Distributing and Combining

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Tags

CCSS.6.EE.A.3

Front

How do you simplify an expression with like terms?

Back

Combine like terms by adding or subtracting their coefficients while keeping the variable part the same.

Tags

CCSS.7.EE.A.1

Front

What is the result of applying the distributive property to -3(2c - 5)?

Back

-6c + 15.

Tags

CCSS.6.EE.A.3

Front

How do you simplify the expression -10x + 15 - 3x + 2?

Back

Combine like terms to get -13x + 17.

Tags

CCSS.7.EE.A.1

Front

What is the result of applying the distributive property to -4(-4d - 5)?

Back

16d + 20.

Tags

CCSS.6.EE.A.3

Front

How do you simplify the expression 7 + 3(1 - 2x)?

Back

Distribute 3 to get 7 + 3 - 6x, which simplifies to 10 - 6x.

Tags

CCSS.6.EE.A.3

Front

What is the result of simplifying -6x + 4(-x - 3)?

Back

-10x - 12.

Tags

CCSS.6.EE.A.3

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Tags

CCSS.6.EE.A.2B

Front

What is the first step in simplifying an expression?

Back

Identify and combine like terms.

Tags

CCSS.7.EE.A.1