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Common Formative Assessment March

Last updated about 4 hours ago

4 questions

Required

20

Required

20

Required

10

Required

10

Question 1

1.

The Celluloid Cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, which system of equations could be used to determine how many adult tickets, a, and how many child tickets, c, were sold?

Remember to show your work for credit. No work means 0 points.

      a   +   c   =  150
10.25a + 7.75c = 1470

Question 2

2.

Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for planting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $250 this week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens, which system of inequalities could be used to represent the given conditions?

Remember to show your work for credit. No work means 0 points.

   m   +   g    ≤ 40
12m  + 14g ≥ 250

Question 3

3.

Solve the system of inequalities by graphing.

Remember to show your work for credit. No work means 0 points.

Question 4

4.

Solve the system of equations by graphing.

Remember to show your work for credit. No work means 0 points.

       a   +   c   =  1470
10.25a + 7.75c = 150

     a   +   c    =   1470
7.75a + 10.25c = 150

      a   +   c    =   150
7.75a + 10.25c = 1470

   m    +     g   ≥     40
12m  +  14g   ≥   250

    m  +    g    ≥   40
12m  + 14g  ≤  250

   m   +      g    ≤ 40
12m  +  14g   ≤   250