Review: Distributive Property + Equations

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

Simplify the expression: 4(2x + 3)

Back

8x + 12

Tags

CCSS.6.EE.A.3

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Tags

CCSS.6.EE.A.2C

Front

Solve for x: 5(x - 2) = 15

Back

x = 5

Tags

CCSS.7.EE.B.4A

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

Solve for n: -(n - 8) = -2

Back

n = 10

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 3(3x - 6) = 18?

Back

Distribute the 3 to both terms inside the parentheses: 9x - 18 = 18.

Tags

CCSS.7.EE.B.4A

Front

Simplify the expression: -3(-10x - 5)

Back

30x + 15

Tags

CCSS.6.EE.A.3

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

b = 1

Tags

CCSS.7.EE.B.4A

Front

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

Back

The Distributive Property helps to simplify expressions and make it easier to solve equations by eliminating parentheses.

Tags

CCSS.6.EE.A.3