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 performing inverse operations.

Front

What is the first step to solve the equation 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

How do you simplify the expression -8 + (15 - 3) ÷ 4?

Back

First, calculate (15 - 3) = 12. Then, -8 + 12 ÷ 4 = -8 + 3 = -5.

Front

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

Back

To isolate a variable means to get the variable alone on one side of the equation, usually by using inverse operations.

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 the equation 3x - x + 2 = 4(2x - 1). What is x?

Back

x = 1.

Front

What is a solution to an equation?

Back

A solution to an equation is a value that makes the equation true when substituted for the variable.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values that can be substituted for the variable to make the equation true.