Solving Two-Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform inverse operations in the reverse order of how they are applied.

Front

What is the first step in solving the equation -3a + 8 = 14?

Back

Subtract 8 from both sides to get -3a = 6.

Front

What is the second step in solving the equation -3a + 8 = 14?

Back

Divide both sides by -3 to find a = -2.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the solution to the equation 3n + 4 = 7?

Back

n = 1.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the first step in solving the equation 6 - 3a = 21?

Back

Subtract 6 from both sides to get -3a = 15.

Front

What is the second step in solving the equation 6 - 3a = 21?

Back

Divide both sides by -3 to find a = -5.

Front

What is the solution to the equation 33 = 4a - 7?

Back

a = 10.