Modeling with Variables on Both Sides

Question 1

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?

Revolt · Accepted Answer

B: In step 1, he should have added 3 negative x-tiles to both sides.

Question 2

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?

Revolt · Accepted Answer

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.

Question 3

Which equation is modeled below?

Revolt · Accepted Answer

A: Negative x + 1 = 2 x + 3

Question 4

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

Revolt · Accepted Answer

C: Both Val and Tia are correct.

Question 5

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

Revolt · Accepted Answer

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

Question 6

Which equation is modeled below?

Revolt · Accepted Answer

D: 3 x + (negative 2) = 2 x + 4

Question 7

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

Revolt · Accepted Answer

C: x = 2

Question 8

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

Revolt · Accepted Answer

A: Add 4 negative unit tiles to both sides.

Question 9

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

Revolt · Accepted Answer

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

Question 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?

Revolt · Accepted Answer

B: In step 2, she should have added 6 negative unit tiles to both sides.

Modeling with Variables on Both Sides Answers

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