AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYRadical Functions and Introduction to Proof

Practice Test Answers

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1
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What is the format of this proof?

A
one-paragraph proof
B
two-column proof
C
flowchart proof
D
two-paragraph proof
2
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Which statement is true about angles UST and QSR ?

A
They are congruent.
B
They are complementary.
C
They are supplementary.
D
They are obtuse.
3

What is the format of this proof?

A
one-paragraph proof
B
flowchart proof
C
two-column proof
D
two-paragraph proof
4

In the diagram, which angles form a linear pair? Choose three correct answers.

A
angle TSU and angle RSV
B
angle TSU and angle USV
C
angle RST and angle RSV
D
angle RST and angle TSU
E
angle RST and angle VSU
5

Which angles form a linear pair?

A
angle LRP and angle ORP
B
angle MRN and angle NRO
C
angle ORP and angle MRN
D
angle PRL and angle LRM
6

Which equation represents the relationship between their measures?

A
m angle 1 plus m angle 2 is equal to 100 degrees
B
m angle 1 plus m angle 2 is equal to 200 degrees
C
m angle 1 plus m angle 2 is equal to 90 degrees
D
m angle 1 plus m angle 2 is equal to 180 degrees
7

What is the following quotient? the fraction with numerator 6 minus 3 times open paren cube root of 6 close paren and denominator cube root of 9

A
2 times open paren cube root of 3 close paren minus cube root of 18
B
3 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren
C
3 times open paren cube root of 3 close paren minus cube root of 18
D
2 times open paren cube root of 3 close paren minus 3 times open paren cube root of 2 close paren
8

What is the solution of 4 plus square root of 5 x plus 66 end root is equal to x plus 10 ?

A
x is equal to negative 10
B
x is equal to 3
C
x is equal to negative 10 or x is equal to 3
D
no solution
9

Which expression is equivalent to cube root of the fraction with numerator 75 A to the 7th power b to the 4th power and denominator 40 A to the 13th power c to the 9th power ? Assume A is not equal to 0 and c is not equal to 0

A
the fraction with numerator A cubed b open paren cube root of 15 b squared close paren and denominator 2 c cubed
B
the fraction with numerator A cubed b open paren cube root of 15 b squared close paren and denominator 6 c cubed
C
the fraction with numerator b times open paren cube root of 15 b close paren and denominator 2 A c
D
the fraction with numerator b times open paren cube root of 15 b close paren and denominator 2 A squared c cubed
10

What is the following product? open paren square root of 12 plus square root of 6 close paren times open paren square root of 6 minus square root of 10 close paren

A
6 square root of 3 minus 6 square root of 5
B
3 square root of 2 minus square root of 22 plus 2 square root of 3 minus 4
C
6 square root of 2 minus 2 square root of 30 plus 6 minus 2 square root of 15
D
2 square root of 3 plus 6 minus 2 square root of 15
11

Which function has a domain of x is greater than or equal to 5 and a range of y is less than or equal to 3 ?

A
y is equal to square root of x minus 5 end root plus 3
B
y is equal to negative square root of x minus 5 end root plus 3
C
y is equal to negative square root of x plus 5 end root minus 3
D
y is equal to square root of x plus 5 end root minus 3
12

Which graph represents y is equal to cube root of x plus 2 ?

A
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma negative 4), (0 comma negative 2), and (8 comma 0). The curve has a point of inflection at (0 comma negative 2).
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma 0), (0 comma 2), and (8 comma 4). The curve has a point of inflection at (0 comma 2).
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 9 comma negative 2), (negative 2 comma 0), and (7 comma 2).
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 6 comma negative 2), (0 comma negative 1), and (8 comma 2). The curve has a point of inflection at (2 comma 0).
14

What is the following product? Assume x is greater than or equal to 0 cube root of x squared times 4th root of x cubed

A
x times open paren 12th root of x to the 5th power close paren
B
12th root of x to the 5th power
C
x to the 6th power
D
x square root of x
16

What is the solution of square root of x minus 4 end root plus 5 is equal to 2 ?

A
x is equal to negative 17
B
x is equal to 13
C
x is equal to 53
D
no solution
17

What is the simplified form of the following expression? Assume x is not equal to 0 5th root of the fraction with numerator 10 x and denominator 3 x cubed

A
the fraction with numerator 5th root of 10 x and denominator 3 x
B
the fraction with numerator 5th root of 810 x cubed and denominator 3 x
C
the fraction with numerator 5th root of 30 and denominator 3 x
D
the fraction with numerator 5th root of 120 x cubed and denominator 3 x
18

Which expression is equivalent to square root of the fraction with numerator 8 and denominator x to the 6th power end root ? Assume x is greater than 0

A
the fraction with numerator square root of 2 and denominator 2 x cubed
B
the fraction with numerator x cubed square root of 2 and denominator 2
C
the fraction with numerator 2 square root of 2 and denominator x cubed
D
the fraction with numerator 4 square root of 2 and denominator x cubed
19

Which expression is equivalent to open paren 16 x to the 8th power y to the negative 12 power close paren raised to the 1 half power ?

A
negative 8 x to the 4th power y to the 6th power
B
negative 4 x to the 4th power y to the 6th power
C
the fraction with numerator 4 x to the 4th power and denominator y to the 6th power
D
the fraction with numerator 8 x to the 4th power and denominator y to the 6th power
20

What is the following sum? 3 b squared open paren cube root of 54 A close paren plus 3 times open paren cube root of 2 A b to the 6th power close paren

A
6 b squared open paren cube root of 2 A close paren
B
12 b squared open paren cube root of 2 A close paren
C
12 b squared open paren 6th root of 2 A close paren
D
6 b squared open paren 6th root of 2 A close paren

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