Problems Involving Algebraic Expressions

How do you solve equations in algebra?

• By ignoring the equal sign

• By guessing randomly

• By memorizing formulas

• By isolating the variable on one side of the equation

Which property allows you to change the order of terms in an algebraic expression?

• Commutative property

• Identity property

• Associative property

• Distributive property

Which of the following is NOT a common variable used in algebra?

• a

• b

• c

• 1

What is the solution to the equation 2y - 8 = 10?

• y = 9

• y = 5

• y = 7

• y = 6

What is the first step in solving the equation 4(x + 2) = 20?

• Subtract 2

• Distribute the 4

• Combine like terms

• Divide by 4

What is the role of variables in algebraic expressions?

• To confuse the solver

• To complicate the problem

• To represent known quantities

• To represent unknown quantities

What is the solution to the equation 6w - 9 = 15?

• w = 7

• w = 6

• w = 4

• w = 5

Which property allows you to group terms in an algebraic expression without changing the result?

• Commutative property

• Associative property

• Identity property

• Distributive property

Why is algebra important in solving mathematical problems?

• It is too complex to be useful

• It helps uncover relationships between numbers and quantities

• It has no practical applications

• It is only used in history

Which property allows you to combine like terms in algebra?

• Associative property

• Commutative property

• Distributive property

• Identity property