Unlimited's net income will be $256
million.
A) 2001
B) 2000
C) 2003
D) 2002
17) An object is thrown upward from the top of a 160-foot building with an initial velocity of 48 feet
per second. The height h of the object after t seconds is given by the quadratic equation
h = -16t2 + 48t + 160. When will the object hit the ground?
17)
18) The side of a square equals the length of a rectangle. The width of the rectangle is 4 centimeters
longer than its length. The sum of the areas of the square and the rectangle is 160 square
centimeters. Find the side of the square.
A) 2 cm
B) 64 cm
C) 8 cm
D) 10 cm
18)
A) 2 sec
B) 160 sec
C) -2 sec
2
D) 5 sec
19) Kara is making a box by cutting out 3-in.-by-3-in. squares from a square piece of cardboard and
folding the edges to make a 3-inch-high box. What size of cardboard does Kara need to make a
3-inch-high box with a volume of 48 cubic inches?
A) 4 in. by 4 in.
B) 10 in. by 10 in.
C) 22 in. by 22 in.
D) 7 in. by 7 in.
19)
20) The outside dimensions of a picture frame are 28 cm and 39 cm. The area of the picture inside the
frame is 672 square centimeters. Find the width of the frame.
20)
39 cm
28 cm
A) 7 cm
B) 3.5 cm
C) 1.75 cm
3
D) 14 cm
Answer Key
Testname: CH6TEST
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A
A
D
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B
A
D
C
B
B
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