Solving Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

What is the first step to solve the equation n - 4 = -2?

Back

Add 4 to both sides of the equation.

Front

What is the first step to solve the equation 3n - 4 = -2 + 2n?

Back

Subtract 2n from both sides of the equation.

Front

Solve for x: 3x + 2(4x - 4) = 3

Back

x = 1.

Front

Solve for x: 3x + 7 = -8

Back

x = -5.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to eliminate parentheses in equations.

Front

What are like terms?

Back

Terms in an expression that have the same variable raised to the same power.

Front

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

Back

To simplify the equation, making it easier to solve.