Multi-Step Equations W/ Variables on One Side

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 does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

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

How do you combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

The first step is to apply the distributive property to simplify the equation.

Front

Solve: 5x - 4 + 2x = 3

Back

x = 1

Front

What is the solution to the equation -(n - 8) = -2?

Back

n = 10

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

x = 4

Front

Solve: 5x - 8x - 14 = 4

Back

x = -6