AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYCreating Equations, Polynomials, and Quadratic Functions

Practice Test Answers

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Which best describes the function on the graph?

A
inverse variation; k is equal to 3
B
direct variation; k is equal to 1 third
C
direct variation; k is equal to 3
D
inverse variation; k is equal to 1 third
3

Which equation has an A -value of negative 2 , a b -value of 1 , and a c -value of 3 ?

A
0 is equal to negative 2 x squared plus x plus 3
B
0 is equal to 2 x squared minus x plus 3
C
0 is equal to 2 x squared plus x plus 3
D
0 is equal to negative 2 x squared plus 3
4

What is the vertex of the graph of y plus 2 x plus 3 is equal to negative open paren x plus 2 close paren squared plus 1 ?

A
open paren 3 comma 21 close paren
B
open paren 3 comma negative 24 close paren
C
open paren negative 3 comma negative 33 close paren
D
open paren negative 3 comma 3 close paren
5

The function f of x is equal to negative 3 x squared plus 36 x minus 119 written in vertex form is f of x is equal to negative 3 times open paren x minus 6 close paren squared minus 11 Which statements are true about the graph of f of x ? Choose three correct answers.

A
The parabola opens down.
B
The axis of symmetry is the line x is equal to 6 .
C
The value of h , when the equation is written in vertex form, is positive.
D
The vertex of the graph is at negative 6 comma negative 11 .
E
The parabola has a minimum.
6

Which function is a quadratic function?

A
k times x is equal to negative x
B
f of x is equal to 2 x squared
C
b times x is equal to negative 9 x to the 4th power
D
g of x is equal to 5 x cubed
7

Fiona is completing the square to solve the polynomial equation. x squared minus 4 x plus 1 is equal to 0 What should be her first step?

A
adding 1 to both sides of the equation
B
isolating the second term, negative 4 x
C
isolating the constant 1
D
adding 4 to both sides of the equation
9

Solve x squared plus 6 x is equal to 7 by completing the square. Which is the solution set of the equation?

A
start set negative 3 minus square root of 10 comma negative 3 plus square root of 10 end set
B
start set negative 7 comma 1 end set
C
start set 1 comma 7 end set
D
start set 3 minus square root of 10 comma 3 plus square root of 10 end set
10

Which expression is equivalent to open paren 2 g cubed plus 4 close paren squared ?

A
4 6th power of g plus 8
B
4 6th power of g plus 16
C
4 9th power of g plus 16 g cubed plus 8
D
4 6th power of g plus 16 g cubed plus 16
11

Which expression is equivalent to open paren 4 x cubed y to the 5th power close paren times open paren 3 x to the 5th power y close paren squared ?

A
36 x to the 28th power y to the 6th power
B
24 x to the 13th power y to the 7th power
C
144 x to the 16th power y to the 12th power
D
36 x to the 13th power y to the 7th power
12

Which graph represents an inverse variation?

A
Image with description On a coordinate plane, a curve goes through the point negative 2 comma 4, the point negative 1 comma 2, and the point 0 comma 1 and approaches the x-axis.
B
Image with description On a coordinate plane, a curve starts close to the x-axis and goes through the point 0 comma 1, the point 1 comma 2, and the point 2 comma 4.
C
Image with description On a coordinate plane, a line passes through the point negative 1 comma negative 2, the point 0 comma 0, and the point 1 comma 2.
D
Image with description On a coordinate plane, a curve goes through the point negative 1 comma negative 3. It approaches the x-axis from the left of this point. It approaches the y-axis from the right of this point. Another curve goes through the point 1 comma 3. It approaches the y-axis from the left of this point. It approaches the x-axis from the right of this point.

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