Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves combining like terms and performing 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, 3x and 5x are like terms.

Front

Simplify: 8x + 2 + 10x + 1

Back

18x + 3

Front

What does it mean to distribute in algebra?

Back

Distributing means multiplying a term by each term inside a set of parentheses. For example, in 4(7x + 5), you multiply 4 by both 7x and 5.

Front

Simplify: 4(7x + 5)

Back

28x + 20

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 each term in a sum.

Front

Simplify: 5(2 - 7n)

Back

10 - 35n

Front

What is a coefficient in an algebraic expression?

Back

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

Front

Simplify: 6(3x - 2) + 4x

Back

22x - 12

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, 5 is a constant.