Combining Like Terms (Algebra Review)

Front

What are like terms in algebra?

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 5y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3 + 5)x = 8x.

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 inside a parentheses.

Front

Simplify: 3(2x - 4) + 6x - 1

Back

12x - 13

Front

Simplify: -10x + 15 - 3x + 2

Back

-13x + 17

Front

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

Back

2a + 2b + 4

Front

Expand using the distributive property: -2(3x + 4y + 1)

Back

-6x - 8y - 2

Front

Simplify: 4(8x + 1) - 6(1 - 8x)

Back

80x - 2

Front

What is a coefficient in algebra?

Back

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

Front

What does it mean to simplify an expression?

Back

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