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

Solving Multistep Equations with Variables on Both Sides Answers

2 verified answers1 views
1
Free Preview

What is the value of x in the equation ?

Question illustration
A
1
B
3
C
4
D
6
2
Free Preview

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?

Question illustration
A
She distributed incorrectly.
B
She incorrectly combined like terms.
C
She incorrectly applied the addition and subtraction properties of equality.
D
She incorrectly applied the multiplication and division properties of equality.
3

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

Question illustration
A
8 x + 3 + 4 = 3 x minus 2 x + 4
Option A
B
8 x + 6 + 4 = 3 x minus 2 x minus 4
Option B
C
6 x + 5 + 4 = 3 x minus x + 3
Option C
D
6 x + 3 + 4 = 3 x minus x + 4
Option D
4

What is the solution to the equation ?x =

Question illustration
Answer not available
5

What is the value of x in the equation ?

Question illustration
A
5
B
StartFraction 11 Over 2 EndFraction
Option B
C
StartFraction 13 Over 2 EndFraction
Option C
D
7
6

What is the solution to the equation ?

Question illustration
A
x = –13
B
x =
Option B
C
x =
Option C
D
x = 3
7

What is the solution to the equation ?

Question illustration
A
x = –10
B
x = –8
C
x =
Option C
D
x =
Option D
8

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

Question illustration
A
Combine like terms, 3 and 5, on the right side of the equation.
B
Distribute 2 to (x + 6) and 3 to (x – 4).
C
Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.
D
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
9

What is the solution to the equation ?

Question illustration
A
x = 0
Option A
B
x = 4
Option B
C
x = 5
Option C
D
x = 15
Option D
10

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?

Question illustration
A
Jorge distributed incorrectly.
B
Jorge incorrectly combined like terms.
C
Jorge incorrectly applied the addition and subtraction properties of equality.
D
Jorge incorrectly applied the multiplication and division properties of equality.

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Using Graphs to Determine the Number of Solutions

Quiz
5 verified answers

Writing and Solving Systems

Quiz
3 verified answers

Multiplying Linear Expressions