Modeling Expressions

Factor the expression 63a - 42b

• 7(9a - 6b)

• 7(9a - 42b)

• 7ab(9 - 6)

• (9a - 6b)

(5.2c - 7.35) + (-3.9c + 2.65)

• 9.1 - 4.7

• -1.3c + 4.7

• 1.3c - 4.7

• 9.1c + 10

Expand (distribute) 3.5(-3n + 4)

• 0.5n + 4

• 10.5n - 14

• -10.5n + 4

• -10.5n + 14

Danielle makes and sells knit scarves. Next week she will pay a $25 fee for the use of a booth at a craft fair. She will charge $12 for each scarf she sells at the fair. Write an expression to determine Danielle's profit for selling s scarves after paying the fee for the use of the booth.

• $25 - $12s

• $25S + $12

• $25 + $12s

• $12s - 25

Subtract: (6x - 2y - 5) - (-8x + 9y - 5)

• -2x -11y - 10

• 14x - 11y

• -2x + 7y

• 14x + 7y

Factor 12x + 8

• 3x + 4

• 2(6x + 4)

• 4(3x + 2)

• 3(4x + 2)

Subtract (5x + 3y) - (6x + 2y)

• -1x + 1y

• 11x + y

• -1x - 1y

• 11x + 5y

Rewrite/distribute: 8k - (5 + 2k)

• 10k -5

• 6k -5

• 1k

• 5k

• 4x - 28y + 8z

• 4x - 7y + 2z

• 64x - 7y + 8z

• 8z - 7y + 2z

Joe has $60 in a savings account. Each week he deposits $12 in his account. Which expression is equivalent to the total amount in the amount after x weeks?

• 60x + 12

• 60 + 12x

• 60x + 12x

• 72x