OUR: Unit 5, Lessons 2 & 3 Practice

A theater wants to take in at least $2,000 for the matinee. Children's tickets cost $5 each and adult tickets cost $10 each. The theater can seat up to 350 people. Select the combinations of children and adult tickets that will make the $2,000 goal and not be more than 350 people total.

(Hint: this is a system of inequalities)

• children: 300

  adults: 50

• children: 400

  adults: 80

• children: 50

  adults: 175

• children: 280

  adults: 60

• (2,4)

• (4,0)

• (3,2)

• (0,6)

Answer explanation

To check the solution, you will plug in the given x and y coordinates into the equation.

Select the answer which correctly matches each equation to the line graph and contains the correct solution.

Answer explanation

Find the solution by identifying where the graphs intersect. Find the correct graph by matching the y-intercept and slope for each line.

• (-2,-7)

• (0,2)

• (10,3)

• (2,7)

• (2,0)

• (0,-10)

• (3,0)

• (1,1)

Answer explanation

To check the solution, you will plug in the given x and y coordinates into the equation.

The Utah Jazz scored 102 points in a recent game. The team scored some 3-point shots, 2-point shots, and many free throws worth 1-point each. Select the combinations of baskets that would add up to 102 points.

(Hint: There is only one equation you need!)

• 1-point shots: 7

  2-point shots: 31

  3-point shots: 11

• 1-point shots: 12

  2-point shots: 36

  3-point shots: 6

• 1-point shots: 15

  2-point shots: 35

  3-point shots: 1

• 1-point shots: 22

  2-point shots: 12

  3-point shots: 36