AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Unit Test

Unit Test — Test Answers

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1
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If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

Question illustration
A
–439
B
–141
C
153
D
443
2
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Let and . The graph of is shown below. What is the range of ?

Question illustration
A
y > 0
B
all real numbers except y = 0
C
Option
Option C
D
all real numbers
3

If , , and , what is ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

Question illustration
A
x3 – x2
B
–x3 + x2
C
–x3 + x2 – 1
D
x3 – x2 + 1
5

If f(x) = 7 + 4x and , what is the value of ?

Question illustration
A
Eleven-halves
Option A
B
StartFraction 27 Over 10 EndFraction
Option B
C
160
D
270
6

If and , what is the domain of ?

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

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

Question illustration
A
4x3 + 18x2 – 10x
B
x2 + 9x – 2
C
16x2 + 4x – 6
D
4x2 + 20x – 2
8

If and , which of the following is the graph of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

If a(x) = 3x + 1 and , what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Let and . What are the domain and range of ?

Question illustration
A
domain: x > 0range: y < 0
B
domain: x > 3range: y > 0
C
domain: all real numbersrange: y < 0
D
domain: all real numbersrange: y > 0
11

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

A
(ab)(x)
B
(StartFraction a Over b EndFraction) (x)
Option B
C
(a – b)(x)
D
(a + b)(x)
12

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

A
(f + g)(x) 3 for all values of x
Option A
B
(f + g)(x) 3 for all values of x
Option B
C
(f + g)(x) 6 for all values of x
Option C
D
(f + g)(x) 6 for all values of x
Option D
13

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

A
–196
B
–168
C
22
D
78
14

If p(x) = 2x2 – 4x and q(x) = x – 3, what is ?

Question illustration
A
2x2 – 4x + 12
B
2x2 – 16x + 18
C
2x2 – 16x + 30
D
2x2 – 16x + 15
15

If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?

Question illustration
A
StartFraction 3 (6) minus 1 Over 2 (6) + 1 EndFraction
Option A
B
StartFraction (6) Over 2 (6) + 1 EndFraction
Option B
C
StartFraction 36 minus 1 Over 26 + 1 EndFraction
Option C
D
StartFraction (6) minus 1 Over (6) + 1 EndFraction
Option D
16

If and g(x) = 5x – 4, what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

Question illustration
A
The leading coefficients of f(x) and g(x) are opposites.
B
The leading coefficients of f(x) and g(x) are opposite reciprocals.
C
The leading coefficients of f(x) and g(x) are the same.
D
The leading coefficients of f(x) and g(x) are reciprocals.
18

Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

If f(x) = 3 – 2x and , what is the value of ?

Question illustration
A
–169
B
–1
C
13
D
104
20

Let and . The graph of is shown below. What is the domain of ?

Question illustration
A
x 0
Option A
B
all real numbers except x 0
Option B
C
x 0
Option C
D
all real numbers

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