Distribution and Combining Like Terms

Front

What is distribution in mathematics?

Back

Distribution is a property that allows you to multiply a single term by each term inside a set of parentheses. For example, in the expression 9(p + 4), you would multiply 9 by both p and 4.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power. For example, in 5a - 3a + 2b, you can combine 5a and -3a to get 2a, resulting in 2a + 2b.

Front

Simplify: 9(p + 4) - 3p - 8

Back

6p + 28

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Which expression is equivalent to 70 + 7x?

Back

7(10 + x)

Front

Simplify: 2(4 + 9w)

Back

8 + 18w

Front

Simplify the expression: 3 + 5x + 8 - 2x

Back

11 + 3x

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient.

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, while 3x and 3y are not.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to distribute a term across a sum or difference.