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, 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 6a + 5a = -11?

Back

The first step is to combine like terms on the left side, resulting in 11a = -11.

Front

What is the solution to the equation 11a = -11?

Back

The solution is a = -1.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the process to solve the equation x/3 + 7 = 12?

Back

First, subtract 7 from both sides to get x/3 = 5, then multiply both sides by 3 to find x = 15.

Front

What does it mean to solve for x in an equation?

Back

To solve for x means to find the value of x that makes the equation true.

Front

What is the solution to the equation 2(x + 4) = 14?

Back

The solution is x = 3.

Front

How do you solve the equation 3a + 9 + 4a = 2?

Back

Combine like terms to get 7a + 9 = 2, then isolate a to find a = -1.

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.