AnswersAlgebra Concepts and ConnectionsSolving Quadratic Equations: Square Root Property

Solving Quadratic Equations: Square Root Property — Quiz Answers

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1
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What were the dimensions of the original photo?

A
3 plus 4 square root of 2 inches by 3 plus 4 square root of 2 inches
B
11 inches by 11 inches
C
3 minus 4 square root of 2 inches by 3 minus 4 square root of 2 inches
D
5 inches by 5 inches
2
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What were the dimensions of the original lawn?

A
4 feet by 4 feet
B
8 plus 6 square root of 2 feet by 8 plus 6 square root of 2
C
20 feet by 20 feet
D
8 minus 6 square root of 2 feet by 8 plus 6 square root of 2
3

What are the solutions to the quadratic equation 4 x squared is equal to 64 ?

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

Thomas is solving the quadratic equation 4⁢(x−2)2+9=25 using the square root property. The table shows the steps Thomas takes to solve the equation. Complete the table. Enter your answers in the boxes.

Answer:

16|4|2|0|4

5

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 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
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 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
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
6

What are the solution(s) to the quadratic equation 40 minus x squared is equal to 0 ?

A
x is equal to plus or minus 4 square root of 10
B
x is equal to plus or minus 2 square root of 10
C
x is equal to plus or minus 4 square root of 5
D
x is equal to plus or minus 2 square root of 5
7

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
8

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

A
x is equal to 16 and x is equal to negative 16
B
x is equal to 2 and x is equal to negative 2
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
9

Which are the roots of the quadratic function f of b is equal to b squared minus 75 ? Choose two correct answers.

A
b is equal to negative 5 square root of 3
B
b is equal to negative 3 square root of 5
C
b is equal to 5 square root of 3
D
b is equal to 25 square root of 3
E
b is equal to 3 square root of 5
10

What are the solutions to the quadratic equation 3 times open paren x minus 4 close paren squared is equal to 75 ?

A
x is equal to negative 9 and x is equal to 1
B
x is equal to negative 1 and x is equal to 9
C
x is equal to negative 4 and x is equal to 4
D
x is equal to negative 5 and x is equal to 5

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