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. It often involves combining like terms, using the distributive property, and isolating the variable.

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

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

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

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

Back

x = 1

Front

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

Back

x = 1

Front

Solve for y: 3y - 7 = 11

Back

y = 6

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation.

Front

What is the solution to the equation 4(x - 2) = 12?

Back

x = 5

Front

What does it mean to check your solution?

Back

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