COLLEGE ALGEBRA
REVIEW FOR TEST PRE-UNIT
SHORT ANSWER. Write the word or phrase that best
completes each statement or answers the question.
Evaluate.
1)
16) (-2x)3
17) (-3x)2
m-n
, for m = 5 and n = 9
4
Find all the factors of the number.
18) 30
Translate to an algebraic expression.
2) 10 decreased by b
Find the prime factorization of the number. If the number
is prime, state this.
19) 90
3) 3 less than 6 times a number
4) Leanne had $25 remaining after paying x
dollars for a dinner and a movie. How much
did she have at the start of the evening?
Find all the factors of the number.
20) 42
Solve the equation.
21) 4y - 3 + y = 46 + 2y - 4y
Translate the problem to an equation. Do not solve.
5) Twice a number less 7 equals 3.
22)
6) 3 times a number equals 8 less than 4 times the
number.
p 3p
=2
3
8
Solve using the five-step problem-solving process.
23) The sum of two consecutive even integers is 78.
Find the larger number.
7) The product of twice a number and 3 is 72.
Use the commutative law of addition to write an
equivalent expression.
8) 4a + b
24) If 14 is added to a number and the sum is
doubled, the result is 19 less than the number.
Find the number.
Use the commutative law of multiplication to write an
equivalent expression.
9) 8a + b
25) Find the length of a rectangular lot with a
perimeter of 86 meters if the length is 5 meters
more than the width. (P = 2L + 2W)
Use the associative law of multiplication to write an
equivalent expression.
10) 5(np)
26) A rectangular Persian carpet has a perimeter of
168 inches. The length of the carpet is 18 inches
more than the width. What are the dimensions
of the carpet?
11) 6[m(9 + n)]
Graph on a number line.
27) -1 x < 3
Simplify.
12) 9 2 + 10 · 6 - (8 + 6 · 5)
13) 74 - 2 · 9 + 210 ÷ (-15)
Describe the graph using set-builder notation.
28)
14) 9x - (3x - 7) - (-8x + 1)
15) (-2y)4
1
29)
Solve using the addition and multiplication principles.
30) 20n - 30 5(3n - 12)
31) 18n - 48 6(2n - 5)
32) 21n + 27 3(6n + 8)
Solve the equation.
p 3p
=4
33) 3
8
34)
p 3p
=5
3
8
35) 4y - 1 + y = 29 + 3y - 4y
36) 5y - 2 + y = 54 + 3y - 5y
Find all the factors of the number.
37) 42
38) 42
Find the prime factorization of the number. If the number
is prime, state this.
39) 350
40) 126
Simplify.
41) (-2x)6
42) (-2x)2
43) (-3x)4
2
Answer Key
Testname: PRE-UNIT PRACTICE TEST
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
-1
10 - b
6x - 3
25 + x
2x - 7 = 3
3x = 4x - 8
2x + 3 = 72
b + 4a
a8 + b
(5n)p
(6m)(9 + n)
103
42
14x + 6
15) 16y4
16) -8x3
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27)
9x2
1, 2, 3, 5, 6, 10, 15, 30
2·3·3 ·5
1, 2, 3, 6, 7, 14, 21, 42
7
-48
40
-47
24 m
33 in., 51 in.
28)
29)
30)
31)
32)
33)
34)
35)
36)
37)
38)
39)
40)
{x x > -2}
{x x -4}
{n n -6}
{n n 3}
{n n -1}
-96
-120
5
7
1, 2, 3, 6, 7, 14, 21, 42
1, 2, 3, 6, 7, 14, 21, 42
2·5·5 ·7
2·3·3 ·7
41) 64x6
42) 4x2
43) 81x4
3