Download Chapter 10 Homework PDF #3

Chapter 10
Homework PDF #3
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the square root if it is a real number, or state that the expression is not a real number.
1) -196
A) 38,416
B) 14
C) not a real number
D)
1)
14
196
Find the domain of the square root function. Then use the domain to choose the correct graph of the function.
2) f(x) = 3 - x
2)
A) domain of f: [3, Q)
B) domain of f: (3, Q)
C) domain of f: (gQ, 3]
D) domain of f: (gQ, 3)
Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.
(5x3/4)2
3)
3)
x1/8
A) 5x11/8
B) 25x6
C) 25x11/8
D) 5x7/8
Simplify by factoring. Assume that any variable in a radicand represents a positive real number.
3
4) x3y10z
3
3
3
3
A) xy y7 z
B) xy3 y z
C) x3y10z
D) x y10z
4)
Express the function, f, in simplified form. Assume that x can be any real number.
5) f(x) = 3x2 - 30x + 75
A) f(x) = (x + 5) 3
C) f(x) =
5)
B) f(x) = x 78 - 30x
(x + 5) 3
x
D) f(x) = x - 5
3
Multiply and simplify. Assume that all variables in a radicand represent positive real numbers.
3
3
6) 20x10y · 16x16y13
A) 4x8 y4
3
5x2 y
Add or subtract as indicated.
7) 5 5 + 9 5 - 11
A) -4 5 - 11
B) 4x8 y4
3
x2 y2
C) 4x8 y4
3
5x2 y2
D) 4x7 y4
6)
3
16x2 y2
7)
B) 14 5 - 11
C) 3 5
1
D) 25 5
Divide and, if possible, simplify. Assume that all variables represent positive real numbers.
10xy3
8)
2x
A) y2 10y
B) y2 5xy
C) y2 5y
Multiply and simplify. Assume that all variables represent positive real numbers.
9) (3 + 3)(4 + 4 3)
A) 24 + 8 3
B) 12 + 20 3
C) 72
D) y 5y
9)
D) 24 + 16 3
Rationalize the denominator and simplify.
8
10)
5x
A)
8 5x
5x
10)
B) 8 5x
C) 33x
D)
64 5x
5x
Rationalize the denominator and simplify.
5
11)
7- 5
A)
5
5
7
5
B)
11)
35 - 5 5
44
C)
35 + 5 5
44
D)
35 + 5 5
-2
Solve the equation.
12) 7x - 6 = 6
A) +
12)
B) {6}
30
C)
7
D) {36}
C) 72 + 12i
D) 42i2 + 72i + 30
Find each product. Write the result in the form a + bi.
13) (5 + 7i)(6 + 6i)
A) -12 - 72i
8)
13)
B) -12 + 72i
2