Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves combining like terms and using mathematical operations to reduce an expression 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, 3a and 5a are like terms.

Front

Simplify the expression: 8a + 4b + 2c - 3b + a

Back

9a + b + 2c

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

Use the distributive property to simplify: 3(2c - 5)

Back

6c - 15

Front

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable.

Front

Simplify the expression: 7v + 2 + 12 + 2v

Back

9v + 14

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

Simplify: 5(2 - 7n)

Back

10 - 35n