| Topic | Problem | Solution |
|---|---|---|
| None | One 8-oz serving each of coffee, energy drink, an… | Let's denote the amount of caffeine in one serving of coffee as C, in one serving of energy drink a… |
| None | Two common names for streets are Second Street an… | Let's denote the number of streets named Second Street as x and the number of streets named Main St… |
| None | You invested $\$ 8000$ between two accounts payin… | Let's denote the amount invested at 7% as x and the amount invested at 8% as y. |
| None | Use elimination to solve the system of equations.… | Given the system of equations: \[\begin{array}{l} 5x+y=-12 \\ 7x-3y=-30 \end{array}\] |
| None | Find the median for the given sample data. The di… | \( \text{Sort the data in ascending order: }\{15, 29, 39, 47, 70, 75, 85\} \) |
| None | $2(x-4)=3 x+5$ | Distribute the 2 on the left side: \(2x - 8 = 3x + 5\) |
| None | An investment of $\$ 44,000$ was made by a busine… | Let's denote the amounts of the three parts of the investment as x, y, and z for the first, second,… |
| None | Reflect $(-3,-1)$ across the $y$-axis | Reflect the point $(-3, -1)$ across the $y$-axis: negate the x-coordinate while keeping the y-coord… |
| None | Translate $(-3,0)$ $(x, y) \rightarrow$ \[ (x+5, … | Apply the transformation to the point $(-3,0)$: $(x+5, y-1)$ |
| None | Reflect $(2,0)$ $\operatorname{across} y=x$ | Reflect the point (2, 0) across the line y=x by swapping the x and y coordinates |
| None | Translate $(5,2)$ 10 units left and 6 units down | Translate the point (5, 2) by subtracting 10 units from the x-coordinate and 6 units from the y-coo… |
| None | According to flightstats com, American Airlines f… | This is a binomial experiment because it meets the four conditions of a binomial experiment: 1. The… |
| None | Reflect $(-1,-2)$ $\operatorname{across} x=1$ | Reflect the point $(-1, -2)$ across the line $x = 1$. Find the distance between the point and the l… |
| None | Find the function that is finally graphed after t… | The transformations applied to the function \(y=\sqrt{x}\) are as follows: |
| None | For the function $f(x)$, find the maximum number … | The function given is \(f(x) = x^{7}-x^{4}+4\). |
| None | In the \( 1980 \mathrm{~s} \), the population of … | Let Pleasanton's initial population in 1980 be \(x\). |
| None | The cost to build the exhibit room depends on its… | Given the formula E(a) = 920 * a, where a is the area of the exhibit room in square meters. |
| None | $\left(\frac{3}{2} x+\frac{4}{3}\right)\left(x^{2… | We are given the algebraic expression \(\left(\frac{3}{2} x+\frac{4}{3}\right)\left(x^{2}+\frac{1}{… |
| None | 1. Al sumar los polinomios $7 x^{3}$ - \[ \begin{… | Given three polynomials: \(7x^{3} - 14x^{2} + 6x + 11\), \(-5x^{3} + 9x^{2} - x + 25\), and \(-x^{3… |
| None | Carla looks from a height of 15 yards at the top … | Set up a proportion using the properties of similar triangles: \(\frac{AD}{AC} = \frac{AE}{BC}\) |
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