Answers2025-2026 TPS CR Algebra 1 AUnit Test

Unit Test — Unit test Answers

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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
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

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?

A
x – 0.3 = 4.9 and x – 0.3 = –4.9
B
x + 0.3 = 4.9 and x + 0.3 = –4.9
C
x + 4.9 = 0.3 and x + 4.9 = –0.3
D
x – 4.9 = 0.3 and x – 4.9 = –0.3
4

What is the value of p in the linear equation ?

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

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

A
zero
B
one
C
two
D
infinitely many
6

Which compound inequality is represented by the graph?

Question illustration
A
x < –4 or x ≥ 3
B
x < –4 and x ≥ 3
C
x ≤ –4 or x < 3
D
x ≤ –4 and x < 3
7

What is the solution for the equation?

Question illustration
A
n = Negative StartFraction 13 over 4 EndFraction
Option A
B
n = negative start Fraction 7 over 4 EndFraction
Option B
C
n = StartFraction 7 over 4 EndFraction
Option C
D
n = StartFraction 13 over 4 EndFraction
Option D
8

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
9

Katya cut part of the jump rope off to make it shorter. The new length is feet. The difference between the original length and the new length is foot. The equation can be used to represent this problem, where x is the original length of the rope. What was the original length of the rope?

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

What property was applied to solve the equation below?

Question illustration
A
Addition Property of Equality
B
Subtraction Property of Equality
C
Multiplication Property of Equality
D
Division Property of Equality
11

What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?

A
–6
B
–5
C
5
D
6
12

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
13

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

A
0.8 = 0.8
B
–0.8 = –0.8
C
3 = 3
D
–3 = –3
14

The formula for the area of a triangle is , where b is the length of the base and h is the height.Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

Question illustration
A
3 units
B
5 units
C
8 units
D
9 units
15

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

A
x – 55 = 4.2
B
x – 55 = –4.2
C
x + 55 = 4.2
D
x + 55 = –4.2

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