Simplifying Expressions - Combining Like Terms and Distribution

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 3x + 4x, you can combine the like terms to get 7x.

Front

What does distribution mean in algebra?

Back

Distribution refers to the process of multiplying a term by each term inside a set of parentheses. For example, in 3(2 + 4), you distribute 3 to both 2 and 4 to get 6 + 12.

Front

Simplify the expression: 3(9 + 2d) + 4d

Back

27 + 10d

Front

Find the difference: 2(x - 2) - 3(x - 4)

Back

-x + 8

Front

Simplify: -9( -3h - 8)

Back

27h + 72

Front

Simplify: -7(3x - 2)

Back

-21x + 14

Front

Combine the like terms: 17m + 13x - 20m

Back

-3m + 13x

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 5x and 2x are like terms, while 5x and 5y are not.

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 parentheses.

Front

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

Back

2x + 14