Unit 5 Review

Alex and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.

• Small Box: $7

  Big Box: $13

• Small Box: $9

  Big Box: $16

• Small Box: $10

  Big Box: $14

• Small Box: $12

  Big Box: $18

Tags

CCSS.8.EE.C.8C

Lab Middle School and Lab High School planned separate trips to DisneyLand. The Lab Middle School rented and filled 1 van and 6 buses with 372 students. Lab High School rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

• Van 12 students

  Bus 45 students

• Van 18 students

  Bus 59 students

• Van: 24 students

  Bus: 65 students

• Van: 22 students

  Bus: 63 students

Manhattan Youth is selling tickets to a the Lunar New Year Banquet. On the first day of ticket sales the school sold 3 adult tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 child tickets. Find the price of an adult ticket and the price of a child ticket.

• Adult: $10

  Child: $10

• Adult: $12

  Child: $8

• Adult: $8

  Child: $14

• Adult: $10

  Child: $12

Tags

CCSS.8.EE.C.8C

The 8th graders are hosting the next school dance. They would like to make at least a $500 profit from selling tickets. The 8th graders estimate that at most 300 students will attend the dance. They will earn $3 for each ticket purchased in advance and $4 for each ticket purchased at the door. Let x = the number of people who purchase tickets in advance and Let y = the number of people who purchase tickets at the door.

Which system of inequalities represents this scenario?

• 3x + 4y ≥ 500

  x + y ≤ 300

• 3x + 4y ≤ 500, x + y ≥ 300

• 3x + 4y ≤ 500 x + y ≤ 300

• 3x + 4y ≥ 500

  x + y ≥ 300

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend. You expect to purchase at least 3 pounds of hamburgers. Let H = the # of pounds of hamburger and C = the # of pounds of chicken. Which system of inequalities represents this scenario?

• H ≤ 3,

  2H + 3C ≥ 30

• H ≥ 3

  2H + 3C ≤ 30

• H ≥ 3

  2H - 3C ≤ 30

• H ≤ 3

  2H - 3C ≥ 30

Tiffany is making jewelry for an Arts and Crafts show. She would like to make at least $100 in sales. She estimates that she will sell at most 50 pieces of jewelry. The bracelets that she is selling cost $2 and the necklaces cost $3. Let x = the number of bracelets and Let y = the number of necklaces.

Write a system of inequalities to represent this situation.

• 2x + 3y ≤ 100

  x + y ≥ 50

• 2x - 3y ≥ 100

  x - y ≤ 50

• 2x + 3y ≥ 100

  x + y ≤ 50

• 2x + 3y <= 100

  x - y ≤ 50

• (-3,-2)

• (3,-2)

• (-3, 2)

• (3, 2)

Tags

CCSS.8.EE.C.8B

• (-4,-3)

• (-4, 3)

• (4, -3)

• (4, 3)

Tags

CCSS.8.EE.C.8B

• (-2,-3)

• (-2,3)

• (2,-3)

• (2,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (-1,-2)

• (-1,2)

• (1,-2)

• (1,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6