Expanding, Simplifying and Factoring Algebraic Expressions

Front

What is the distributive property in algebra?

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

Expand the expression: 3(x + 4)

Back

3x + 12

Front

What does it mean to simplify an algebraic expression?

Back

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

Front

Simplify the expression: 4x + 2x - 3 + 5

Back

6x + 2

Front

What is a factor in algebra?

Back

A factor is a number or expression that divides another number or expression evenly.

Front

Factor the expression: x^2 + 5x + 6

Back

(x + 2)(x + 3)

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

Write in standard form: 2x + 3 - x + 5

Back

x + 8

Front

Expand the expression: 2(x - 3) + 4

Back

2x - 6 + 4 = 2x - 2

Front

What is a like term?

Back

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