Combining Like Terms

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 4y are not.

Tags

CCSS.6.EE.A.2B

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent. For example, 2x + 3x = 5x.

Tags

CCSS.7.EE.A.1

Front

What is the result of combining 11b² + 2b² - 5b³ - 3b²?

Back

10b² - 5b³.

Tags

CCSS.7.EE.A.1

Front

What is the result of combining -9r³ + 2r - 5r³ + 3 - 20r?

Back

-14r³ - 18r + 3.

Tags

CCSS.7.EE.A.1

Front

What is the result of (7n⁶ + 5n⁸ + 4) - (4n⁶ - 2n⁸ + 1)?

Back

7n⁸ + 3n⁶ + 3.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of combining 9m³ + m + 2m² - 3m³?

Back

m + 2m² + 6m³.

Tags

CCSS.7.EE.A.1

Front

What is the result of 2(g³ + 2g) - 4g(g² + 5)?

Back

-2g³ - 16g.

Tags

CCSS.6.EE.A.3

Front

What is a coefficient in algebra?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 3x² + 2x + 1, the degree is 2.