Name___________________________________
H0409 Chapter 4 Practice Test
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Evaluate the expression.
1) 32
1)
2) (-7)3
2)
Evaluate the expression with the given replacement values.
3) x2 ; x = -6
3)
4) -3x3 y; x = 4 and y = -4
4)
Use the product rule to simplify the expression. Write the result using exponents.
5) (-7p8 )(7p6 )
5)
6) x4 · x5 · x7
6)
7) (-2)6 (-2)4
7)
Use the quotient rule to simplify the expression.
h4
8)
h
9)
10)
8)
63m 8 n 11
9m 7 n 8
9)
(-5)20
(-5)18
10)
Use the power rule to simplify the expression.
11) (y5 )9
11)
12) (54 )7
12)
Simplify the expression. Write the result using positive exponents only.
13) 5-4
14)
1 -3
2
13)
14)
1
15) (-5)-2
16)
15)
y-8
y2
16)
17) r-2
18)
17)
1
18)
m -6
19) -5z -2
19)
x9 (x-8 )-6
(x-3 )-8
20)
21) (x-4 y3)-1
21)
22) (-5x6 y-7)(2x-1 y)
22)
20)
Write the number in scientific notation.
23) 869,000
23)
24) 0.000458
24)
25) A light-year is a measure of length defined as the distance that light travels in one year,
which is about 9,500,000,000,000 kilometers. Write this number in scientific notation.
25)
Write the number in standard notation.
26) 8.79 × 106
26)
27) 4.48 × 10-4
27)
28) A light-year is a measure of length defined as the distance that light travels in one year,
which is about 5.9 × 1012 miles. Write this number in standard notation.
28)
Evaluate the expression using exponential rules. Write the result in standard notation.
8 × 106
29)
4 × 107
30) (3 × 104) × (4 × 103)
29)
30)
2
Find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of
these.
31) 13x
31)
32) -18y3 + 7
32)
33) -13y5 + 9y4 + 3
33)
34) 11q2r2 + rs3 + 18qr2 s
34)
Identify the parts of each expression. Choose from these labels: variable, constant, and coefficient.
35) 18h + 4
35)
Simplify the following by combining like terms.
36) 9r - 13r3 + 9r3 + 5r
36)
Perform the indicated operation.
37) (14x2 + 11) - (3x2 - 7)
37)
Solve.
38) 6z - (16 - 3z)
38)
39) (9n 7 + 15n 6 - 2) - (5n 7 + 11n 6 + 10)
39)
40) (3x9 - 9x8 + 8x 7 - 8) + (5x 9 - 3x8 + 4x7 + 7)
40)
41) Subtract x from x3 - 3x - 14.
41)
42) Subtract (-8x2 - 3x + 2) from (-x2 - 8x + 5).
42)
43) Find the perimeter of the given figure.
43)
(2x - 1) meters
(-x + 6 ) meters
x2 meters
x meters
(x2 - 9x - 1) meters
3
44) A wooden beam is (4y2 + 4y + 1) feet long. If a piece (y2 - 14) feet is cut, express the length
of the remaining piece of beam as a polynomial in y.
(4y2 + 4y + 1) feet
44)
(y2 - 14)
feet
Multiply.
45) (4.9x9 )(4x4 )
45)
46) 6x2 (4x2 - 2x + 2)
46)
47) -y(8x3 - 3y + 8x - 2y3 )
47)
48) (z + 9)(z + 8)
48)
49) x -
Solve.
1
8
x+
1
5
49)
50) (4x - 2)(5x + 2)
50)
51) Find the area of the top of the table. Express the area as a product, then multiply and
simplify.
51)
(7x + 4) inches
(7x - 4) inches
Multiply.
52) (x + 7)(x3 + 6x - 5)
52)
53) (y - 2)(y - 2)
53)
54) (7z + 6)2
54)
4
55) (10x - 7y)2
55)
Find the area of the shaded square.
56)
56)
(10x - 4) feet
(10x - 4) feet
Multiply.
57) (x + 8)(x - 8)
57)
58) (2p + 1)(2p - 1)
58)
1
3
59)
59) x +
60)
x-
1
3
1
1
y - 11
y + 11
2
2
60)
61) (x2 + 10y)(x2 - 10y)
61)
Perform the division.
48x6 + 56x5 + 56x4
62)
8x5
63)
62)
m 3 n 5 - mn 5
mn
63)
5