Combine like terms

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.

Front

What is a like term?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify: 2(4 + 9w)

Back

8 + 18w

Front

Simplify: -9(14p - 8) - 4p

Back

-130p + 72

Front

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

Back

2a + 2b + 4

Front

Simplify: 7 - 8c + 3 - 6c

Back

10 - 14c

Front

Simplify the expression: 2x + 1 + 7x

Back

9x + 1

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you identify like terms in an expression?

Back

Look for terms that have the same variable(s) and exponent(s). For example, in 4x^2 + 3x - 2x^2, 4x^2 and -2x^2 are like terms.

Front

What is the first step in simplifying an expression with parentheses?

Back

Use the distributive property to eliminate the parentheses by multiplying the term outside the parentheses by each term inside.