Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRUnit Test

Multiplying Linear Expressions Answers

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Arianna correctly simplified an expression. When she substituted into the simplified expression, the value was –4. Which could be Arianna’s original expression?

Question illustration
A
One-sixth (negative 3 x minus 24)
Option A
B
One-sixth (negative 5 x minus 8)
Option B
C
One-sixth (negative 10 x minus 4)
Option C
D
One-sixth (negative 12 x minus 16)
Option D
2
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Pablo is simplifying the expression below.He used the steps below to simplify the expression.Which statement is true about the steps that Pablo used to simplify the expression?

Question illustration
A
He combined like terms inside the parentheses, distributed over , and then combined the remaining like terms.
Option A
B
He combined like terms inside the parentheses, distributed over , and then combined the remaining like terms.
Option B
C
He distributed over , distributed 1 over , and then combined like terms.
Option C
D
He distributed over , distributed –1 over , and then combined like terms.
Option D
3

Jaleel and Lisa are simplifying the expression as shown.Jaleel’s MethodLisa’s MethodWhose method is correct and why?

Question illustration
A
Lisa’s method is correct because equals .
Option A
B
Lisa’s method is correct because equals .
Option B
C
Jaleel is correct because equals .
Option C
D
Jaleel is correct because equals .
Option D
4

What is the simplified expression for the expression below?

Question illustration
A
–2x + 3
B
–2x – 3
C
–2x – 8
D
–2x + 8
5

Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluates each one. How will she know if 5(3x – 6) is equivalent to 15x – 30?

A
They are equivalent if the two values are the same.
B
They are equivalent if the value for 5(3x + 6) is greater.
C
They are equivalent if the value for 15x + 30 is greater.
D
They are equivalent if one value is negative and the other value is positive.
6

Which expression is equivalent to 6(x – 4)?

A
–6x + 4
B
6x – 4
C
6x – 24
D
–6x + 24
7

What is the simplified expression for the expression below? 7(x – 4) – 3(x + 5)

A
4x – 43
B
4x + 1
C
4x – 13
D
4x – 9
8

What is the simplified expression for the expression below? 4(3x – 2) + 6x(2 – 1)

A
24x – 3
B
18x – 8
C
18x – 7
D
24x – 14
9

Darren and Quincy wanted to justify that the expression is equivalent to . Their justifications are shown below.Darren’s Method: Substitute 2 into both expressionsQuincy’s Method: Substitute 6 into both expressionsWhich explains who is correct?

Question illustration
A
Only Darren is correct because he substituted x = 2 into the expressions.
B
Only Quincy is correct because he substituted a number that is the same as the denominator of one of the fractions.
C
Both are correct because after substituting the same value into both expressions, the result is the same.
D
Both are correct because they substituted different values into each expression.
10

Pierre correctly simplified an expression. When he substituted into the simplified expression, the value was 20. Which could be Pierre’s original expression?

Question illustration
A
2(7x – 4)
B
2(x – 19)
C
2(x + 10)
D
2(5x + 1)

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