A supply spacecraft carrying urgently needed equipment arrived at the space station, but the docking bay remained locked. To authorize access, Emek and Tara had to solve equations displayed on several control panels. One panel showed 4x + 7 = 35, and another displayed (y / 3) + 5 = 12. Each correct solution unlocked another stage of the docking sequence. After checking their answers and entering the values, the docking doors opened smoothly. The cargo was delivered safely, allowing the station's repairs to continue without delay.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Undo the addition before undoing the multiplication.
The first docking panel shows 4x + 7 = 35. Which sequence of operations correctly finds x?
Add 7, then divide by 4Subtract 7, then divide by 4Divide by 4, then subtract 7Subtract 4, then divide by 7Correct! Subtracting 7 and then dividing by 4 isolates x.
Reverse the operations applied to x, starting with the added 7.
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Hint
First subtract 5, then multiply by 3.
The second docking panel shows y/3 + 5 = 12. What value of y unlocks the panel?
Correct! The value of y is 21.
Undo the addition first, then undo the division by 3.
Next🎉 Congrats! You got this question!
Hint
Compare 21 with 7 using multiplication.
After solving the panels, Emek finds x = 7 and y = 21. Which statement correctly compares the two values?
x is three times y.x and y are equal.y is three times x.y is 7 more than x.Correct! Since 21 = 3 × 7, y is three times x.
Check how many groups of 7 are contained in 21.
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