Answers 2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRUnit Test

Solving Multistep Equations with Variables on Both Sides Answers

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What is the value of x in the equation ?

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Antoinette solves the linear equation using the steps shown below. Step 1: Step 2: Step 3: Step 4: She checks her solution by substituting –7 for x in the original equation. She determines that her answer is incorrect. Which best describes Antoinette’s error?

She distributed incorrectly.

She incorrectly combined like terms.

She incorrectly applied the addition and subtraction properties of equality.

She incorrectly applied the multiplication and division properties of equality.

In order to solve for the variable in the equation , Giovanni first applies the distributive property. Which equation is a result of this step?

8 x + 3 + 4 = 3 x minus 2 x + 4

8 x + 6 + 4 = 3 x minus 2 x minus 4

6 x + 5 + 4 = 3 x minus x + 3

6 x + 3 + 4 = 3 x minus x + 4

What is the solution to the equation ?x =

Answer not available

What is the value of x in the equation ?

StartFraction 11 Over 2 EndFraction

StartFraction 13 Over 2 EndFraction

What is the solution to the equation ?

x = –13

x =

x = 3

What is the solution to the equation ?

x = –10

x = –8

x =

Which is a reasonable first step that can be used to solve the equation ?

Combine like terms, 3 and 5, on the right side of the equation.

Distribute 2 to (x + 6) and 3 to (x – 4).

Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.

Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.

What is the solution to the equation ?

x = 0

x = 4

x = 5

x = 15

Jorge solves the equation using the steps below. Step 1: Step 2: Step 3: Step 4: Step 5: Jorge verifies his solution by substituting into the original equation for x. He determines that his solution is incorrect. Which best describes Jorge’s error?

Jorge distributed incorrectly.

Jorge incorrectly combined like terms.

Jorge incorrectly applied the addition and subtraction properties of equality.

Jorge incorrectly applied the multiplication and division properties of equality.

What is the value of x in the equation ?

Answer not available

To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps?