Answers2026 Summer 305 Edgenuity CR_Grade 8 Pre-Algebra_MathModeling with Variables on Both Sides

Modeling with Variables on Both Sides Answers

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1
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Girardo is using the model below to solve the equation .Girardo uses the following steps:Step 1Add 4 negative x-tiles to both sidesStep 2Add 1 negative unit tile to both sidesStep 3The solution is Which step could be adjusted so that Gerardo's final step results in a positive x-value?

Question illustration
A
In step 1, he should have added 4 positive x-tiles to both sides.
B
In step 1, he should have added 3 negative x-tiles to both sides.
C
In step 2, he should have added 4 negative unit tiles to both sides.
D
In step 2, he should have added 1 positive unit tile to both sides.
2
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Bernard solved the equation using algebra tiles. Which explains why Bernard added 5 negative x-tiles to both sides in the first step of the solution?

Question illustration
A
He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side.
B
He wanted to combine more negative tiles with the 4 negative tiles on the left side of the equation.
C
He wanted to remove the larger coefficient on the left side of the equation.
D
He wanted to have 10 x-tiles on the left side of the equation.
3

Which equation is modeled below?

Question illustration
A
Negative x + 1 = 2 x + 3
Option A
B
x + (negative 1) = 2 x + 3
Option B
C
x + (negative 1) = 3 x + 2
Option C
D
Negative 2 x = 2 x + 3
Option D
4

Val says that the model below represents the equation .Tia says that the model represents the equation .Who is correct, Val or Tia?

Question illustration
A
Only Val is correct.
B
Only Tia is Correct.
C
Both Val and Tia are correct.
D
Neither Val nor Tia is correct.
5

Which is the correct way to model the equation using algebra tiles?

Question illustration
A
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
B
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
C
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
D
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative x-tiles and 7 positive unit tiles on the right side
6

Which equation is modeled below?

Question illustration
A
Negative 2 x + 3 = 4 x + 2
Option A
B
Negative 2 x + 3 = x + 4
Option B
C
3 x + 2 = 2 x + 4
Option C
D
3 x + (negative 2) = 2 x + 4
Option D
7

What is the solution to the equation represented by the model below?

Question illustration
A
x = negative 14
Option A
B
x = negative 2
Option B
C
x = 2
Option C
D
x = 14
Option D
8

Which could be the first step in solving the equation represented by the model below?

Question illustration
A
Add 4 negative unit tiles to both sides.
B
Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C
Add 4 positive unit tiles to both sides.
D
Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
9

Which is the correct way to model the equation using algebra tiles?

Question illustration
A
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
B
6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side
C
5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
D
5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
10

Sherry uses the steps below to solve the equation .Step 1Add 1 negative x-tile to both sides and create zero pairsStep 2Add 8 positive unit tiles to both sides and create zero pairs.Step 3Divide the 14 unit tiles evenly among the 2 x-tiles.Step 4The solution is What is Sherry’s error?

Question illustration
A
In step 1, she should have added 3 negative x-tiles to both sides.
B
In step 2, she should have added 6 negative unit tiles to both sides.
C
In step 3, she did not divide the tiles evenly.
D
In step 4, she should have found the solution .
Option D

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