AnswersAlgebra Concepts and ConnectionsModeling and Analyzing Quadratic Functions: Quadratic Equations

Practice Test Answers

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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 29
B
0 point 5 x open paren x plus 5 close paren is equal to 841
C
x squared plus open paren x plus 5 close paren squared is equal to 29
D
x squared plus open paren x plus 5 close paren squared is equal to 841
3

Between which two ordered pairs does the graph of f⁡(x)=12⁢x2+x−9 cross the negative x-axis? 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
negative 3 comma 0 and negative 2 comma 0
B
negative 2 comma 0 and negative 1 comma 0
C
negative 4 comma 0 and negative 3 comma 0
D
negative 6 comma 0 and negative 5 comma 0
4

Which equation has an A -value of negative 2 , a b -value of 1 , and a c -value of 3 ?

A
0 is equal to 2 x squared plus x plus 3
B
0 is equal to negative 2 x squared plus x plus 3
C
0 is equal to 2 x squared minus x plus 3
D
0 is equal to negative 2 x squared plus 3
5

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 w plus 5 close paren is equal to 50
B
w times open paren 2 w plus 5 close paren is equal to 50
C
2 w 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
6

Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is −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
m squared minus 100 is equal to negative 99
C
open paren m minus 5 close paren times open paren m plus 5 close paren is equal to 99
D
m squared minus 25 is equal to negative 99
7

Sergey is solving 5 x squared plus 20 x minus 7 is equal to 0 Which steps could he use to solve the quadratic equation by completing the square? Choose three correct answers.

A
x plus 2 is equal to plus or minus square root of 27 fifths
B
5 times open paren x squared plus 4 x plus 4 close paren is equal to 7 plus 20
C
5 times open paren x squared plus 4 x close paren is equal to negative 7
D
5 times open paren x squared plus 4 x plus 4 close paren is equal to negative 7 plus 20
E
5 times open paren x squared plus 4 x close paren is equal to 7
8

Fiona is completing the square to solve the polynomial equation. x squared minus 4 x plus 1 is equal to 0 What should be her first step?

A
isolating the second term, negative 4 x
B
isolating the constant 1
C
adding 1 to both sides of the equation
D
adding 4 to both sides of the equation
10

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 negative 10 over 3
B
b is equal to 2 thirds and b is equal to 3
C
b is equal to 2 thirds and b is equal to negative 2
D
b is equal to 2 and b is equal to 10 thirds
11

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 7 and x is equal to 11
D
x is equal to negative 11 and x is equal to 7
12

Solve x squared plus 6 x is equal to 7 by completing the square. Which is the solution set of the equation?

A
start set 1 comma 7 end set
B
start set negative 3 minus square root of 10 comma negative 3 plus square root of 10 end set
C
start set 3 minus square root of 10 comma 3 plus square root of 10 end set
D
start set negative 7 comma 1 end set
14

Using the Completing the Square method, what are the zeros of the quadratic function f of x is equal to 2 x squared plus 8 x minus 3 ?

A
x is equal to 2 minus square root of 11 halves and x is equal to 2 plus square root of 11 halves
B
x is equal to negative 2 minus square root of 11 halves and x is equal to negative 2 plus square root of 11 halves
C
x is equal to 2 minus square root of 7 halves and x is equal to 2 plus square root of 7 halves
D
x is equal to negative 2 minus square root of 7 halves and x is equal to negative 2 plus square root of 7 halves

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