Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Perform the indicated operations.
1) (3x - 4) - (6x - 18)
A) 9x + 14
Divide.
2)
B) 9x - 22
C) -3x - 22
36x 9 + 12x4 - 54x 2
6x 2
2)
A) -36x 7 + 12x 2 + 54
C) 36x 7 + 12x 2 - 54
Solve.
D) -3x + 14
1)
B) 6x 9 + 2x 4 - 9x 2
D) 6x 7 + 2x 2 - 9
3) The dimensions of the sides of the following figures are labeled. Create a polynomial that describes
the sum of the area of these figures.
3)
3y
3x
A)
1
xy + 3x 2 + 3y2
2
B)
1
xy + x 2 + y2
2
C)
1
xy + 4x 2 + 4y2
2
D) 3x 2 y2
Simplify. Leave your answer in exponent form.
4) (9 9 )7
1
A)
9 63
Write in scientific notation.
5) 57,000,000
A) 5.7 × 10-6
B) 916
C) 963
B) 5.7 × 107
Perform the indicated operations.
6) (6x 2 - 18x + 12) - (3x 2 + 3x - 10)
A) 3x 2 - 15x + 2
B) 3x 2 - 21x + 22
1
1
D)
9 16
4)
5)
C) 5.7 × 106
D) 5.7 × 10-7
C) 3x 2 - 21x + 2
D) 4x 12
6)
Solve.
7) An object is at rest at t = 0 seconds and then begins accelerating at a constant 6 feet per second per
second. The distance the object travels in the first t seconds is given by the polynomial 3t2 . Find
the distance the object travels in the first 4 seconds.
A) 48 feet
B) 16 feet
C) 24 feet
D) 12 feet
Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
240,000,000,000,000
8)
0.00000004
A) 6 × 1020
B) 20 × 1021
C) 20 × 1020
y9
x 7 z5
B)
x 7 z9
y5
C)
Perform the indicated operations.
10) (12x 9 + 10x 6 - 9x 3 + 11) - (3x 9 - 8x 5 + 8x 3 - 13)
A) 9x 9 + 10x6 + 8x 5 - 17x 3 + 24
z5
x 7 y9
D)
2
9)
x 7 z5
y9
B) -9x 9 + 10x 6 - 8x 5 - 17x 3 + 24
D) -9x 9 + 10x 6 + 8x 5 - 17x 3 + 24
C) 9x 9 + 10x6 - 8x 5 - 17x 3 + 24
8)
D) 6 × 1021
Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
x 7 y-9
9)
z -5
A)
7)
10)