Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, allowing 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 does it mean if an equation has no solution?

Back

It means there is no value for the variable that will satisfy the equation.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

Solve the equation: 10x-8 = 2x+5+7x

Back

x=13

Front

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

Back

y=1

Front

What is the first step in solving multi-step equations?

Back

Identify and isolate the variable by performing inverse operations.