Equivalent Expressions with Variables and Numbers

combines both numbers and letters using the arithmetic operations of addition (+), subtraction (–), multiplication (·), and division (÷) to express a quantity.

• algebraic expression

• variable

• coefficient

• term

symbols, often letters, that represent different values in various situations

• terms

• variables

• expressions

• constant

numbers that represent the same value or amount

• like terms

• equivalent

• variables

• coefficient

• 2

• 4

• 8

Which expression is equivalent to:
d + d + d + 3 + 2

• 3d + 5

• d + 5

• 2d + 7

• 3d + 4

Use the distributive property to find an equivalent expression: 5(2f + 4)

• 10f + 4

• 10f + 9

• 10f + 20

• 30f

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Choose the equivalent expression for the given expression: 2(r + y)

• 3ry

• 2r + y

• 2r + 2y

• 3r + 3y

An algebraic expression is an expression that _______________________.

• contains only numbers

• contains numbers, variables, and operations

• contains only numbers and operations

• contains only variables

Which expression represents twice the quantity of 11 less than k. 

• 11 -k

• k - 11

• 2k - 11

• 2(k-11)