like terms

Front

What are like terms in algebra?

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, you add or subtract the coefficients of the terms that have the same variable. For example, -6k + 7k = (7 - 6)k = 1k or k.

Tags

CCSS.7.EE.A.1

Front

What is the result of simplifying the expression 10 - 5(9n - 9)?

Back

The result is 55 - 45n.

Tags

CCSS.6.EE.A.3

Front

What is the simplified form of 4P + 2P?

Back

The simplified form is 6P.

Tags

CCSS.7.EE.A.1

Front

How do you distribute a number across a sum in parentheses?

Back

You multiply the number by each term inside the parentheses. For example, 3(a + b + c) = 3a + 3b + 3c.

Tags

CCSS.6.EE.A.3

Front

What is the result of simplifying the expression 4(-2z + 5x + 6)?

Back

The result is -8z + 20x + 24.

Tags

CCSS.6.EE.A.3

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.

Tags

CCSS.6.EE.A.2B

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Tags

CCSS.7.EE.A.1

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not. For example, 2x and 3x are like terms, but 2x and 3y are unlike terms.

Tags

CCSS.6.EE.A.2B

Front

How do you handle negative coefficients when combining like terms?

Back

When combining like terms with negative coefficients, you treat the negative sign as part of the coefficient. For example, -2k + 3k = (3 - 2)k = 1k or k.

Tags

CCSS.7.EE.A.1