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1. Unknown number from percentages ●○○○○ 10 ptsIf $15\%$ of $N$ is $45\%$ of $2003$, what is the value of $N$?
2. Red 4-door cars in a parking lot ●○○○○ 10 ptsThere are 20 cars in a parking lot. All of the cars are red or white, and all of the cars are either 2-door or 4-door. Of these cars, 12 are red, 15 are 4-door, and 4 are 2-door and white. How many of the cars are 4-door and red?
3. Area of a rectangular garden ●○○○○ 10 ptsThe perimeter of a rectangular garden is 60 feet. If the length of the garden is twice the width, find the area of the garden, in square feet.
4. Evaluating a function from its composite form ●○○○○ 10 ptsLet $g(2x + 5) = 4x^2 - 3x + 2$. Find $g(-3)$.
5. Value of x making a matrix singular ●○○○○ 10 ptsFind the value of $x$ for which the matrix $\begin{pmatrix} 1 + x & 7 \\ 3 - x & 8 \end{pmatrix}$ is not invertible. Round to two decimal places.
6. Continuity of a piecewise linear function ●○○○○ 10 ptsLet $f(n) = 4n+3$ if $n<a$, and $f(n) = 7n-12$ if $n\ge a$. Find $a$ so that the graph of $y=f(n)$ is continuous.
7. Sum of three numbers from pairwise sums ●○○○○ 10 ptsThree numbers are added two at a time, and the three sums are 29, 46, and 53. Find the sum of all three numbers.
8. Smallest of five consecutive integers ●○○○○ 10 ptsThe mean (average) of 5 consecutive integers is 9. What is the smallest of these 5 integers?
9. Positive difference from an average ●○○○○ 10 ptsThe average of the numbers 23 and $x$ is 27. What is the positive difference between 23 and $x$?
10. Percentage relation between three quantities ●○○○○ 10 ptsIf $x$ is $20\%$ of $y$ and $x$ is $50\%$ of $z$, then what percentage is $z$ of $y$?

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