Solve 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, often involving operations such as addition, subtraction, multiplication, and division.

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 does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside of parentheses by each term inside the parentheses.

Front

What is the first step in solving the equation 7(1 - y) = -3(y - 2)?

Back

The first step is to distribute the 7 on the left side and -3 on the right side.

Front

How do you solve the equation -4x + 1 = 21?

Back

Subtract 1 from both sides to get -4x = 20, then divide by -4 to find x = -5.

Front

What is the solution to the equation 5x + 4 = -6?

Back

Subtract 4 from both sides to get 5x = -10, then divide by 5 to find x = -2.

Front

In the equation 6(x + 3) = 48, what is the first operation you perform?

Back

The first operation is to distribute the 6 to both terms inside the parentheses.

Front

What is the final step to solve the equation 6n + 4 = -26?

Back

Subtract 4 from both sides to get 6n = -30, then divide by 6 to find n = -5.

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.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.