Simplifying Algebraic Expressions: A Comprehensive Review

What are the components of an algebraic expression separated by plus and minus signs called?

• Variables

• Terms

• Constants

• Coefficients

What is the coefficient of a variable term?

• A letter representing a number

• The number attached to a variable

• The sum of all like terms

• A constant term without a variable

How can constant terms also be considered as coefficients?

• They are always equal to 1

• They are multiplied by a variable not visible in the expression

• They cannot be considered as coefficients

• They are always the highest number in the expression

What does it mean to combine like terms?

• To add or subtract terms with different variables

• To multiply terms with the same variables

• To add or subtract terms with the same variable

• To divide terms by their coefficients

Which of the following is an example of like terms?

• 2x and 3y

• 7m and -7m

• 4x^2 and 4x

• 5a and 5a

What is the first step in simplifying expressions that contain parentheses?

• Apply the distributive property

• Identify coefficients

• Separate terms

• Combine like terms

What does the distributive property allow you to do?

• Add variables with different exponents

• Combine unlike terms

• Multiply a number by a sum or difference inside parentheses

• Subtract constants from variables

What is the result of applying the distributive property to 3(x + 4)?

• 12x

• 3x + 12

• 3x + 4

• x + 7

What is the simplified form of an expression?

• An expression with no like terms

• An expression with no variables

• An expression with no coefficients

• An expression with no constants

What distinguishes an equation from an expression?

• An equation contains variables, while an expression does not

• An equation has an equal sign, setting two expressions equal to each other

• An expression can be simplified, while an equation cannot

• An expression contains numbers and operations, while an equation does not