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 isolate the variable and solve for its value.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 5x + 7 = -13?

Back

The first step is to subtract 7 from both sides of the equation.

Front

What is the solution to the equation 3(x - 4) = -3?

Back

The solution is x = 3.

Front

How do you solve the equation 4p + 7 = p - 14?

Back

First, subtract p from both sides, then subtract 7 from both sides, and finally divide by 3.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

What is the distributive property?

Back

The distributive property states that 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 apply the distributive property to the equation 2x - 3(5x - 1) = 42?

Back

You distribute -3 to both 5x and -1, resulting in 2x - 15x + 3 = 42.

Front

What is the solution to the equation 2x - 3(5x - 1) = 42?

Back

The solution is x = -3.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.