AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Unit Test

Unit Test — Unit test Answers

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1
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How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

A
zero
B
one
C
two
D
infinitely many
2
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The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

A
6 sides
B
7 sides
C
8 sides
D
9 sides
3

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

A
9.25 cm
B
9.7 cm
C
12.75 cm
D
18.5 cm
4

What is the value of p in the linear equation ?

Question illustration
A
−4
B
−2
C
2
D
4
5

What is the solution to the equation ?

Question illustration
A
h = –4
B
h = –2
C
h = 2
D
h = 4
6

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Question illustration
A
(10h + 60) = (10h)
Option A
B
(10h + 60h) = (10h)
Option B
C
h(10 + 60) = h(10)
Option C
D
(10 + 60h) = (10h)
Option D
7

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

A
(x + 30 + 60) = x
Option A
B
(x) = x(30 + 60)
Option B
C
x(30 + 60) = x
Option C
D
(x) = (30 + 60)
Option D
8

Question text not available

Question illustration
A
−2
B
Option
Option B
C
Option
Option C
D
2
9

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the point (–12, 10)?

Question illustration
A
y = x – 6
Option A
B
y = x + 6
Option B
C
y = x + 26
Option C
D
y = x + 10
Option D
10

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

A
(–∞, –3]
B
[–3, ∞)
C
(–∞, 15]
D
[15, ∞)
11

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

A
6 + 2(x + 4) = (3 – x)
Option A
B
6 + 2(x + 4) = (x – 3)
Option B
C
(6 + 2)(x + 4) = (3 – x)
Option C
D
(6 + 2)(x + 4) = (x – 3)
Option D
12

What is the slope of a line that is perpendicular to the line x = –3?

A
–3
B
0
C
Option
Option C
D
undefined
13

What is the value of this expression when and ?

Question illustration
Answer not available
14

What is the solution to –4(8 – 3x) ≥ 6x – 8?

A
x ≥ –
Option A
B
x ≤ –
Option B
C
x ≥ 4
D
x ≤ 4
15

A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?

A
5 feet
B
15 feet
C
27 feet
D
32 feet

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