Before launching an exploration probe, Emek and Tara entered the mission control center to review the onboard diagnostic program. The computer had created several formulas to describe the probe's navigation settings, but some expressions were too complex for the system to interpret. They simplified the algebraic expressions by combining like terms and comparing the results with the required configuration values. After checking each calculation, they discovered that one incorrect setting could have changed the probe's route. With the corrected expressions entered into the computer, the navigation system was calibrated properly, and the probe launched toward its destination without error.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Group terms with x together and combine the constant numbers separately.
The probe diagnostic program displayed the expression 7x + 4 - 3x + 6. What is the simplified form after combining like terms?
4x + 1010x + 104x + 27x + 10
Correct! The x terms combine to 4x and the constants combine to 10.
Remember to combine only like terms and keep variable terms separate from constants.
Next
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Hint
Substitute x = 6 into the expression and calculate.
The probe configuration expression is 5x - 8. If x = 6, what is the value of the configuration setting?
Correct! 5*6 - 8 = 30 - 8 = 22.
Check the multiplication first, then subtract 8.
Next
🎉 Congrats! You got this question!
Hint
First distribute the 2, then combine the x terms.
Emek and Tara compared two possible simplified navigation commands. Which expression is equivalent to 2(3x + 4) - x?
5x + 86x + 47x + 85x + 4
Correct! Expanding gives 6x + 8 - x, which simplifies to 5x + 8.
Check the distributive property before combining like terms.
Next
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🎉 Congrats! You finished this challenge set!
Uzay Aracı Tanılama Programı
TR
ARC_G09_OPS_01_STORY_02
Uzay Aracı Tanılama Programı
The Probe Diagnostic Program
EN
ARC_G09_OPS_01_STORY_02
The Probe Diagnostic Program