Near the mountain summit, Emek and Tara found a damaged rescue beacon showing 31 power units. They needed at least 12 units remaining to send one final transmission. A backup cell could add 8 units, but each test signal used 6 units. Tara considered attaching the cell first and sending four test signals. She calculated 31 + 8 - 4 * 6 = 15, leaving enough power for the final transmission. Emek noticed another setting that boosted the beacon by 3 units twice, but it required five test signals afterward. He calculated 31 + 2 * 3 - 5 * 6 = 7, which was below the required level. They checked both sequences carefully, remembering to calculate the repeated changes before combining them with the starting power. Since the first sequence left 8 more units than the second and stayed above the 12-unit requirement, they chose it. The beacon powered up, and their final transmission successfully reached the rescue station.

Challenges

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Challenge 1 of 5

Challenges

Start
Challenge 1 of 4
Hint
Think about which operation has priority when multiplication, addition, and subtraction appear in the same expression.
A student evaluates Tara's expression 31 + 8 - 4 * 6 by working from left to right and gets 210. What mistake did the student make?
The student should have added 31 and 8 after subtracting 6.The student should have multiplied 8 by 4 before adding.The student should have multiplied 4 by 6 before completing the addition and subtraction.The student should have subtracted 4 from 31 before using the backup cell.
Correct! Multiplication must be completed before addition and subtraction.
Not quite. Check the order of operations and identify which calculation should be completed first.
Next
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Hint
Use 31 + 8 - 5 * 6, and complete the multiplication first.
Suppose Tara used the 8-unit backup cell but needed to send five test signals instead of four. Each test signal still uses 6 units. How many power units would remain?
Correct! Five test signals use 30 units, leaving 9 power units.
Check the total power used by five test signals before subtracting it from the available power.
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🎉 Congrats! You got this question!
Hint
Evaluate both multiplication terms before combining them with 31.
Emek's sequence is represented by 31 + 2 * 3 - 5 * 6. Which calculation correctly verifies both his result and whether it meets the 12-unit requirement?
31 + 2 * 3 - 5 * 6 = 31 + 6 - 30 = 7, and 7 is below 12.31 + 2 * 3 - 5 * 6 = 33 * 3 - 30 = 69, and 69 is above 12.31 + 2 * 3 - 5 * 6 = 31 + 6 - 5 = 32, and 32 is above 12.31 + 2 * 3 - 5 * 6 = 31 + 6 - 11 = 26, and 26 is above 12.
Correct! The repeated boost adds 6 units, the five signals use 30 units, and 7 is below the required 12 units.
Not quite. Calculate 2 * 3 and 5 * 6 first, then combine those results with the starting power.
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Kurtarma Sinyali Görevi
TR
ARC_G07_OPS_02_STORY_03
Kurtarma Sinyali Görevi
The Rescue Beacon Challenge
EN
ARC_G07_OPS_02_STORY_03
The Rescue Beacon Challenge