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

Radical Functions and Introduction to Proof — Test Answers

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Which statement is true about angles 3 and 5?

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

What is the measure of angle TSU ?

A
25 degrees
B
45 degrees
C
65 degrees
D
75 degrees
4

What is the missing reason in step 3?

A
substitution property of equality
B
addition property of equality
C
angle addition postulate
D
subtraction property of equality
5

Given that over right arrow EB bisects angle CEA , which statements must be true? Choose three correct answers.

A
m angle CEF is equal to m angle CEA plus m angle BEF
B
m angle CEB is equal to 2 times open paren m angle CEA close paren
C
angle CEF is a straight angle.
D
angle AEF is a right angle.
E
m angle CEA is equal to 90 degrees
6

If the range of f of x is equal to square root of m x and the range of g of x is equal to m square root of x are the same, which statement is true about the value of m ?

A
m can only equal 1 .
B
m can be any positive real number.
C
m can be any negative real number.
D
m can be any real number.
7

Which expression is equivalent to the fraction with numerator square root of 10 and denominator 4th root of 8 ?

A
the fraction with numerator 4th root of 20 and denominator 2
B
100 eighths
C
the fraction with numerator 2 square root of 5 and denominator 5
D
the fraction with numerator 4th root of 200 and denominator 2
8

What is the following product? square root of 30 times square root of 10

A
4 square root of 10
B
2 square root of 10
C
10 square root of 3
D
3 square root of 10
9

What is the following sum? 5 x open paren cube root of x squared y close paren plus 2 times open paren cube root of x to the 5th power y close paren

A
7 x squared open paren cube root of x y squared close paren
B
7 x open paren cube root of x squared y close paren
C
7 x open paren 6th root of x squared y close paren
D
7 x squared open paren 6th root of x y squared close paren
10

What is the solution of square root of x plus 12 end root is equal to x ?

A
x is equal to negative 3
B
x is equal to 4
C
x is equal to negative 3 or x is equal to 4
D
no solution
11

What is the following product? cube root of 16 x to the 7th power times cube root of 12 x to the 9th power

A
x to the 5th power times open paren cube root of 28 x close paren
B
4 x squared open paren cube root of 3 x squared close paren
C
x squared times open paren cube root of 28 x squared close paren
D
4 x to the 5th power open paren cube root of 3 x close paren
12

Which of the following is the graph of y is equal to square root of negative x minus 3 end root ?

A
Image with description On a coordinate plane x and y axes range from negative 8 to 8 in increments of 1. The curve opens up and to the right in quadrants 3 and 4. The origin of the curve is (negative 3 comma 0) and the curve passes through (6 comma negative 3).
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (3 comma 0) and decreases into the fourth quadrant. It passes through points (4 comma negative 1) and (7 comma negative 2).
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (3 comma 0) and passes through points (negative 1 comma 2) and (negative 6 comma 3) in the 2nd quadrant.
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve opens down and to the left in quadrant 2. The origin of the curve is (negative 3 comma 0) and passes through (negative 7 comma 2).
13

Which function is undefined for x is equal to 0 ?

A
y is equal to square root of x plus 2 end root
B
y is equal to cube root of x plus 2
C
y is equal to square root of x minus 2 end root
D
y is equal to cube root of x minus 2
14

What is the solution of square root of x plus 2 end root minus 15 is equal to negative 3 ?

A
x is equal to 142
B
x is equal to 232
C
x is equal to 322
D
no solution
16

What is the following quotient? the fraction with numerator 9 plus square root of 2 and denominator 4 minus square root of 7

A
the fraction with numerator 36 minus 9 square root of 7 plus 4 square root of 2 minus square root of 14 and denominator 9
B
the fraction with numerator 36 plus 9 square root of 7 plus 4 square root of 2 plus square root of 14 and denominator 9
C
the fraction with numerator 9 square root of 7 plus square root of 14 and denominator negative 3
D
79 ninths
17

What is the simplest form of 4th root of 81 x to the 8th power y to the 5th power ?

A
9 x squared y open paren 4th root of y close paren
B
9 x to the 4th power y squared open paren 4th root of y close paren
C
3 x squared y open paren 4th root of y close paren
D
3 x squared open paren 4th root of y to the 5th power close paren
18

Which expression is equivalent to 4th root of 144 A to the 12th power b cubed ? Assume A is greater than or equal to 0 and b is greater than or equal to 0

A
12 A to the 6th power b open paren 4th root of b close paren
B
2 A to the 4th power b open paren 4th root of 18 close paren
C
12 A cubed open paren 4th root of b cubed close paren
D
2 A cubed open paren 4th root of 9 b cubed close paren
20

Which expression is equivalent to 144 raised to the 3 halves power ?

A
1 comma 728
B
216
C
cube root of 72
D
cube root of 12

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