Distributive Property Review with PEMDAS and Exponents

Front

What is a variable in an equation or expression?

Back

A variable is a letter or symbol that represents an unknown value in an equation or expression.

Front

What is the distributive property?

Back

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

Front

Simplify using the distributive property: 2x(3x + 4y - 5). What is the result?

Back

6x² + 8xy - 10x.

Front

What is the result of multiplying 5n(3n)?

Back

15n².

Front

What does it mean to write a number in expanded form?

Back

Writing a number in expanded form means expressing it as a sum of its parts, such as 5⁴ = 5 x 5 x 5 x 5.

Front

What is PEMDAS?

Back

PEMDAS is an acronym that stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), which is the order of operations in mathematics.

Front

How do you simplify (3² + 5) ÷ 2 using PEMDAS?

Back

First, calculate 3² = 9, then add 9 + 5 = 14, and finally divide 14 by 2 to get 7.

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself.

Front

What is the result of 5²?

Back

25.

Front

How do you apply the distributive property to the expression 4(2 + 3)?

Back

4(2 + 3) = 4*2 + 4*3 = 8 + 12 = 20.