10
AssignmentMultiple Select

Unit Test

Question 10 • NC-Foundations of Math 1 (Fall) [1st 9 Weeks]

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

Answer
A
Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side.
B
Add 11 positive x-tiles to both sides of the equation to create a zero pair on the right side.
C
Add 4 positive unit tiles to both sides of the equation to create a zero pair on the right side.
D
Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side.
E
Divide both groups by 3.
F
The solution is x = 3.

Explanation

Add 8 negative x-tiles to each side; the 8 positive x-tiles on the left pair with them to make zero, so A is true. Then add 5 negative unit tiles to each side to cancel the 5 positive units on the right, making D true. This leaves −9 = 3x, so divide both sides by 3 to get x = −3; E is true and F is false.

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