Question 1
How many solutions does the following system of equations have?
\[\begin{aligned} y &= x^2 - 4x + 3 \\ y &= x - 1 \end{aligned}\]
Medium - Quiz 1
Solve systems that pair linear equations with quadratics, absolute values, and other nonlinear relationships in real-world contexts.
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Answer question 1 to unlock
An event organizer sold a total of 200 adult and child tickets. The product of the number of adult tickets and child tickets sold is 9,600. If more adult tickets than child tickets were sold, how many adult tickets were sold?
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Answer question 2 to unlock
What is the sum of all \(x\)-values that satisfy the system below?
\[\begin{aligned} y &= |x - 3| + 1 \\ y &= 5 \end{aligned}\]
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Answer question 3 to unlock
If \((x, y)\) is a solution to the system below, what is the product of all possible \(y\)-values?
\[\begin{aligned} y &= 2x + 1 \\ y &= x^2 + 2x - 3 \end{aligned}\]
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Answer question 4 to unlock
A rectangular garden has a perimeter of 28 meters and an area of 45 square meters. What is the length, in meters, of the longer side?
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