MATH 0312 TEST ON CHAPTER 7
ANSWER ALL QUESTIONS. TIME 1.5HRS.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Simplify by factoring.
1) 25m 21
A) 5m 9 m
Simplify.
2)
1)
B) 5m 10 m
C) 5m 10
2)
49
A) 7
C) 24
Solve the equation.
3) 3x - 2 + 11 + x = -1
5
A) - 2
D) 5m 11
B) Not a real number
D) 8
3)
B) 0 C) No solution D) 5 Simplify. Remember that we have assumed that radicands do not represent the square of a negative number.
4) (z - 2)2
4)
A) z - 2
B) (z - 2)2
C) z - 2
D) z - 2
Rationalize the denominator and simplify.
3
5)
8 - 2
A)
3
3
- 8
2
B)
5)
24 + 3 2
62
C)
24 + 3 2
6
D)
24 - 3 2
62
Simplify. Remember that we have assumed that radicands do not represent the square of a negative number.
6)
6) z 2 - 10z + 25
2
A) z - 5
B) (z - 5)
C) z - -5
D) z + -5
Decide whether or not the radical expression represents a real number.
7) - 100
A) Yes
B) No
7)
Divide and simplify.
20
8)
5
A) 2
8)
B)
2
5
C) 5
D) 2 5
Solve the problem.
9) A retailer finds that total costs per day are given by c = 169 n + 196, where c is cost and n is units
sold. What is c when no units are sold?
A) $365
B) $182
C) $196
D) $2366
1
9)
Add or subtract. Simplify by collecting like radical terms, if possible.
10) 3a + 4 27a + 3 12a
A) 19 3a
B) 7 42a
C) 19 42a
Simplify.
11) - 529
A) Not a real number
C) -23
10)
D) 7 3a
11)
B) 23
D) -264
Rationalize the denominator and simplify.
45x3
12)
y5
A)
3x
y2
5x
y
B)
12)
3x 5xy
y3
C)
Simplify.
13) - 16
A) -4
C) -5
x 45xy
y3
D)
3x3 5
y5
13)
B) Not a real number
D) -8
Rationalize the denominator and simplify.
3
14)
10
A)
9 10
10
Perform the indicated operation.
15) (5 + 12)(5 - 12)
A) -7
Identify the radicand.
16) y - 7
A) y - 7
14)
3 10
10
B) 103
C) 3 10
D)
B) 13
C) 5 - 2 12
D) 37
15)
16)
B) y + 7
C)
D) y - 7
B) (x - 5)8 (x - 5)
C) (x - 5)8
D) x - 59
B) 24
C) 12
D) 48
Simplify by factoring.
17) (x - 5)16
A) (x - 5)7
Solve the equation.
18) 2k + 1 = 7
A) -24
17)
18)
Divide and simplify.
16x
19)
4x
A) 2x
19)
B) 2
C) 4
2
D) 4x
Multiply and then, if possible, simplify by factoring.
20) 10 14
A) 70
B) 2 35
20)
C)
140
D) 4 35
Rationalize the denominator and simplify.
6
21)
6
A) 6
21)
B) 1
C) 6 6
D)
6
Multiply and then, if possible, simplify by factoring.
22) 2x2 22x4
A) 2x6 11
Perform the indicated operation.
23) 12 4 - 3 75
A) 12 - 15 3
22)
B) 2 11x6
C) 2x3 11
D) 4x3 11
23)
C) -11 3
B) 16 - 15 3
D) -1 3
Solve the equation.
24) 6q - 5 = 5
A) No solution
24)
10
3
B) 5
C)
B) y - 5
C) y
D) 25
Identify the radicand.
25) 4x y - 5
A) 4x
25)
D)
y - 5
Multiply and then, if possible, simplify by factoring.
26) x - 3 x - 3
A) x - 3
B)
26)
x - 3
C)
x2 + 9
D) x2 - 6x + 9
Simplify by factoring.
27) 486y2
A) 9y 6
27)
C) 9y2 6
B) 9 6
Add or subtract. Simplify by collecting like radical terms, if possible.
28) -4 7 - 3 7
A) 6 7
B) -7 7
C) -1 7
D) 9 6y2
28)
D) 2 7
Rationalize the denominator and simplify.
98
29)
x
A) 7
2
x
B)
29)
7 2x
x
C)
3
7x
x
D) 7 2x
Perform the indicated operation.
30) ( 8 + 7)( 8 - 7)
A) 8 - 2 56
30)
B) 15
C) 8 - 4 28
Add or subtract. Simplify by collecting like radical terms, if possible.
31) 20 5 - 13 5
A) 7
B) 33 5
C) 7 5
D) 1
31)
D) 35
Solve the problem.
32) The cost of manufacturing clocks is given by c = 81 n + 49, where c is the total cost and n is the
number produced. What is c when no clocks are produced?
A) $63
B) $3969
C) $81
D) $567
Multiply and then, if possible, simplify by factoring.
33) 64 4
A) 256
B) 16
32)
33)
C) 4 16
4
D) 4 4
Answer Key
Testname: M0312C7
1) B
2) A
3) C
4) D
5) B
6) A
7) A
8) A
9) C
10) A
11) C
12) B
13) A
14) D
15) B
16) D
17) C
18) B
19) B
20) B
21) D
22) C
23) C
24) B
25) B
26) A
27) A
28) B
29) B
30) D
31) C
32) D
33) B
5