Key Terms Algebraic Expressions

Which expression represents 10 times the sum of a number and 4.

• 10x + 4

• 10(x + 4)

• (x + 10) + 4

• 10(x² + 4)

Which expression represents twice the cube of a number, increased by 1.

• 2x(3) + 1

• 2x² + 1

• 2³ + x + 1

• 2x³ + 1

If s represents Sam’s age and his sister is 2 years less than one half his age, then which expression represents his sister’s age in terms of the variable s.

If y represents a number, then write an expression for nine less than one fourth of y.

If x represents a number, write an expression that represents the difference between a number one larger than x and one smaller than x.

• (x + 1) + (x - 1)

• x + 1 - 1

• (x + 1) - (x - 1)

• (x + 1) (x - 1)

What is an expression that contains at least one variable called?

• operational expression

• constant expression

• numerical expression

• algebraic expression

True or False: Terms that have the same variables and can be combined through addition and subtraction are called "like terms."

• true

• false

What property includes both addition and multiplication and allows you to rewrite an expression from a product of two numbers to the sum of two separate products?

Example: 3(4x+5) = 12x+15

• Associative Property of Multiplication

• Commutative Property of Addition

• Additive Inverse Property

• Distributive Property

A lower case letter or symbol used to represent an unknown value is called a what?

• term

• variable

• constant

• operation

A numerical value in an expression that does not change its value is called a what?

• constant

• variable

• operation

• symbol