AnswersNY-Algebra I Term 2 HillcrestSolving Linear-Quadratic Systems

Solving Linear-Quadratic Systems — Unit test Answers

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1
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Which is a solution to the equation?(x − 3)(x − 5) = 35

A
x = −8
B
x = −5
C
x = 2
D
x = 10
2
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What values of b satisfy 4(3b + 2)2 = 64?

A
b = and b = –2
Option A
B
b = 2 and b =
Option B
C
b = and b = 3
Option C
D
b = 2 and b =
Option D
3

The first three steps in determining the solution set of the system of equations algebraically are shown in the table.y = −x2 +2x − 9 y = −6x + 6

Question illustration
A
(5, −24) and (3, −12)
B
(5, 36) and (3, 24)
C
(−5, −24) and (−3, 12)
D
(−5, 36) and (−3, 24)
4

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Question illustration
A
{–7, 1}
B
(negative 3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
C
(3 minus StartRoot 10 EndRoot comma negative 3 + StartRoot 10 EndRoot)
D
{1, 7}
5

The first two steps in determining the solution set of the system of equations, y = –x2 + 4x + 12 and y = –3x + 24, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

Question illustration
A
(3, 15)
B
(–4, 36)
C
(3, 15) and (4, 12)
D
(–3, 33) and (–4, 36)
6

Which graph shows a system of equations with a solution at (2, –1)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

What are the solutions to m2 – 9 = 0?

m
m = –9 and m = 0
m
m = –3 and m = 3
m
m = –3
m
m = 9
8

Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

A
{–22, 14}
B
{–14, 22}
C
{–10, 2}
D
{–2, 10}
9

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

A
The discriminant is −55, so the equation has 2 real solutions.
B
The discriminant is −55, so the equation has no real solutions.
C
The discriminant is 73, so the equation has 2 real solutions.
D
The discriminant is 73, so the equation has no real solutions.
10

Fiona is completing the square to solve the polynomial equation.x2 – 4x + 1 = 0

A
isolating the constant 1
B
adding 4 to both sides of the equation
C
isolating the second term, –4x
D
adding 1 to both sides of the equation
11

What are the solutions to the quadratic equation 4(x + 2)2 = 36

A
x = −11 and x = 7
B
x = −7 and x = 11
C
x = −5 and x = 1
D
x = −1 and x = 5
12

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

A
8 inches by 8 inches
B
9 inches by 9 inches
C
12 inches by 12 inches
D
13 inches by 13 inches
13

What is a solution to (x + 6)(x + 2) = 60?

A
x = −6
B
x = −4
C
x = 4
D
x = 12
14

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation?

A
{2, 40}
B
{4, 20}
C
{5, 16}
D
{8, 10}
15

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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