Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

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 each term 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

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself, making it easier to solve.

Front

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

Back

x = 13

Front

What is the solution to 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

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value for the variable makes the equation true.