Simplify Expressions

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 the expression to its simplest form.

Tags

CCSS.7.EE.A.1

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

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.

Tags

CCSS.7.EE.A.1

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, usually a letter, that represents an unknown value in an expression or equation.

Tags

CCSS.6.EE.A.2B

Front

What is the distributive property?

Back

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

Tags

CCSS.6.EE.A.3

Front

How do you apply the distributive property to simplify an expression?

Back

To apply the distributive property, multiply the term outside the parentheses by each term inside the parentheses and then combine like terms.

Tags

CCSS.6.EE.A.3

Front

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

Back

The result is -10x - 12.

Tags

CCSS.6.EE.A.3

Front

What is the result of combining the like terms in the expression 5a + 2b - 3a + 4?

Back

The result is 2a + 2b + 4.

Tags

CCSS.7.EE.A.1

Front

What is the simplified form of the expression 2(m + 4) + 3(3 - m)?

Back

The simplified form is -m + 17.

Tags

CCSS.6.EE.A.3

Front

What does it mean to expand an expression?

Back

To expand an expression means to remove parentheses by applying the distributive property and combining like terms.

Tags

CCSS.6.EE.A.3