Lesson 17: Practice Problems

Problem 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 $12 + 3 n > 28$ or $12 + 3 n \geq 28$ 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.

Problem 2

In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are enough tables to fit 200 students. Write an inequality whose solution is the possible number of 4-seat tables in the cafeteria.
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.
How are these two problems similar? How are they different?

Problem 3 From Unit 6 Lesson 9

Solve each equation.

$5 (n - 4) = - 60$
$- 3 t + (- 8) = 25$
$7 p - 8 = - 22$
$\frac{2}{5} (j + 40) = - 4$
$4 (w + 1) = - 6$

Problem 4 From Unit 6 Lesson 13

Select all the inequalities that have the same graph as $x < 4$ .

$x < 2$
$x + 6 < 10$
$5 x < 20$
$x - 2 > 2$
$x < 8$

Problem 5 From Unit 4 Lesson 12

A 200 pound person weighs 33 pounds on the moon.

How much did the person’s weight decrease?
By what percentage did the person’s weight decrease?