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Rainbow Room Equation Escape

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Rainbow Room Equation Escape worksheet preview

Rainbow Room Equation Escape

Part 1: Decode and Evaluate Expressions

Show the order of operations. Each answer helps the lab team unlock the next room.

1. Evaluate: 4 + 3 × 2 = ________
2. Evaluate: 18 − 2 × 5 = ________
3. Evaluate 3a + 2 when a = 4. Answer: ________

Part 2: Solve the HNL Equations

Use inverse operations. Write each solution and show your work.

4. x + 17 = 42
5. x − 9 = 26
6. 6x = 54

Part 3: HNL Laboratory Word Problems

7. A lab scanner records 8 readings every minute. After m minutes, it records 40 readings. Write and solve an equation to find m.
8. A sealed sample container weighs 15 pounds empty. With samples inside, it weighs 38 pounds. Write and solve an equation to find the weight of the samples.
9. The lab’s cooling system lowers the temperature by 6°F each hour. After h hours, the temperature has dropped 30°F. Write and solve an equation to find h.
10. Four equal energy cells provide 28 units of power. Write and solve an equation to find the power provided by each cell.

Part 4: Escape Code Challenge

Solve each problem. Record the four answers in order to reveal the escape code.

11a. Evaluate: 5 + 2 × 3 = ________
11b. Solve: x + 8 = 20. x = ________
11c. Solve: 7x = 35. x = ________
11d. Evaluate 2n + 1 when n = 4. Answer: ________

ESCAPE CODE: ________   ________   ________   ________

Answer Key — Final Page

1. 10

2. 8

3. 14

4. x = 25

5. x = 35

6. x = 9

7. 8m = 40; m = 5 minutes

8. 15 + s = 38; s = 23 pounds

9. 6h = 30; h = 5 hours

10. 4p = 28; p = 7 power units

11. 11a: 11; 11b: 12; 11c: 5; 11d: 9

Escape code: 11-12-5-9

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