Solving Equations - Combining Like Terms & Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Combine Like Terms: What does it mean?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve the equation: 6x - 5 + 7x = 34

Back

x = 3

Front

What is the first step to solve the equation: 4h + 3 - 2h = 15?

Back

Combine Like Terms.

Front

Solve the equation: -15 + 3x - 7x = -43

Back

x = 7

Front

Back

r = 8

Front

Solve the equation: 13 = -11 - 4x

Back

x = -6

Front

What is the purpose of the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Front

What does it mean to collect variables to one side of the equation?

Back

Collecting variables to one side means to rearrange the equation so that all terms containing the variable are on one side and constant terms are on the other.

Front

Solve the equation: 2x + 3 = 11

Back

x = 4