请生成一份详细的讲解视频---**Overall Title:** Practice Math Placement Exam questions **Section Title:** Whole Numbers, Fractions, and Decimals **Question 1:** Compute $8.3 - 11.2 - 2$. **Question 2:** Multiply $\frac{5}{2} \times \frac{3}{10}$. Write your answer as a fraction in simplest form. **Question 3:** Divide. Write your answer as a fraction in the simplest form. $\frac{11}{14} \div \frac{5}{6}$ **Section Title:** Percents, Proportions, and Geometry **Question 4:** Write $\frac{20}{50}$ as a percentage. **Question 5:** What is $90\%$ of $89$? **Question 6:** For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of $6$ N acts on a certain object, the acceleration of the object is $3$ m/s$^2$. If the force is changed to $20$ N, what will be the acceleration of the object? **Question 7:** An item is regularly priced at $90$. It is now priced at a discount of $60\%$ off the regular price. What is the price now? **Question 8:** The perimeter of the rectangle below is $166$ units. Find the length of side WX. Write your answer without variables. **Chart/Diagram Description (for Question 8):** * **Type:** Geometric figure (rectangle). * **Main Elements:** * A rectangle is shown with vertices labeled V, W, X, and Y. * The side VY is labeled with the expression $5y - 1$. * The side YX is labeled with the expression $4y + 3$. * Vertices are ordered clockwise starting from bottom-left: V, W, X, Y. Thus, VY and WX are opposite sides (length), and VW and YX are opposite sides (width). * The image implies VW has length $4y+3$ and WX has length $5y-1$. (Based on typical rectangle labeling and appearance). **Question 9:** Find the area of the figure (sides meet at right angles). **Chart/Diagram Description (for Question 9):** * **Type:** Geometric figure (composite shape). * **Main Elements:** * An irregular polygon is shown, composed of connected line segments. All corners appear to be right angles. * The shape resembles a thick 'L' or a rectangle with a smaller rectangle removed from one corner. * Side lengths are labeled: * The top-most horizontal segment is labeled $4$ yd. * The vertical segment below the left end of the $4$ yd segment is labeled $3$ yd. * The horizontal segment to the left of the bottom end of the $3$ yd segment is labeled $3$ yd. * The vertical segment below the left end of the $3$ yd segment is labeled $3$ yd. * The horizontal segment to the left of the bottom end of the $3$ yd segment is labeled $3$ yd. * The vertical segment connecting the bottom-left corner to the shape above is labeled $3$ yd. * There are unlabeled segments on the right side of the shape. Based on the right angles and labeled sides: * The vertical segment directly below the right end of the $4$ yd segment is labeled $3$ yd. * The horizontal segment to the right of the bottom end of this $3$ yd segment is labeled $3$ yd. * The vertical segment below the right end of this $3$ yd segment is labeled $3$ yd. * All labeled segments are either 3 yd or 4 yd. **Question 10:** Find the circumference and the area of a circle with radius $3$ yd. Use $3.14$ for $\pi$, and do not round your answers. Be sure to include the correct units in your answers. **Question 11:** A circle has radius of $8$ in. Find the length $s$ of the arc intercepted by a central angle of $0.9$ radians. Do not round any intermediate computations, but round your answer to the nearest tenth. **Question 12:** Write an equation that expresses the following relationship: $u$ varies jointly with $p$ and $d$ and inversely with $w$. In your equation use $k$ as the constant of proportionality.