Simplifying Algebraic Expressions and Combining Like Terms

What is an expression?

• A number by itself

• A variable by itself

• A combination of numbers and variables without an equal sign

• A mathematical statement with an equal sign

What is a coefficient?

• A number by itself

• An unknown value

• A variable by itself

• A value in front of a variable

Which of the following are like terms?

• x and y

• 80d and -2d

• 6 and 6x

• 5x and x^2

Why are 5x and x^2 not like terms?

• They have different exponents

• They have different coefficients

• They are both constants

• They have different variables

Simplify the expression: 2y + 4y

• 6y

• 2y

• 8y

• 4y

What is the simplified form of 2y + 4y - 6 - 8?

• 2y - 2

• 2y - 14

• 6y - 2

• 6y - 14

Combine the like terms: m + m

• m^2

• m

• 0

• 2m

What is the result of combining -8n and 8n?

• 16n

• 0

• -16n

• 8n

Simplify the expression: 2/3x + 4/3x

• 6/3x

• 2x

• 4x

• 1x

What is the simplified expression for the perimeter of a rectangle with sides 2x + 3 and 12?

• 2x + 15

• 4x + 30

• 2x + 30

• 4x + 15