Solving Multi-Step Equations with 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.

Tags

CCSS.6.EE.A.3

Front

Back

First, apply the Distributive Property: -32 - 20b = 8. Then, add 32 to both sides: -20b = 40. Finally, divide by -20: b = -2.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to solve a multi-step equation?

Back

Solving a multi-step equation involves performing multiple operations to isolate the variable on one side of the equation.

Tags

CCSS.8.EE.C.7B

Front

Back

The first step is to apply the Distributive Property: 3x + 12 = 21.

Tags

CCSS.HSA.REI.A.1

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move all terms involving the variable to one side and constant terms to the other side.

Tags

CCSS.7.EE.B.4A

Front

What is an example of a multi-step equation?

Back

Tags

CCSS.8.EE.C.7B

Front

How do you check your solution after solving an equation?

Back

You substitute your solution back into the original equation to see if both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

Back

First, apply the Distributive Property: 5x + 10 = 25. Then, subtract 10 from both sides: 5x = 15. Finally, divide by 5: x = 3.

Tags

CCSS.7.EE.B.4A

Front

What is the importance of the Distributive Property in solving equations?

Back

The Distributive Property simplifies expressions and makes it easier to solve equations by allowing you to eliminate parentheses.

Tags

CCSS.6.EE.A.3

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1