Lesson 16

Representing Contexts with Equations

The practice problem answers are available at one of our IM Certified Partners

Problem 1

Match each situation to one of the equations. 

Problem 2

Starting at noon, the temperature dropped steadily at a rate of 0.8 degrees Celsius every hour.

For each of these situations, write and solve an equation and describe what your variable represents.

  1. How many hours did it take for the temperature to decrease by 4.4 degrees Celsius?

  2. If the temperature after the 4.4 degree drop was -2.5 degrees Celsius, what was the temperature at noon?

Problem 3

Kiran mixes \(\frac34\) cups of raisins, 1 cup peanuts, and \(\frac12\) cups of chocolate chips to make trail mix. How much of each ingredient would he need to make 10 cups of trail mix? Explain your reasoning.

(From Grade7, Unit 4, Lesson 3.)

Problem 4

Find the value of each expression.

  1. \(12 + \text-10\)
  2. \(\text-5 - 6\)
  3. \(\text-42 + 17\)
  4. \(35 - \text-8\)
  5. \(\text-4\frac12 + 3\)
(From Grade7, Unit 5, Lesson 6.)

Problem 5

The markings on the number line are evenly spaced. Label the other markings on the number line.

A blank number line with 9 evenly spaced tick marks. Starting on the left, the fourth tick mark is labeled negative 30, the fifth tick mark is labeled 0, and the ninth tick mark is labeled 45.
(From Grade7, Unit 5, Lesson 8.)

Problem 6

Kiran drinks 6.4 oz of milk each morning. How many days does it take him to finish a 32 oz container of milk?

  1. Write and solve an equation for the situation. 

  2. What does the variable represent?