Common Assessment 3 Review

The owner of a clothing store buys t-shirts for c dollars each and then sells them for p dollars each. Last month she bought 600 t-shirts and sold 500 of them and made a profit of $2800. This month she bought 400 t-shirts and sold them all and made a profit of $2400. Which system of equations can be used to determine the value of c and p?

• 600p - 500c = 2800

  400p - 400c = 2400

• 500p - 600c = 2800

  400p - 400c = 2400

• 500p - 600c = 2800

  400p - c = 2400

• 600p - 500c = 2800

  400p - c = 2400

What is the equation in standard form of the line that passes through the point (4,-8) and has a slope of  $\frac{1}{4}$   ?

• x - 4y = 28

• x - 4y = -36

• x - 4y = -28

• x - 4y = 36

A new spiral notebook contains 30 more sheets of paper than a new memo book. The total number of sheets of paper in 3 spiral notebooks and 5 memo books is 810. Which system of equations can be used to find s, the number of sheets of paper in one new spiral notebook, and m, the number of sheets of paper in one memo book?

• s - m = 30

  3s + 5m = 810

• s + m = 30

  3s + 5m = 810

• s - m = 30

  5s + 3m = 810

• s + m = 30

  5s + 3m = 810

What is the value of x in the solution to this system of equations?

3x = 2y + 14

y = -6x + 18

• 
  

  $\frac{10}{3}$
  

• $-2$

• $2$

• $-\frac{10}{3}$

That is the x-value of the solution to this system?

 $10x-y=53$  

 $y=\frac{-13x+92}{2}$  

• 6

• 2

• 7

• 33

Airline passengers pay $439 to fly to California. For this price, customers may check 2 pieces of luggage. There is a fee of $25 for each additional piece of luggage a passenger wants to check. Which function can be used to find the amount in dollars a passenger has to pay to fly with p pieces of luggage when p is greater than or equal to 2?

• $c=25p+439$

• $c=\frac{p}{25}+439$

• $c=\frac{p-2}{25}+439$

• $c=25(p-2)+439$

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

• 7

• 15

• 35

• 5

Which situation does NOT show causation?

• When a student population at a school increases, the number of teachers at the school increases.

• When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.

• When there are more workers on a project, the project is completed in less time.

• When there is more protein in an athlete's diet, the athlete scores more points in a game.

What value of n makes the equation true?
 $4(0.5n-3)=n-0.25(12-8n)$  

• -9

• 0

• -4

• 2

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than the technology magazine. Which system of equations can be used to find the number of pages in each magazine?

• t = s - 18

  10t = 12s + 32

• s = t - 18
  10s = 12t + 32

• s = t - 18

  12s = 10t + 32

• t = s - 18
  12t = 10s + 32