Rewriting Algebraic Expressions

Choose all expressions that are equivalent to 3(3x+3) + x + 1

• 10(x+1)

• 9(x+1) + x + 1

• 10x + 4

• 5(2x+2)

Choose all expressions that are equivalent to 3x - 12

• 3(x-4)

• 5x + 20 - 2x - 32

• 2x + 10 - 5x + 2

• 3x +12 - 3x - 12

Choose all expressions that are equivalent to 4x + 20

• 4(x+5)

• -6x + 10 + 1 0x + 10

• 5 + (-3x) - 10 - x + 5

• 3x +8 - 17x - 12

Choose all expressions that are equivalent to x + 2 + 3x + 4 + 5x

• 3(3x+2)

• 6 + 4x + 5x

• 6x + 9

• 3(2x+3)

Tia is 8 years younger than her sister Annette. Annette is y years old. Write an algebraic expression that describes Tia's age.

Let y represent Annette's age.

Mathematical Equivalence

ON

6 more than twice x can be written as (a)  

• 2x + 6

• 6x + 2

• 2x + 6x

• 6 + x

• 1/2x + 6

Write an expression to represent "10 less than x cubed"

Mathematical Equivalence

ON

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts. 

6( ​ (a)   x + ​ (b)   y)

​ (c)   x + ​ (d)   y

• 3

• 4

• 18

• 24

• 7

Write each phrase as an algebraic expression.

The sum of 7 and x

Mathematical Equivalence

ON

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts. 6( ​ (a)   x + ​ (b)   y)

​ (c)   x + ​ (d)   y

• 3

• 4

• 18

• 24

• 7