Question

Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles. What tiles need to be added to both sides to remove the smaller x-coefficient? What tiles need to be added to both sides to remove the constant from the right side of the equation?

Answer 1

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Answer 2

a) Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) Adding -4 on both sides will remove the constant from the right side of the equation

Explanation:

Given equation:

5x + (−2) = 6x + 4

a) What tiles need to be added to both sides to remove the smaller x-coefficient?

Smaller x-coefficient is 5x to remove the smaller x-coefficient

So, Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) What tiles need to be added to both sides to remove the constant from the right side of the equation?

the constant on right side is 4

Adding -4 on both sides will remove the constant from the right side of the equation