Simplify Expressions

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, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = (3 + 5)x = 8x.

Front

Simplify the expression: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the result of 3x - 5x?

Back

-2x

Front

What does the distributive property state?

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 the expression: -3(2c - 5)

Back

-6c + 15

Front

What is the result of multiplying a binomial by a monomial?

Back

To multiply a binomial by a monomial, distribute the monomial to each term in the binomial. For example, a(b + c) = ab + ac.

Front

Simplify the expression: (b + 8)5

Back

5b + 40

Front

What is the sum of 2x + 1 + 7x?

Back

9x + 1

Front

What is a coefficient in an algebraic expression?

Back

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