# Representing Contexts with Equations

Warmup

Is the answer positive or negative?

Activity #1

Division of Integers(Exercise). • First of all, read the problem, then decide if the answer is positive or negative.
• Then check the appropriate box.
• Press the Enter key on your keyboard. A correct answer will be confirmed by the applet.
• Do as many questions as you can.

Activity #2

Sort out Equations That Match the Description. • You may use this applet for the questions below if you find it helpful.
• For each situation below: Find and match two equations that could represent the situation from the bank of equations.

(1.) Explain what the variable represents in each situation.

(2.) Determine the value of the variable that makes the equation true, and explain your reasoning.

Situation 1

Situation 2

Situation 3

Situation 4

Situation 5

Activity #3

Match a Situation with a Diagram. Match each situation with a diagram.

(1.) Next, write an equation to represent each animal’s situation and answer the question. Explain your reasoning.

(2.) A penguin is standing 3 feet above sea level and then dives down 10 feet. What is its depth?

(3.) A dolphin is swimming 3 feet below sea level and then jumps up 10 feet. What is its height at the top of the jump?

(4.) A sea turtle is swimming 3 feet below sea level and then dives down 10 feet. What is its depth?

(5.) An eagle is flying 10 feet above sea level and then dives down to 3 feet above sea level. What was its change in altitude?

(6.) A pelican is flying 10 feet above sea level and then dives down reaching 3 feet below sea level. What was its change in altitude?

(7.) A shark is swimming 10 feet below sea level and then swims up reaching 3 feet below sea level. What was its change in depth?

Challenge #1

Kiran mixes cups of raisin, 1 cup peanuts, and 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.

Challenge #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?

Challenge #3

Match this situation with one of the equations.

Quiz Time