AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYQuadratic Functions and Equations

Practice Test Answers

16 verified answers
1
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Which equation can be used to find the dimensions of the patio?

A
0 point 5 x open paren x plus 5 close paren is equal to 841
B
0 point 5 x open paren x plus 5 close paren is equal to 29
C
x squared plus open paren x plus 5 close paren squared is equal to 841
D
x squared plus open paren x plus 5 close paren squared is equal to 29
2
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Which function can be used to model the monthly profit for x trinkets produced?

A
f of x is equal to negative 4 open paren x minus 50 close paren open paren x minus 250 close paren
B
f of x is equal to negative 1 fourth open paren x minus 50 close paren open paren x minus 250 close paren
C
f of x is equal to 28 open paren x plus 50 close paren open paren x plus 250 close paren
D
f of x is equal to 1 twenty-eighth open paren x plus 50 close paren open paren x plus 250 close paren
3

Which graph shows a system of equations with a solution at 2 comma negative 1 ?

A
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A downward-opening parabola and a straight line are plotted. The parabola has a vertex at the point 0 comma 1. The straight line has a positive slope and passes through the point 0 comma negative 3 and the point 3 comma 0.
B
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. A downward-opening parabola and a straight line are plotted. The parabola has a vertex at the point 0 comma 3. The straight line has a positive slope and passes through the point 1 comma 0 and the point 0 comma negative 1.
C
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. An upward-opening parabola and a straight line are plotted. The parabola has a vertex at the point 0 comma negative 2. The straight line has a positive slope and passes through the point 1 comma 0 and the point 0 comma negative 1.
D
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5. An upward-opening parabola and a straight line are plotted. The parabola has a vertex at the point 0 comma negative 3. The straight line has a negative slope and passes through the point negative 3 comma 0 and the point 0 comma negative 3.
4

Clara writes the equation open paren x minus 13 close paren times open paren x plus 8 close paren is equal to 196 to solve for the missing side length of a rectangle represented by the factor x plus 8 What is the missing side length represented by x plus 8 units of the rectangle?

A
28
B
20
C
15
D
7
5

What are the solutions to the quadratic equation 4 times open paren x plus 2 close paren squared is equal to 36 ?

A
x is equal to negative 5 and x is equal to 1
B
x is equal to negative 1 and x is equal to 5
C
x is equal to negative 11 and x is equal to 7
D
x is equal to negative 7 and x is equal to 11
6

What is the y -value of the vertex of the function f of x is equal to negative open paren x minus 3 close paren times open paren x plus 11 close paren ?

A
33
B
49
C
negative 4
D
negative 8
7

Which function has a vertex on the y -axis?

A
f of x is equal to open paren x minus 2 close paren squared
B
f of x is equal to x times open paren x plus 2 close paren
C
f of x is equal to open paren x plus 1 close paren times open paren x minus 2 close paren
D
f of x is equal to open paren x minus 2 close paren times open paren x plus 2 close paren
8

The first two steps in determining the solution set of the system of equations, y is equal to negative x squared plus 4 x plus 12 and y is equal to negative 3 x plus 24 , algebraically are shown in the table. Step Equation Step 1 negative x squared plus 4 x plus 12 is equal to negative 3 x plus 24 Step 2 x squared minus 7 x plus 12 is equal to 0 Which represents the solution(s) of this system of equations?

A
3 comma 15 and 4 comma 12
B
3 comma 15
C
negative 3 comma 33 and negative 4 comma 36
D
negative 4 comma 36
9

Which is the graph of the function f of x is equal to x squared plus 2 x plus 3 ?

A
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at negative 1 comma 2. The curve passes through negative 2 comma 3 and 0 comma 3, with both ends extending upward to the top edge of the grid near 5.
B
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at 2 comma negative 1. On the left, the curve passes through 1 comma 0 and 0 comma 3. On the right, the curve passes through 3 comma 0 and 4 comma 3. Both ends extend upward to the top edge of the grid near 5.
C
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at 1 comma 2. The curve passes through 0 comma 3 and 2 comma 3, with both ends extending upward to the top edge of the grid near 5.
D
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled y. The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening U-shaped parabola has its vertex at negative 2 comma negative 1. On the left, the curve passes through negative 3 comma 0 and negative 4 comma 3. On the right, the curve passes through negative 1 comma 0 and 0 comma 3. Both ends extend upward to the top edge of the grid near 5.
10

The function g of x is defined as g of x is equal to 6 x squared plus 23 x minus 4 When does g of x is equal to 0 ?

A
x is equal to negative 6 or x is equal to 1 fourth
B
x is equal to negative 1 sixth or x is equal to 4
C
x is equal to negative 4 or x is equal to 1 sixth
D
x is equal to negative 1 fourth or x is equal to 6
11

What are the x -intercepts of the graph of the function f of x is equal to x squared plus 5 x minus 36 ?

A
negative 3 comma 0 and 12 comma 0
B
3 comma 0 and negative 12 comma 0
C
negative 4 comma 0 and 9 comma 0
D
4 comma 0 and negative 9 comma 0
12

What values of b satisfy 4 times open paren 3 b plus 2 close paren squared is equal to 64 ?

A
b is equal to 2 and b is equal to 10 thirds
B
b is equal to 2 thirds and b is equal to negative 2
C
b is equal to 2 thirds and b is equal to 3
D
b is equal to 2 and b is equal to negative 10 over 3
13

Two numbers are 10 units away in different directions from their midpoint, m , on a number line. The product of the numbers is negative 99 Which equation can be used to find m , the midpoint of the two numbers?

A
open paren m minus 10 close paren times open paren m plus 10 close paren is equal to 99
B
open paren m minus 5 close paren times open paren m plus 5 close paren is equal to 99
C
m squared minus 100 is equal to negative 99
D
m squared minus 25 is equal to negative 99
14

What are the solutions to m squared minus 9 is equal to 0 ?

A
m is equal to negative 3 and m is equal to 3
B
m is equal to 9
C
m is equal to negative 3
D
m is equal to negative 9 and m is equal to 0
15

A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its width, w ?

A
w times open paren 2 w plus 5 close paren is equal to 50
B
2 w open paren w plus 5 close paren is equal to 50
C
w times open paren w plus 5 close paren is equal to 50
D
2 w open paren 2 w plus 5 close paren is equal to 50
16

Which function does the graph represent?

A
f of x is equal to open paren x plus 2 close paren squared plus 3
B
f of x is equal to negative open paren x plus 2 close paren squared plus 3
C
f of x is equal to open paren x minus 2 close paren squared plus 3
D
f of x is equal to negative open paren x minus 2 close paren squared plus 3

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