AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Solving Multistep Equations with Variables on Both Sides

Solving Two-Step Inequalities Answers

1 verified answers
1
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Maricella solves for x in the equation . She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?

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A
The multiplication that takes place while distributing comes before addition and subtraction in order of operations.
B
In order to combine like terms on one side of the equation, the inverse operation must be used.
C
When the problem is worked in the correct order, the numbers that Maricella added are not actually like terms.
D
Maricella did not combine all three constants on both sides of the equation; she combined only two.
2
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What is the solution to the equation ?

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A
x = 0
Option A
B
x = 4
Option B
C
x = 5
Option C
D
x = 15
Option D
3

What is the solution to the equation ?x =

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Answer not available
4

What is the value of x in the equation ?

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Answer not available
5

What is the value of x in the equation ?

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A
Negative StartFraction 4 Over 7 EndFraction
Option A
B
StartFraction 28 Over 29 EndFraction
Option B
C
2
D
4
6

What is the value of x in the equation ?

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A
1
B
3
C
4
D
6
7

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

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A
1 minus x + 2 + 2 x = 10 x minus 5 minus x
Option A
B
1 minus x minus 2 + 2 x = 10 x minus 25 minus x
Option B
C
1 minus x minus 1 + 2 x = 10 x minus 25 minus x
Option C
D
1 minus x minus 1 + 2 x = 10 x minus 5 minus x
Option D
8

What is the value of x in the equation ? Write your solution in decimal form.

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Answer not available
9

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.
10

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

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