Question 1
What is the value of \(2x + y\) for the solution to the following system?
\[\begin{aligned} 3x + 2y &= 16 \\ x - y &= 2 \end{aligned}\]
Medium - Quiz 1
Can you set up the right system and pick the fastest path to the answer? These problems mix elimination, substitution, and real-world modeling.
Question 1 of 5
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Answer question 1 to unlock
A coffee shop sells small cups for $3 and large cups for $5. In one morning, the shop sold 40 cups and collected $152 in revenue. How many large cups were sold?
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Answer question 2 to unlock
How many solutions does the following system have?
\[\begin{aligned} 2x + 4y &= 10 \\ x + 2y &= 3 \end{aligned}\]
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Answer question 3 to unlock
What is the value of \(y\) in the solution to the following system?
\[\begin{aligned} 3x + 4y &= 25 \\ 5x - 2y &= 7 \end{aligned}\]
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Answer question 4 to unlock
A freelance designer worked a total of 30 hours last week on two projects. She charges $15 per hour for basic design work and $12 per hour for administrative tasks. If her total earnings for the week were $396, how many hours did she spend on basic design work?