AnswersAlgebra IQuadratic Equations

Quadratic Equations — Test Answers

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What is the first step in solving the quadratic equation negative 5 x squared plus 8 is equal to 133 ?

A
taking the square root of both sides of the equation
B
squaring both sides of the equation
C
subtracting 8 from both sides of the equation
D
adding 8 to both sides of the equation
3

What are the values of A , b , and c in the quadratic equation 0 is equal to 5 x minus 4 x squared minus 2 ?

A
A is equal to 4 , b is equal to negative 5 , c is equal to negative 2
B
A is equal to 5 , b is equal to 4 , c is equal to 2
C
A is equal to negative 4 , b is equal to 5 , c is equal to negative 2
D
A is equal to 5 , b is equal to negative 4 , c is equal to negative 2
4

A rectangle’s width is 2 meters shorter than its length, l Its area is 168 square meters. Which equation can be used to find the length of the rectangle?

A
2 l squared is equal to 168
B
1 half l squared is equal to 168
C
l times l minus 2 is equal to 168
D
l times l plus 2 is equal to 168
6

A rectangle’s length is three times its width, w Its area is 243 square units. Which equation can be used to find the width of the rectangle?

A
w squared is equal to 3 times 243
B
3 w squared is equal to 243
C
3 w squared is equal to 3 times 243
D
4 w squared is equal to 243
7

A function g of x has x -intercepts at 1 half comma 0 and 6 comma 0 Which could be g of x ?

A
g of x is equal to open paren x minus 6 close paren times open paren 2 x minus 1 close paren
B
g of x is equal to 2 open paren x plus 1 close paren open paren x plus 6 close paren
C
g of x is equal to open paren x plus 6 close paren times open paren x plus 2 close paren
D
g of x is equal to 2 open paren x minus 2 close paren open paren x minus 6 close paren
9

What are the solutions of the quadratic equation open paren x plus 3 close paren squared is equal to 49 ?

A
x is equal to 2 and x is equal to square root of negative 10
B
x is equal to negative 2 and x is equal to negative 16
C
x is equal to 4 and x is equal to negative 10
D
x is equal to 40 and x is equal to negative 58
10

Solve x squared minus 8 x is equal to 3 by completing the square. Which is the solution set of the equation?

A
start set 4 minus square root of 8 comma 4 plus square root of 8 end set
B
start set 4 minus square root of 11 comma 4 plus square root of 11 end set
C
start set 4 minus square root of 3 comma 4 plus square root of 3 end set
D
start set 4 minus square root of 19 comma 4 plus square root of 19 end set
13

The sum of a number and its square is 42 Which equation can be used to find the two numbers for which this is true?

A
x squared plus x plus 42 is equal to 0
B
x squared plus 2 x plus 42 is equal to 0
C
x squared plus 2 x is equal to 42
D
x squared plus x is equal to 42
18

What are the zeros of the quadratic function f of x is equal to 2 x squared minus 10 x minus 3 ?

A
x is equal to 5 halves minus square root of 37 eighths and x is equal to 5 halves plus square root of 37 eighths
B
x is equal to negative 5 halves minus the fraction with numerator square root of 31 and denominator 2 and x is equal to negative 5 halves plus the fraction with numerator square root of 31 and denominator 2
C
x is equal to negative 5 halves minus square root of 37 eighths and x is equal to negative 5 halves plus square root of 37 eighths
D
x is equal to 5 halves minus the fraction with numerator square root of 31 and denominator 2 and x is equal to 5 halves plus the fraction with numerator square root of 31 and denominator 2
20

Which is a zero of the quadratic function f of x is equal to 9 x squared minus 54 x minus 19 ?

A
x is equal to 9 and 1 third
B
x is equal to 3 and 1 third
C
x is equal to 6 and 1 third
D
x is equal to 1 third

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