Distributing and Combining Like Terms in Algebra

What is a variable in an algebraic expression?

• A mathematical operation

• A term without a variable

• A symbol or letter representing a number

• A number that multiplies a variable

Which of the following is a coefficient?

• 2 in y + 2

• y in y + 2

• 6 in 6x

• x in 6x

What separates terms in an algebraic expression?

• Multiplication and division symbols

• Parentheses

• Plus and minus symbols

• Equal signs

What are like terms?

• Terms with different exponents

• Terms with no variables

• Terms with different variables

• Terms with the same variable and exponent

What does it mean to distribute in algebra?

• To divide terms

• To subtract terms

• To add terms together

• To multiply a factor over addition or subtraction

In the expression -8q + 6 + 5q - 3, what are the like terms?

• 5q and -3

• -8q and 5q

• 6 and -3

• -8q and 6

How do you combine like terms?

• By multiplying them

• By adding their coefficients

• By subtracting their coefficients

• By dividing them

When distributing -5 in the expression 2a - 5(a + 1), what is the result?

• 2a - 5a - 5

• 2a - 5a + 5

• 2a + 5a - 5

• 2a + 5a + 5

In the expression -14y + 12x + 12y - 12x, what is the simplified form?

• -2y

• -2x

• 12y

• 0

What is the simplified form of the expression 8 - b(-3) + 6b + 12 - 10b?

• -12 - b

• 12 - b

• 12 + b

• -12 + b