# SOLVING EQUATIONS WITH ALGEBRA TILES WORKSHEET

## About "Solving equations with algebra tiles worksheet"

Solving equations with algebra tiles worksheet :

Here we are going to see some practice questions on solving equations with algebra tiles.

## Solving equations with algebra tiles worksheet - Practice questions

(1)  Solve the following equation using algebra tiles

x + 4  =  -6

(2)  Solve the following equation using algebra tiles

x - 4  =  -8

(3)  Solve the following equation using algebra tiles

-2x + 4  =  6

(4)  Solve the following equation using algebra tiles

x - 5  =  3

## Tiles used to model the given equation

Question 1 :

Solve the following equation using algebra tiles

x + 4  =  -6

Solution :

First let us model the above equation using algebra tiles.

For that we need to arrange one green rectangle tile, four yellow square tiles in the left side and six red square tiles in the right side.

Modeling the above equation :

In order to isolate one green rectangle tile on the left side, we need to use four red square tiles on both sides.

In the left side, we have only one rectangle green tile and in right side, we have ten square red tiles.

Hence the value of x is -10.

Question 2 :

Solve the following equation using algebra tiles

x - 4  =  -8

Solution :

First let us model the above equation using algebra tiles.

For that we need to arrange one green rectangle tile, four red square tiles in the left side and eight red square tiles in the right side.

Modeling the above equation :

In order to isolate one green rectangle tile on the left side, we need to use four yellow square tiles on both sides.

In the left side, we have only one rectangle green tile and in right side, we have four square red tiles.

Hence the value of x is -4.

Question 3 :

Solve the following equation using algebra tiles

-2x + 4  =  6

Solution :

First let us model the above equation using algebra tiles.

For that we need to arrange two red rectangle tiles, four yellow square tiles in the left side and six yellow square tiles in the right side.

Modeling the above equation :

In order to remove yellow square tiles on the left side, we need to use four red square tiles on both sides

The value of -x is 1.

Hence the value of x is -1

Question 4:

Solve the following equation using algebra tiles

x - 5  =  3

Solution :

First let us model the above equation using algebra tiles.

For that we need to arrange green rectangle tile, five red square tiles in the left side and three yellow square tiles in the right side.

Modeling the above equation :

In order to remove yellow square tiles on the left side, we need to use four red square tiles on both sides

In the left side, we have only one rectangle green tile and in right side, we have ten square red tiles.

Hence the value of x is 10.

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