Simplifying Algebraic Expressions

Front

Simplify the expression by combining like terms: 8a + 4b + 2c - 3b + a

Back

9a + b + 2c

Front

These have the same variable and can, therefore, be combined:

Back

Like Terms

Front

Simplify: -1x + y - z + 10z + 2x - 10y

Back

1x - 9y + 9z

Front

Simplify the expression: 6(2a + 5b) + 3(a - 8b)

Back

15a + 6b

Front

Simplify the expression: (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)

Back

11a^3 - 4a^2 - 14a - 7

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by + or - signs.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in a term.

Front

What does it mean to simplify an expression?

Back

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

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.