PA: 13.distributive property equations

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for x: 3(3x - 6) = 18

Back

x = 4

Front

Solve for x: 8(-x + 7) = -24

Back

x = 10

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Solve for x: -(x - 8) = -2

Back

x = 10

Front

What is the first step in solving the equation 2(x - 4) = 18?

Back

Distribute the 2 to both terms inside the parentheses: 2x - 8 = 18.

Front

Solve for x: -2(x - 3) = 24

Back

x = -9

Front

What is the purpose of using the distributive property in equations?

Back

The distributive property simplifies expressions and makes it easier to solve equations.

Front

Solve for x: 2(x - 4) = 18

Back

x = 13

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.