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 combine like terms in an equation?

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 first step in solving the equation 9w + 3w = 36?

Back

The first step is to combine like terms, which gives you 12w = 36.

Front

What is the solution to the equation 12w = 36?

Back

The solution is w = 3.

Front

Why is it important to check your solution after solving an equation?

Back

It is important to check your solution to ensure that it satisfies the original equation and makes sense in the context of the problem.

Front

What does it mean to isolate a variable in an equation?

Back

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

Front

How do you solve the equation -5(4x + 4) = 140?

Back

First, distribute -5 to get -20x - 20 = 140, then add 20 to both sides to get -20x = 160, and finally divide by -20 to find x = -8.

Front

What is a two-step equation?

Back

A two-step equation is an equation that can be solved in two steps, typically involving one operation to isolate the variable and another to solve for its value.

Front

How do you solve the equation (x/3) + 10 = 15?

Back

First, subtract 10 from both sides to get x/3 = 5, then multiply both sides by 3 to find x = 15.

Front

What is the solution to the equation (a - 5)/7 = 3?

Back

To solve for a, multiply both sides by 7 to get a - 5 = 21, then add 5 to both sides to find a = 26.