Expressions Review

Hadley 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 Hadleyś profit for selling s scarves after paying the fee for the use of the booth.

• 12x+25

• 37x

• 13x

• 12x-25

The cost to buy p pounds of potatoes at $0.32 per pound and n pounds of onions at $0.48 per pound can be determined by using the expression 0.32p + 0.48n. How much will it cost to buy 4.5 pounds of potatoes and 2.5 pounds of onions?

Simplify the expression

 $\frac{5}{8\ }m\ +\ 9\ -\ \frac{3}{8}m\ -\ 15$  

• m + 6

• m + 24

•  $\frac{2}{8}m\ +\ 6$  

•  $\frac{2}{8}m\ -6$  

Simplify the expression

 $-8w\ +\ \left(-4z\right)\ +\ 2\ +6w+9z-7$  

•  $-2w\ +5z\ -5$  

•  $2w\ +13z\ +9$  

•  $14w\ +\ 2z\ -5$  

•  $14w\ +5z\ +9$  

 $-6\ +\ \left(-2d\right)\ +\ \left(-4d\right)\ +\ 3d$  

•  $-6\ +\ 9d$  

•  $-6\ +3d$  

•  $-6\ -\ 3d$  

•  $15d$  

•  $9d$  

Expand the expression

 $3.5\left(-3n+4\right)$  

•  $10.5n\ +4$  

•  $-10.5n\ +4$  

•  $-10.5n\ +14$  

•  $14.5n$  

•  $6.5n$  

Expand AND simplify the expression

 $-\frac{3}{5}\left(-8+\frac{5}{9}x-3\right)$  

•  $\frac{33}{5}-\frac{15}{45}x$  

•  $\frac{24}{5}-\frac{15}{45}x$  

•  $\frac{33}{5}+\frac{15}{45}x$  

•  $\frac{15}{45}x-\frac{33}{5}$  

Factor the expression using the GCF

 $63a\ -42b$  

•  $3\left(21a-14b\right)$  

•  $7\left(9a-6b\right)$  

•  $21\left(3a\ -\ 2b\right)$  

• Cannot be factored

Factor the expression using the GCF

 $81y\ +54$  

•  $9\left(9y\ +\ 6\right)$  

•  $27\left(3y+2\right)$  

•  $3\left(27y+18\right)$  

•  $135y$  

Which of the following show a way to factor the expression

 $32t-48$  

•  $2\left(16t-24\right)$  

•  $4\left(12t-48\right)$  

•  $6\left(26t-42\right)$  

•  $8\left(4t-6\right)$  

•  $16\left(2t-3\right)$