Solving 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, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation (2x - 3) / 4 = 9?

Back

Multiply both sides by 4 to eliminate the fraction.

Front

Solve: 4x - 6 = 30

Back

x = 9

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

Solve: ½ (2x + 6) = 3x + 13

Back

x = -5

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve: 3(x - 1) = 2x + 9

Back

x = 12