Generating Equivalent Algebraic Expressions Module 11

What do two equivalent expressions always have in common?

• the same value

• the same variables

• the same constants

• Both have an equal sign.

What must be included in an algebraic expression?

• an equals sign

• at least one variable

• one or more numbers

• an operation such as addition

Which algebraic expression could represent the phrase below? a number n decreased by 5

• 5 – n

• n – 5

• n/5

• n – 1/5

What is the value of the expression h – 20 when h = 60?

• 30

• 40

• 80

• 120

Which value for the variable w makes the value of this expression 10? 50/w

• w = 1/5

• w = 5

• w = 60

• w = 500

Which property justifies the fact that 5(x – 2) is equivalent to 5x – 10?

• commutative

• associative

• distributive

• identity

Which of the following is equivalent to the expression below? 4x + 3(2x –1) – 4x

• 6x – 3

• 6x + 3

• 14x – 3

• 14x + 3

What are the like terms in the expression below? 3x + 8 + 3y + 8x

• 8 and 8x

• 3x and 3y

• 3x, 3y, and 8x

• 3x and 8x

Identify the variable and the constant in the expression below. 18 + t

• variable: t constant: 18

• variable: 18 constant: t

• variable: 18 constant: 0

• variable: 0 constant: t

the product of a number and six

• 6k

• k+6

• k-6

• 6/k