Multi-Step 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

Simplify the expression using the distributive property: 10(2x-7)

Back

20x - 70

Front

What is the first step to solve the equation 7x - 9 = 40?

Back

Add 9 to both sides.

Front

Solve the equation: 7x - 9 = 40

Back

x = 7

Front

What is the goal when solving multi-step equations?

Back

The goal is to isolate the variable on one side of the equation.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation, making it easier to solve.

Front

Solve the equation: -3y + 5 = 8y - 6

Back

y = 1

Front

What is the first step to solve the equation 8m + 10 = 3m + 25?

Back

Subtract 3m from both sides.

Front

Solve the equation: 8m + 10 = 3m + 25

Back

m = 3

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 combining like terms and using inverse operations.