Solving Two-Step and Distributive Property 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

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step to solve the equation 3(x + 2) = 15?

Back

Distribute 3 to both terms inside the parentheses: 3x + 6 = 15.

Front

What do you do first when solving 12g - 5 = 19?

Back

Add 5 to both sides to isolate the term with the variable.

Front

What is the solution to the equation 3x + 11 = 44?

Back

Subtract 11 from both sides to get 3x = 33, then divide by 3 to find x = 11.

Front

How do you solve for p in the equation -2p - 4 = 2?

Back

Add 4 to both sides to get -2p = 6, then divide by -2 to find p = -3.

Front

What is the solution to 1/2y = 10?

Back

Multiply both sides by 2 to find y = 20.

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.