Order of Operations, Distributive Property

Front

What is the Order of Operations?

Back

A set of rules that determines the sequence in which calculations are performed in a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does it mean to distribute?

Back

To multiply the numbers inside the parentheses by the number on the outside.

Front

Simplify the expression using the Distributive Property: -4(k - 7)

Back

-4k + 28

Front

Simplify the expression using the Distributive Property: 6(x + 3y)

Back

6x + 18y

Front

Simplify the expression using the Distributive Property: 6(x - 3 + 5y)

Back

6x - 18 + 30y

Front

Simplify the expression using the Distributive Property: 6(3x - 6)

Back

18x - 36

Front

What is the Distributive Property?

Back

A property that states a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

If you have 2(x + 4), what is the simplified expression?

Back

2x + 8

Front

What is the first step in the Order of Operations?

Back

Perform calculations inside parentheses.

Front

What is an example of using the Distributive Property with negative numbers?

Back

-3(a - 2) = -3a + 6.