Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Square the binomial.
2
3
1)
(5x - 10)
A)
25x6 - 100x3 + 100
C)
25x6 + 100x3 - 100
B) 25x6
D) 25x6
+ 100
- 100
2) A stone is thrown into a calm pond, and a circular ripple spreads outward from the
2)
center. After 4 seconds, the circle has a radius of 4 feet. What is the area at that time?
Use 3.14 for .
A) 50.24 square feet
B) 16 square feet
C) 200.96 square feet
D) 157.75 square feet
3) Multiply the conjugates.
3)
(6x - 4)(6x + 4)
A)
36x2 + 48x - 16
C)
36x2 - 48x + 16
B) 36x2
D) 36x2
+ 16
- 16
4) Simplify.
5-3
A)
4)
B)
2
1
125
C)
-15
D)
-125
5) Simplify the expression.
53
5)
5x
A)
5x8
B) 5x15
C)
125x8
D)
125x15
6) Multiply the expressions.
(10y4)(-3y2 )
A)
-7y8
6)
B) -7y6
C)
-30y8
D)
-30y6
7) Simplify. Write your answer with positive exponents only.
-4 4 -5
7)
x x
x2
A) x26
B)
1
C) x22
x22
1
D)
1
x26
8) Write the number in standard form.
8)
The probability of winning the Powerball, multistate lottery when purchasing one
ticket is about 8.297×10-9.
A) 0.000000008297
B) -746.73
C) 0.0000000008297
D) 8297000000
9) Evaluate the expression for s = 10, t = -2.
s2 - 2t3
A)
9)
B) 84
92
C)
D)
116
108
10) Simplify.
-17y0
A)
10)
B) -1
-17
C)
D)
1
0
11) Divide the polynomials.
(3x3 - 2x + 5) ÷ (3x2 + 9x + 5)
A) x - 3 +
C) x + 7 +
11)
20x + 20
3x2
B) x + 11 +
+ 9x + 5
1
D) x + 3 +
3x2 + 9x + 5
1
3x2
+ 9x + 5
7
3x2 + 9x + 5
12) If the perimeter of the figure below can be represented by 2w 2 + 3w + 5, find a
12)
polynomial that represents the length of the missing side.
A)
2w2 - 10
B) w 2
C)
+ 5w + 10
w2 + w
D)
w2 + w - 10
13) Simplify. Write your answer in exponent form.
29
13)
z
A) z11
B) z18
C) z-7
D) z7
14) Simplify.
(-34)0
A)
0
14)
B) 1
C)
2
34
D)
-34
15) Multiply the conjugates.
15)
(5y + 3.7)(5y - 3.7)
A)
25y2 - 18.5y - 13.69
C)
25y2 - 37y - 13.69
B) 25y2
D) 25y2
- 13.69
+ 13.69
16) Use the commutative and associative properties of real numbers and the properties of
exponents to simplify the expression.
(-6y5 x2)(2x2 y6 )
A) -12y7x8
B) -12x4 y11
C)
12y7x8
D)
16)
-12x7y8
17) Write the number in scientific notation.
17)
A baseball player's annual salary is 8,306,000 dollars.
A)
8.306 × 105
B) 8306
× 103
C)
8.306 × 106
D)
8306 × 107
18) Simplify the expression. Write the answer in exponent form.
2 3 2
9
A)
18)
9
23
93
B)
23
9
C)
4 3
81
D)
24
9
19) Write the expression using exponents.
19)
41 41 41 41 41 41
A) 641
B) 66
C)
416
D)
6 41
20) Simplify the expression. Write your answer with positive exponents only.
x2
20)
x-5
A) x7
B) -x3
C)
1
x3
D) x3
21) Simplify.
x0
A)
1
21)
B) 0
C)
3
1
x
D)
x
22) Simplify the expression. Write your answer with positive exponents only.
x2y17
22)
y25x12
A) x14y42
B) x10
- y8
C) x14
- y42
D)
1
x10y8
23) Categorize the expression as a monomial, a binomial, or a trinomial.
10x4 - 20x7
A)
B) binomial
trinomial
C)
23)
monomial
24) Use the commutative and associative properties of real numbers and the properties of
24)
exponents to simplify the expression.
5 2 2 5
xy (x y )
3
5 3 3
x y
12
A)
25y7
36x
B)
y4 x6
4
C)
25y4
36
D)
4y4
25) Write the polynomial in descending order.
-18x - 9x3 + 11x2 + 3x5 + 1
A)
-18x + 11x2 - 9x3 + 3x5 + 1
C)
3x5 - 9x3 + 11x2 - 18x + 1
25)
18x + 11x2 - 9x3 + 3x5
D) 11x2 + 3x5 + 1 - 9x3 - 18x
B) 1 -
26) Simplify the expression. Write the answer in exponent form.
x5 x8
26)
x10
A)
1
x3
B) x16
C) x3
27) Divide the polynomials.
(4x3 - 14x2 - 34x + 20) ÷ (x - 5)
A) 4x2 - 6x + 4
C)
D) x30
27)
B) -10x2 - 34x D) 4x2 + 9x - 8
4x2 + 6x - 4
4
28) Subtract the polynomials.
14ab2 - 11ab2
A)
-3a2 b4
28)
B) 3a2 b4
C)
4
-3ab2
D)
3ab2
29) Simplify the expression. Write your answer with positive exponents only.
4a8 b2
29)
28a-4 b-2
A)
a12
7
B)
a12b4
7
C)
a4
7
D)
a4 b4
7
30) Multiply the polynomials.
30)
(11t - s)(t + 5s)
A) 11t2 + 54st + 5s2
C)
B) 11t2
D) 11t2
11t2 + 54st - 5s2
+ 55st - 5s2
- 5s2
31) What is the coefficient of the third degree term in the polynomial below?
8x4 - 13x3 - 10x + 19
A)
3
B) 13
C)
D)
-13
31)
x
32) Multiply the expressions.
(-5x5 y3)(9x2 y5 )
A)
-45x7y8
32)
B) 4x7 y8
C)
-45x10y15
D)
4x10y15
33) Simplify the expression. Write your answer with positive exponents only.
x3 y5
33)
y11z12
A)
x3 y5
z12
B)
x3
C)
y6 z12
y6 z12
x3
D) x3 y5 z12
34) Add the polynomials.
-5ab2 + 13ab2
A)
-8ab2
34)
B) -8a2 b4
C)
8ab2
D)
8a2b4
35) Simplify the expression. Write your answer with positive exponents only.
3p-4q6 2p-5 q-3
A)
q3
6p9
B)
p20
C)
6q18
6q3
D)
p9
36) Multiply the polynomials.
(10z + 5)(z2 - 2z + 2)
A)
10z3 - 10z2 + 2
C)
10z3 - 15z2 + 10z + 10
35)
6p20
q18
36)
B) 10z3
D) 11z2
5
- 20z2 + 20z + 10
- 20z + 10
37) Find the volume of a spherical ball that is 5 in. in diameter. Use 3.14 for
your answer to the nearest cubic inch.
A) 65 in.3
B) 37 in.3
C) 523 in.3
38) Perform the indicated operations.
(18t4 - 5t2 + 8t) + (5t4 - 8t + 27) - (8t4 + t2 + 18)
A) 21t4 - 6t2 + 16t - 9
B) 11t4
C) 15t4 - 6t2 + 9
D) 31t4
and round
D) 49 in.3
38)
+9
- 6t2 + 45
39) Square the binomial.
(m + 10)2
A)
39)
m 2 + 20m + 100
C) m 2
B) m 2
D) m 2
+ 100
- 100
+ 10m + 100
40) Simplify the expression.
5
5
n6 n4
n6
40)
2
A) n12
B) n38
C) n238
D) n87
41) What is the degree of the polynomial?
3x5 y3 - 7x6 + 3y3
A)
37)
41)
B) 8
15
C)
D)
5
6
42) Simplify the expression. Write the answer in exponent form.
52 59
42)
58
A) 514
B) 53
C) 510
D)
43) Divide the polynomials.
t4 - 3t3 + 2t2 + 8t - 7
1
53
43)
4t
A)
t3 3 2
7
- t + 8t + 8 4 4
4
B)
C)
t3 - 3t3 + 2t2 + 8t - 7
4
D) 1 -
6
t3 3t2 t
7
+ +24
4
2
4t
32
7
t + 2t + 2 4
4t
44) Simplify the expression. Write the answer in exponent form.
t4 t3
A) t7
12
B) t2
44)
7
D) t2
C) t12
45) Write the number in scientific notation.
45)
0.00087
A)
87 × 105
B) 87
× 10-5
C)
8.7 × 10-4
D)
8.7 × 106
46) Simplify.
3x-3
A)
1
3x3
46)
B)
27
C)
x3
3
D)
x3
1
27x3
47) Multiply and write the answer in scientific notation.
(1.64×10-7)(2×108 )
A)
3.28×10-1
B) 3.28×1015
C)
47)
3.28×10-15
D)
3.28×101
48) Find a polynomial that represents the area of the figure below.
A)
35 2 3
t +
2
2
B) 12t +
C)
3
48)
35t2 + 15t
D)
35 2 15
t +
t
2
2
49) Divide the polynomials.
(13y3 + y2 - 41y) ÷ (-2y2 )
A) C)
49)
13
1 41
y- +
2
2 2y
13
1 41
y+ 2
2 2y
B) -
13 3/2 y 41 1/2
y - +
y
2
2
2
D) -
13
1 41
y- +
y
2
2
2
50) Categorize the expression as a monomial, a binomial, or a trinomial.
4x3 - 6x
A)
trinomial
B) monomial
C)
7
binomial
50)
Answer Key
Testname: PRACTICECH5
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