Simplifying Expressions (CLT and Dist)

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

Simplify: -4(2a + 7) + 3a + 18

Back

-5a - 10

Front

Simplify: 2(4 + 9w)

Back

8 + 18w

Front

Simplify: 3 + 5x + 8 - 2x

Back

3x + 11

Front

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

Back

-4k + 28

Front

Simplify: -4(-4d - 5)

Back

16d + 20

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

What is a constant in algebra?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, the number 5 is a constant.