AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYSolving Quadratic Equations: Square Root Property

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What are the solution(s) to the quadratic equation x squared minus 25 is equal to 0 ?

A
x is equal to 5 and x is equal to negative 5
B
x is equal to 25 and x is equal to negative 25
C
x is equal to 125 and x is equal to negative 125
D
no real solution
2
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What are the solution(s) to the quadratic equation 9 x squared is equal to 4 ?

A
x is equal to 4 ninths and x is equal to negative 4 ninths
B
x is equal to 2 thirds and x is equal to negative 2 thirds
C
x is equal to 3 halves and x is equal to negative 3 halves
D
no real solution
3

What are the solution(s) to the quadratic equation 50 minus x squared is equal to 0 ?

A
x is equal to plus or minus 2 square root of 5
B
x is equal to plus or minus 6 square root of 3
C
x is equal to plus or minus 5 square root of 2
D
no real solution
4

What is the first step in solving the quadratic equation x squared is equal to 9 sixteenths ?

A
Subtract 9 sixteenths from both sides of the equation.
B
Take the square root of both sides of the equation.
C
Square both sides of the equation.
D
Add 9 sixteenths to both sides of the equation.
6

Theo started to solve the quadratic equation (x+2)2−9=−5. He added 9 to both sides and the resulting equation was (x+2)2=4. Next, he took the square root of each side. Which was the resulting equation of that step?

A
x plus 2 is equal to plus or minus 4
B
x plus 2 is equal to plus or minus 8
C
x plus 2 is equal to plus or minus 16
D
x plus 2 is equal to plus or minus 2
7

What are the solutions to the quadratic equation x squared minus 16 is equal to 0 ?

A
x is equal to 2 and x is equal to negative 2
B
x is equal to 16 and x is equal to negative 16
C
x is equal to 4 and x is equal to negative 4
D
x is equal to 8 and x is equal to negative 8
8

What is the first step in solving the quadratic equation x squared minus 40 is equal to 0 ?

A
squaring both sides of the equation
B
adding 40 to both sides of the equation
C
taking the square root of both sides of the equation
D
subtracting 40 from both sides of the equation
9

What are the solutions to the quadratic equation open paren 5 y plus 6 close paren squared is equal to 24 ?

A
y is equal to the fraction with numerator 4 square root of 6 and denominator 5 and y is equal to the fraction with numerator 8 square root of 6 and denominator 5
B
y is equal to the fraction with numerator negative 4 square root of 6 and denominator 5 and y is equal to the fraction with numerator negative 8 square root of 6 and denominator 5
C
y is equal to the fraction with numerator negative 6 plus 2 square root of 6 and denominator 5 and y is equal to the fraction with numerator 6 minus 2 square root of 6 and denominator 5
D
y is equal to the fraction with numerator negative 6 plus 2 square root of 6 and denominator 5 and y is equal to the fraction with numerator negative 6 minus 2 square root of 6 and denominator 5
10

What values of b satisfy 3 times open paren 2 b plus 3 close paren squared is equal to 36 ?

A
b is equal to 9 halves and negative 3 halves
B
b is equal to the fraction with numerator negative 3 plus 2 square root of 3 and denominator 2 and the fraction with numerator negative 3 minus 2 square root of 3 and denominator 2
C
b is equal to the fraction with numerator negative 3 plus 2 square root of 3 and denominator 3 and the fraction with numerator negative 3 minus 2 square root of 3 and denominator 3
D
b is equal to 3 halves and negative 9 halves

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