Algebraic Expression Involving Arithmetic Operations

What is an algebraic expression?

• A number

• A mathematical phrase that can include numbers, variables, and operators

• An equation

• A graph

Simplify: 5x+3x+4(3-y). What is the result?

• 8x+12+4y

• 8x−7+4y

• 8x+12-4y

• 8x−12y-4y

What is a coefficient?

• A number added to a variable

• A number multiplied by a variable

• A variable in an expression

• A constant term

Simplify: 7a+4b−5a. What is the result?

• 2a+4b

• 3a+4b

• 2a-4b

• 2b+4a

What is a like term?

• Terms with different variables

• Terms that contain only constants

• Terms that are always positive

• Terms that can be combined

Simplify: 8y−2y+5. What is the result?

• 6y + 5
• 10y + 5
• 3y + 5
• 14y + 5

Simplify: 6m+2−4+3m. What is the result?

• 9m + 2
• 8m - 2
• 5m - 2
• 9m - 2

What is a constant term?

• A term with a variable

• A term that can change

• A fixed number without a variable

• A term that is always negative

Simplify: 2(x+3)+4(x−1). What is the result?

• 6x+2

• 6x+10

• 2x+10

• 6x-2

Simplify: 4x−3(x+2). What is the result?

• 3x - 6

• x - 5
• x - 6

• 2x - 3