1. 28 students travel on a field trip. They bring a van that can seat 12 students. Elena and Kiran's teacher asks parents to drive cars that seat 3 children each to transport the rest of the students.
Elena wonders if she should use the inequality
12 - 3n > 28 or 12 - 3n ≥ 28
to figure out how many cars are needed. Kiran doesn't think it matters in this case. Do you agree with Kiran? Explain your reasoning.
1 point
1
Question 2
2.
2a) In the cafeteria, there is one large 30-seat table and many smaller 4-seat tables. There are enough tables to fit AT LEAST 200 students.
Write an inequality whose solution is the possible number of 4-seat tables in the cafeteria.
1 point
1
Question 3
3.
2b) 5 barrels catch rainwater in the schoolyard. Four barrels are the same size, and the fifth barrel holds 10 liters of water. Combined, the 5 barrels can hold at least 200 liters of water.
Write an inequality whose solution is the possible size of each of the 4 barrels.
1 point
1
Question 4
4.
2c) How are these two problems similar? How are they different?
1 point
1
Question 5
5.
3. Solve each equation. Show your work.
a)
1 point
1
Question 6
6.
3. Solve each equation. Show your work.
b)
1 point
1
Question 7
7.
3. Solve each equation. Show your work.
c)
1 point
1
Question 8
8.
3. Solve each equation. Show your work.
d)
1 point
1
Question 9
9.
3. Solve each equation. Show your work.
e)
1 point
1
Question 10
10.
4. Select ALL the inequalities that have the same graph as
x < 4.
1 point
1
Question 11
11.
5. A 200 pound person weighs 33 pounds on the moon.
a) How much did the person's weight decrease?
1 point
1
Question 12
12.
5. A 200 pound person weighs 33 pounds on the moon.
b) By what percentage did the person's weight decrease?
1 point
1
Question 13
13.
Exit Ticket
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality
8x + 58 ≥ 500
and solved it to find the solution x ≥ 55.25.
1. Explain how you know Elena made a mistake based on her solution.
1 point
1
Question 14
14.
2. Fix Elena's inequality and explain what each part of the inequality means.
