ACT Aspire: Expressions

ACT Aspire: Expressions

Fill in the Blanks

When a number

 $p$  is multiplied by 5, the result is the same as when the same number is increased by 5. 
What is the value of 4p?

Multiple Choice

Charlie has built houses for 5 years less than twice as long as Maly has. If Maly has built houses for n years. Which of the following expressions represents the number of years that Charlie has built houses?

• $n-5$

• $n+5$

• $2n-5$

• $2n+5$

• $5-2n$

Multiple Select

Select all the equations that are equivalent to

 $3x-12=24$  

•  $15x-60=120$  

•  $3x=12$  

•  $x-4=8$  

•  $3x=36$  

•  $12x-12=48$  

Multiple Select

Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per person. Including herself, there are 15 people in the club. A package of cookies contains 24 cookies and costs $4.50.
A 1-gallon jug of milk contains 128 ounces and costs $3. Let  $n$  represent number of people in the club,  $m$   represent the ounces of milk,   $c$  represent the number of cookies, and  $b$   represent Jada's budget in dollars.

Select all of the equations that could represent the quantities and constraints in this situation.

•  $\frac{m}{15}=12$  

•  $3m+4.5c=b$  

•  $4n=c$  

•  $4\left(4.50\right)=c$  

•  $b=2\left(3\right)+3\left(4.50\right)$  

Fill in the Blanks

Large cheese pizzas cost $5 each and large one-topping pizzas cost $6 each.
Write an equation that represents the total cost,  $T$ , of  $c$  large cheese pizzas and   $d$ large one-topping pizzas.