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 the inverse operations in the reverse order of how they are applied.

Front

What is the first step to solve the equation 5x + 4 = -6?

Back

Subtract 4 from both sides to get 5x = -10.

Front

What is the second step to solve the equation 5x = -10?

Back

Divide both sides by 5 to find x = -2.

Front

Solve the equation 15 = 2a + 7.

Back

Subtract 7 from both sides to get 8 = 2a, then divide by 2 to find a = 4.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve the equation 3x - 7 = 32.

Back

Add 7 to both sides to get 3x = 39, then divide by 3 to find x = 13.

Front

What is the solution to the equation 3c + 5 = 23?

Back

Subtract 5 from both sides to get 3c = 18, then divide by 3 to find c = 6.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.