Combining like-terms and distributive property

Front

What is the definition of 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.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of like terms to simplify an expression. For example, 3x + 5x = 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(2 + 4)

Back

3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

What is the result of 4 raised to the second power?

Back

4 raised to the second power is 16, since 4^2 = 4 * 4.

Front

Simplify the expression: 5x + 3x.

Back

5x + 3x = 8x.

Front

Distribute and simplify: 2(3x + 4).

Back

2(3x + 4) = 6x + 8.

Front

What is the result of combining like terms in the expression: 2x + 3 + 4x + 5?

Back

2x + 4x + 3 + 5 = 6x + 8.

Front

Distribute and combine like terms: 4(2x + 1) + 3x.

Back

4(2x + 1) + 3x = 8x + 4 + 3x = 11x + 4.

Front

What is the simplified form of: 7y + 2y + 5?

Back

7y + 2y + 5 = 9y + 5.