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 isolating the variable.

Front

How do you combine like terms in an expression?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

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 each term inside a set of parentheses.

Front

Solve the equation: 2x + 3 = 11

Back

x = 4

Front

What does it mean to isolate a variable?

Back

Isolating a variable means 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 the equation: 3(x - 2) = 9

Back

x = 5

Front

What is the first step in solving the equation 4x + 8 = 24?

Back

The first step is to subtract 8 from both sides of the equation.

Front

What is the solution to the equation: 5x - 10 = 0?

Back

x = 2

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: 2(x + 4) = 16?

Back

x = 4