Problem Solving for Unknown Numbers

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

• Associative property

• Commutative property

• Distributive property

• Identity property

What is the relationship between variables and unknown quantities in algebra?

• Variables have no relationship with quantities

• Variables represent known quantities

• Variables represent unknown quantities

• Variables are irrelevant in algebra

Which property allows you to multiply a sum by a number?

• Identity property

• Associative property

• Distributive property

• Commutative property

How can you think of algebra according to the analogy provided in the passage?

• As a creative writing exercise

• As a simple task with no challenges

• As a random collection of numbers

• As a puzzle that requires logic and problem-solving skills

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

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

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

• Commutative property

• Associative property

• Identity property

• Distributive property

a letter or symbol used to represent an unknown quantity is called a

• unknown

• variable

• fact family

• sum

What would be the first step in solving this problem?

• Add the whole numbers in the mixed fractions.

• Multiply the denominators

• Convert the mixed numbers back into improper fractions.

• Multiply the 6 by 1.

A letter or symbol that is used to represent an unknown value.

• remainder

• variable

• quotient

• unknown