Simplifying Algebraic Expressions

Front

What are Like Terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined through addition or subtraction.

Front

What is a Coefficient?

Back

A coefficient is a number in front of a variable that indicates how much to multiply the variable by.

Front

Simplify the Expression: 2x + 3x - 12x

Back

-7x

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 set of parentheses.

Front

Simplify the Expression: 3(x - y + 5)

Back

3x - 3y + 15

Front

What is an Expression in algebra?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

What is a Constant in algebra?

Back

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

Front

Simplify the Expression: 21 - 8x - 4 + 9x

Back

x + 17

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 are Terms in an algebraic expression?

Back

Terms are the parts of an expression separated by + or - signs. For example, in 3x + 5, 3x and 5 are terms.