Solving Linear Equations: Distributive Property Answers

Karissa begins to solve the equation . Her work is correct and is shown below.

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

Solve for x.5(x – 10) = 30 – 15x

Which equation has no solution?

How many solutions exist for the given equation?0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?

How many solutions exist for the given equation?3(x – 2) = 22 – x

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?

How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1

How many solutions exist for the given equation?12x + 1 = 3(4x + 1) – 2