Solving Multi-Step Equations with Distribution

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

What does distribution mean in algebra?

Back

Distribution in algebra refers to the distributive property, which states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you apply the distributive property to the expression 2(4x - 4)?

Back

You multiply 2 by each term inside the parentheses: 2 * 4x = 8x and 2 * -4 = -8, resulting in 8x - 8.

Front

What is the first step in solving the equation 3x + 2(4x - 4) = 3?

Back

The first step is to apply the distributive property to simplify the equation, resulting in 3x + 8x - 8 = 3.

Front

How do you combine like terms in the equation 3x + 8x - 8 = 3?

Back

You add the coefficients of the like terms: 3x + 8x = 11x, resulting in 11x - 8 = 3.

Front

What is the next step after combining like terms in the equation 11x - 8 = 3?

Back

You add 8 to both sides of the equation to isolate the term with x, resulting in 11x = 11.

Front

How do you solve for x in the equation 11x = 11?

Back

You divide both sides of the equation by 11, resulting in x = 1.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Front

How do you apply the distributive property to the expression -4(v + 8)?

Back

You multiply -4 by each term inside the parentheses: -4 * v = -4v and -4 * 8 = -32, resulting in -4v - 32.

Front

What is the first step in solving the equation 8v - 4v - 32 = 8?

Back

Combine like terms: 8v - 4v = 4v, resulting in 4v - 32 = 8.