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 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

How do you combine like terms?

Back

By adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What does it mean to isolate a variable?

Back

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

Front

Solve for x: 3x + 8 - x = 5x - 4

Back

x = 6.

Front

Is 7 a solution to the equation 3x + 8 - x = 5x - 4?

Back

No, substituting 7 does not satisfy the equation.

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10.

Front

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

Back

x = 1.

Front

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

Combine like terms to get 7x - 4 = 3.

Front

Solve for x: 5x - 4 + 2x = 3

Back

x = 1.