AnswersFL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Square Root Property

Lesson 9.5: Solving Quadratic Equations: Completing the Square (Continued) Answers

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Maya is solving the quadratic equation by completing the square.4x2 + 16x + 3 = 0

A
Isolate the variable x2.
B
Subtract 16x from both sides of the equation.
C
Isolate the constant.
D
Factor 4 out of the variable terms.
2
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Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9?

A
x = –5.25
B
x = –2.25
C
x = –1.25
D
x = –0.25
3

The first few steps in solving the quadratic equation 9x2 + 49x = 22 − 5x by completing the square are shown.9x2 + 49x = 22 − 5x9x2 + 54x = 229(x2 + 6x) = 22

A
9(x2 + 6x + 3) = 25
B
9(x2 + 6x + 3) = 49
C
9(x2 + 6x + 9) = 31
D
9(x2 + 6x + 9) = 103
4

What are the zeros of the quadratic function f(x) = 6x2 + 12x – 7?

A
x = –1 – and x = –1 +
Option A
B
x = –1 – and x = –1 +
Option B
C
x = –1 – and x = –1 +
Option C
D
x = –1 – and x = –1 +
Option D
5

Lie is solving the quadratic equation by completing the square.3x2 + 18x – 8 = 0 3x2 + 18x = 8

A
Write the polynomial as a binomial squared.
B
Factor 3 out of the variable terms.
C
Isolate the variable x.
D
Add 8 to both sides of the equation.
6

What are the zeros of the quadratic function f(x) = 8x2 – 16x – 15?

A
x = –1 – and x = –1 +
Option A
B
x = –1 – and x = –1 +
Option B
C
x = 1 – and x = 1 +
Option C
D
x = 1 – and x = 1 +
Option D
7

What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?

A
x = –4 – and x = –4 +
Option A
B
x = –4 – and x = –4 +
Option B
C
x = –4 – and x = –4 +
Option C
D
x = –4 – and x = –4 +
Option D
8

Gio is solving the quadratic equation by completing the square.5x2 + 15x – 4 = 0

A
Isolate the constant.
B
Factor 5 out of the variable terms.
C
Isolate the variable x.
D
Add 9 to both sides of the equation.
9

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

Question illustration
A
8(x2 + 2x + 1) = –3 + 8
B
x = –1
Option B
C
x = –1
Option C
D
8(x2 + 2x + 1) = 3 + 1
E
8(x2 + 2x) = –3
10

Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table.

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4

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