Distributive Property Review with PEMDAS and Exponents

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

How do you apply the Distributive Property to the expression 2x(3x + 4y - 5)?

Back

You multiply 2x by each term inside the parentheses: 2x * 3x = 6x^2, 2x * 4y = 8xy, and 2x * -5 = -10x. The simplified expression is 6x^2 + 8xy - 10x.

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is the order of operations used to solve mathematical expressions.

Front

How do you simplify the expression (3 + 1) x 4 using PEMDAS?

Back

First, solve the expression in parentheses: (3 + 1) = 4. Then multiply: 4 x 4 = 16.

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 5^4, 5 is the base and 4 is the exponent, meaning 5 is multiplied by itself 4 times.

Front

Write the expanded form of 5^4.

Back

5^4 in expanded form is 5 x 5 x 5 x 5.

Front

Convert the expression 3 x 3 x 3 x 3 x 3 x 3 into exponential form.

Back

The expression 3 x 3 x 3 x 3 x 3 x 3 can be written in exponential form as 3^6.

Front

What is the result of multiplying 5n by 3n?

Back

The result of multiplying 5n by 3n is 15n^2.

Front

What is the first step in applying the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

How do you simplify the expression 2(3 + 4)?

Back

Using PEMDAS, first solve the parentheses: 3 + 4 = 7. Then multiply: 2 x 7 = 14.