Linear Expressions Quiz

What is a variable in mathematical expressions?

• A type of equation

• A number that is always constant

• A symbol, usually a letter, used to represent a number

• A mathematical operation

Which property of addition states that a + b = b + a?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

What does it mean to combine like terms?

• To multiply terms with different variables

• To divide terms with the same variable

• To add terms that have the exact same variable raised to the exact same power

• To subtract terms with different coefficients

What is a linear expression?

• An expression with variables raised to the second power

• A collection of variable terms and constant terms joined by addition or subtraction

• A collection of variable terms and constant terms joined by multiplication

• An equation with no variables

What is the distributive property of multiplication over addition?

• a + (b + c) = (a + b) + c

• a x (b + c) = a x b + a x c

• a + b = b + a

• a x b = b x a

What is a rational coefficient?

• A number that is added to a variable

• A constant term in an expression

• A number that is multiplied by a variable

• A variable that is divided by a number

How can you factor a linear expression?

• By dividing the expression by a variable

• By multiplying all the terms

• By using the greatest common factor

• By adding all the terms together

What does it mean for two expressions to be equivalent?

• They have the same number of terms

• They have the same variables

• They represent the same quantity even if they look different

• They have the same coefficients

Which property allows you to rewrite expressions in different forms?

• Distributive Property

• All of the above

• Associative Property

• Commutative Property

What is the result of expanding the expression y(3 + x)?

• 3 + xy

• 3y + yx

• 3y + xy

• 3y + x