AnswersAlgebra Concepts and ConnectionsModeling and Analyzing Quadratic Functions: Quadratic Equations

Modeling and Analyzing Quadratic Functions: Quadratic Equations — Test Answers

25 verified answers
1
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What error did Zacharias make?

A
The 5 squared should be negative 5 squared .
B
The negative 5 should be 5 .
C
The 2 in the denominator should be negative 2 .
D
The 2 in the numerator should be negative 2 .
2
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The product of two consecutive integers is 420 Which quadratic equation can be used to find x , the lesser number?

A
x squared plus x is equal to 420
B
x squared plus 2 is equal to 420
C
x squared plus 1 is equal to 420
D
x squared plus 2 x is equal to 420
4

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 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
B
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
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
7

Which equation results from taking the square root of both sides of open paren x minus 9 close paren squared is equal to 81 ?

A
x plus 9 is equal to plus or minus 9
B
x plus 3 is equal to plus or minus 9
C
x minus 3 is equal to plus or minus 9
D
x minus 9 is equal to plus or minus 9
8

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 3 and 1 third
B
x is equal to 6 and 1 third
C
x is equal to 1 third
D
x is equal to 9 and 1 third
10

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 plus 2 is equal to 168
D
l times l minus 2 is equal to 168
11

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 2 x is equal to 42
B
x squared plus 2 x plus 42 is equal to 0
C
x squared plus x plus 42 is equal to 0
D
x squared plus x is equal to 42
13

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 5 , b is equal to negative 4 , 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 4 , b is equal to negative 5 , c is equal to negative 2
14

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
15

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 19 comma 4 plus square root of 19 end set
C
start set 4 minus square root of 11 comma 4 plus square root of 11 end set
D
start set 4 minus square root of 3 comma 4 plus square root of 3 end set
16

What is the solution to 2 x squared plus 8 x is equal to x squared minus 16 ?

A
x is equal to 2
B
x is equal to 4
C
x is equal to negative 2
D
x is equal to negative 4
17

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 3 times 243
C
4 w squared is equal to 243
D
3 w squared is equal to 243
18

What are the zeros of the function f of x is equal to x squared plus 5 x plus 5 written in simplest radical form? Quadratic formula: x is equal to the fraction with numerator negative b plus or minus square root of b squared minus 4 A c end root and denominator 2 A

A
x is equal to the fraction with numerator negative 5 plus or minus 10 square root of 5 and denominator 2
B
x is equal to the fraction with numerator 5 plus or minus square root of 5 and denominator 2
C
x is equal to the fraction with numerator negative 5 plus or minus square root of 5 and denominator 2
D
x is equal to the fraction with numerator 5 plus or minus 10 square root of 5 and denominator 2

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