Distributive Property and Combining Like Terms

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: 4(2x + 3)

Back

8x + 12

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify: 3x + 4x

Back

7x

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

How many terms are in the expression 5 + 2x + 3y?

Back

3

Front

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

Back

a + 3b + 4

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

Simplify: 5(3x + 2) - 2x

Back

15x + 10 - 2x = 13x + 10

Front

What is the constant term in the expression 4x + 5?

Back

The constant term is 5, which does not change with the value of x.