Answers NC-Foundations of Math 1 Fall 1st 9 WeeksUnit Test

Modeling with Variables on Both Sides Answers

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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?

In step 1, he should have added 4 positive x-tiles to both sides.

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

In step 2, he should have added 4 negative unit tiles to both sides.

In step 2, he should have added 1 positive unit tile to both sides.

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

Add 4 positive unit tiles to each side.

Remove 4 unit tiles from each side.

Add 6 positive unit tiles to each side.

Remove 6 unit tiles from each side.

What do the three red tiles in the model of the equation below represent?

–3

–3x

Jenny is solving the equation using algebra tiles. She cannot decide if she should add 3 negative x-tiles or add 2 negative unit tiles to both sides first. Which explains which Jenny should do first?

She should add 3 negative x-tiles first because that is the only way to isolate the variable.

She should add 2 negative unit tiles first because that is the only way to get to the correct solution.

She can do either one first because zero pairs will be created to isolate the variable either way.

She should do neither one first because the first step is to add 4 negative tiles to both sides.

The model below represents an equation.Which represent like terms in the model of the equation?

2 long x tiles and 3 square 1 tiles

2 long x tiles and 3 long x tiles

3 long x tiles and 3 square 1 tiles

1 long x tile and 1 square 1 tile

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

x = negative 14

x = negative 2

x = 2

x = 14

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?

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

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

In step 3, she did not divide the tiles evenly.

In step 4, she should have found the solution .

Which model represents the equation below?

3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles

4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles

4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles

4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles

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

Add 4 negative unit tiles to both sides.

Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.

Add 4 positive unit tiles to both sides.

Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.

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?

He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side.

He wanted to combine more negative tiles with the 4 negative tiles on the left side of the equation.

He wanted to remove the larger coefficient on the left side of the equation.

He wanted to have 10 x-tiles on the left side of the equation.

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Modeling with Variables on Both Sides Answers

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