Inside a space station orbiting a distant planet, Emek and Tara rushed to the reactor control room after a software malfunction changed the system commands into complex algebraic expressions. The console displayed several expressions that needed to be simplified before the reactor could adjust its power levels correctly. Emek and Tara combined like terms, applied the correct operations, and checked each simplified expression against the expected settings. After resolving the confusing commands, they entered the corrected values into the system. The reactor returned to stable operation, and the space station continued its mission safely.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Combine only the terms that have the same variable.
The reactor console displayed the expression 5x + 3x - 4. What is the simplified expression after combining like terms?
8x - 48x + 415x - 45x - 1Correct! The terms 5x and 3x are like terms, so they combine to make 8x.
Remember that only terms with the same variable can be combined.
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Hint
Substitute the given value of x into the expression.
A reactor command was simplified to the expression 4x + 6. What is the value of the command when x = 5?
Correct! 4*5 + 6 = 26.
Replace x with 5 and complete the multiplication before adding.
Next🎉 Congrats! You got this question!
Hint
Use the distributive property by multiplying 3 by each term inside the parentheses.
The reactor system showed two possible simplified commands. Which expression is equivalent to 3(2x + 5)?
6x + 56x + 153x + 156x + 8Correct! Multiplying 3 by both terms gives 6x + 15.
Make sure the number outside the parentheses multiplies every term inside.
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