While patrolling a space station, Emek and Tara heard an alarm after a sudden power fluctuation. The life support system had locked, and each control panel displayed an equation with an unknown value. One panel showed x + 9 = 21, while another displayed 3y - 5 = 16. The correct solutions were needed to unlock the oxygen controls. Emek and Tara solved each equation, entered the values, and watched the system confirm every setting. Oxygen circulation restarted throughout the station, and the crew safely continued their mission.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Subtract 9 from both sides of the equation.
One life support control panel displays the equation x + 9 = 21. Which value should Emek and Tara enter for x?
10123021Correct! Subtracting 9 from both sides gives x = 12.
Try isolating x by subtracting 9 from each side.
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Hint
First subtract 7 from both sides, then divide by 4.
A third control panel shows the equation 4z + 7 = 31. What value of z unlocks the panel?
Correct! The value of z is 6.
Undo the addition before undoing the multiplication.
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Hint
Add 5 to both sides before dividing by 3.
Another crew member says the solution to the panel equation 3y - 5 = 16 is y = 11. Which statement is correct?
The crew member is correct because 3 × 11 - 5 = 16.The crew member is incorrect because y = 5.The crew member is incorrect because y = 7.The crew member is incorrect because y = 16.Correct! Adding 5 gives 21, and 21 ÷ 3 = 7.
Solve the equation step by step and check your answer by substitution.
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