Question

Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5?

Check all that apply.
Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side.
Add 11 positive x-tiles to both sides of the equation to create a zero pair on the right side.
Add 4 positive unit tiles to both sides of the equation to create a zero pair on the right side.
Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side.
Divide both groups by 3.
The solution is x = 3.

Answer 1

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side.

4. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side.

5. Divide both groups by 3.

Explanation:

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Answer 2

See explanation

Explanation:

You are given the equation
`8x+(-4)=11x+5`

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form

`8x+(-4)+(-8x)=11x+5+(-8x)\\ \\-4=3x+5`

2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is

`-4+(-5)=3x+5+(-5)\\ \\-9=3x`

3. Divide both sides by 3:

`(3x)/(3)=(-9)/(3)\\ \\x=-3`