Simplifying 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

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

Simplify the expression: -5(y - 6) + 4

Back

-5y + 34

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 the expression: 5(2 - 7n)

Back

10 - 35n

Front

What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents one or more numbers. For example, in the expression 3x + 2, x is a variable.

Front

Simplify the expression: 9z - 21 - 3z + 10

Back

6z - 11

Front

What is a coefficient?

Back

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

Front

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x