Simplifying Expressions

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing any operations.

Front

What is a like term?

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: 5(2 - 7n)

Back

10 - 35n

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 two or more terms inside a set of parentheses.

Front

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

Back

14x

Front

What is the result of subtracting a negative?

Back

Subtracting a negative number is the same as adding its positive counterpart. For example, -(-x) = x.

Front

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

Back

-3x - 2

Front

What is a coefficient?

Back

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

Front

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

Back

10 - 6x

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent.