As a supply shuttle approached the space station, two different docking formulas appeared on the navigation console. Nova, Luna, and Emek saw the expressions 5x - 4 and 3x + 12, where x represented the latest sensor reading. When the sensor reported x = 9, they evaluated both expressions and compared the predicted docking values. Their calculations showed which control sequence matched the station's requirements. They selected the correct sequence, and the shuttle docked safely with its important supplies.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Substitute 9 for x, then multiply before subtracting.
The first docking formula was 5x - 4. If x = 9, what value does this formula produce?
36414549Correct! 5 * 9 - 4 = 45 - 4 = 41.
Replace x with 9 and follow the order of operations carefully.
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Hint
Put 9 in place of x and calculate the expression.
The second docking formula was 3x + 12. If x = 9, what docking value does this formula produce?
Correct! 3 * 9 + 12 = 27 + 12 = 39.
Remember to multiply 3 by 9 before adding 12.
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Hint
Evaluate both formulas first, then compare the two results.
The navigation team compared the two docking formulas when x = 9. Which conclusion is correct?
The second formula gives a value 2 larger than the firstBoth formulas give the same valueThe first formula gives a value 2 larger than the secondThe first formula gives a value 5 larger than the secondCorrect! The values are 41 and 39, so the first formula is larger by 2.
Find both docking values before comparing them.
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