AnswersPA PCS Math 1 2026 Fall Sem XRQuadratic Functions: Standard Form

Quadratic Functions: Standard Form — Unit test Answers

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Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

A
The equation has one solution: x = 0.
B
The equation has one solution: x = 8.
C
The equation has no solution.
D
The equation has infinite solutions.
2
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Step 1: –10 + 8x < 6x – 4Step 2: –10 < –2x – 4Step 3: –6 < –2xStep 4: ________

A
x < –3
B
x > –3
C
x < 3
D
x > 3
3

Which situation could be represented by the graph?

Question illustration
A
Students in the children’s choir are at least 8 years old but no more than 11 years old.
B
Babysitters earn between $8 and $11 per hour.
C
A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.
D
The dogs at a veterinary clinic are all 8 years old or under or are older than 11 years.
4

The given line segment has a midpoint at (3, 1).

Question illustration
A
y = x
Option A
B
y = x – 2
Option B
C
y = 3x
D
y = 3x − 8
5

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

A
–12 – 20x ≤ –6x + 9
B
–12 – 20x ≥ –6x + 9
C
–12 + 20x ≤ –6x + 9
D
–12 + 20x ≥ –6x + 9
6

A given line has the equation .What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

What is the solution to the linear equation?6k + 10.5 = 3k + 12

A
k = 0.5
B
k = 2
C
k = 7.3
D
k = 9
8

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

Question illustration
A
(–4, 1)
B
(1, –2 )
C
(2, 0)
D
(4, 4)
9

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
10

In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How can this be written as a single compound inequality?

A
7 < h < 9
B
7 > h > 9
C
h 9
D
h > 7 or h < 9
11

Solve the equation.y + 3 = –y + 9

A
y = 1
B
y = 3
C
y = 6
D
y = 9
12

Which input value produces the same output value for the two functions on the graph?

Question illustration
A
x = –3
B
x = –1
C
x = 1
D
x = 3
13

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

A
0.2 inches
B
4.5 inches
C
46.1 inches
D
414.7 inches

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