Algebraic Expression (Expand and simplify)

Expand and simplify 3(c - 2d) - 2(2c - 3d).

• -c

• c - 6d

• -6d

• 3c - 6d

Simplify 3x + 2y - 2x + 3y.

• x + 4y

• x + 5y

• 5x + 5y

• y + 3x

Expand and simplify 2(x + 3) + 4.

• 2x + 8

• 2x + 10

• 2x + 12

• 2x + 6

Expand and simplify -2(3x - 4).

• -6x + 8

• -6x - 8

• 6x + 8

• 6x - 8

What is an algebraic expression?

• A mathematical phrase that can include numbers, variables, and operation symbols.

• A type of equation that only contains numbers.

• A graphical representation of mathematical functions.

• A statement that can be true or false.

What is a variable in algebra?

• A symbol used to represent a known value.

• A constant that does not change.

• A symbol used to represent an unknown value.

• A type of equation that has no solution.

How do you combine like terms?

• By multiplying their coefficients.

• By adding or subtracting their coefficients.

• By dividing their coefficients.

• By ignoring their coefficients.

What is like terms in algebra?

• Terms that have different variables

• Terms that have the same variable raised to the same power

• Terms that are always positive

• Terms that can be added together regardless of their variables

What is the distributive property?

• The distributive property states that a(b + c) = ab + ac.

• The distributive property states that a + b = ab.

• The distributive property states that a(b - c) = ab - ac.

• The distributive property states that a(b + c) = a + b + c.

What is the coefficient in an algebraic expression?

• The coefficient is the numerical factor in front of a variable.

• The coefficient is the variable itself.

• The coefficient is the sum of all terms in the expression.

• The coefficient is the exponent of the variable.