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Analyzing Graphs — Unit test Answers

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What is the product of and when g0?

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Simplify .

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3

Which equation is equivalent to = 35?

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= 175
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B
x + 8 = 343
C
x + 8 = 21
D
x = 351
4

A builder needs three pipes of different lengths. The pipes are feet long, feet long, and feet long.How many feet of piping is required in all? (Hint: Try dividing each radicand by 6.)

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feet
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feet
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feet
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feet
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5

What is the value of the rational expression when x = 5?

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6

Which shows all the values of a that make the rational expression undefined?

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a = 9
B
a = 3
C
a = –9 or a = 9
D
a = –3 or a = 3
7

The potential solutions to the radical equation are a = −4 and a = −1.Which statement is true about these solutions?

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The solution a = −4 is an extraneous solution.
B
The solution a = −1 is an extraneous solution.
C
Both a = −4 and a = −1 are true solutions.
D
Neither a = −4 nor a = −1 are true solutions.
8

Which phrase represents the algebraic expression 5x - 9?

A
the product of five times a number and nine
B
the difference of nine times a number and five
C
the sum of five times a number and five
D
the difference of five times a number and nine
9

What is the quotient of ? Assume y0.

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2
D
4
10

Which property of real numbers is shown below?3 + ((-5) + 6) = (3 + (-5)) + 6

A
commutative property of addition
B
identity property of multiplication
C
associative property of addition
D
commutative property of multiplication
11

Which rational expression has a value of 0 when x = –2?

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12

What is the value of the rational expression when x = 3?

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0
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undefined
13

Simplify .

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A
4y4
B
4y8
C
8y4
D
8y8
14

Misaka solved the radical equation x – 3 = but did not check her solutions.(x – 3)2 = x2 – 6x + 9 = 4x – 7x2 – 10x + 16 = 0(x – 2)(x – 8) = 0x = 2 and x = 8

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x = 2
B
x = 8
C
x = 2 and x = 8
D
There are no true solutions to the equation.
15

Which algebraic expression represents the phrase “seven more than half of a number”?

A
7 minus one-half x
Option A
B
Negative 7 + one-half x
Option B
C
One-half x + 7
Option C
D
Negative one-half x minus 7
Option D
16

Combine and simplify these radicals.

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Option
Option A
B
160
C
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Option C
D
40
17

Solve the radical equation x – 7 = . Which statement is true about the solutions to the radical equation?

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A
There are no true solutions.
B
There are two true solutions.
C
There is one extraneous solution, with a value greater than 4.
D
There is one true solution, with a value greater than 6.
18

Which expressions are equivalent to when x0? Select three options.

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19

Which of the following is an example of why irrational numbers are not closed under addition?

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, and 4 is not irrational
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B
, and 1 is not irrational
Option B
C
, and 0 is not irrational
Option C
D
–3 + 3 = 0, and 0 is not irrational
20

What is the value of the rational expression when x = 5?

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