Mini Exam 45 — Timed Mini Exams

Questions in this quiz (10)

1. There are $$4$$ teaspoons in a tablespoon and $$20$$ tablespoons in a cup. How many cups are equivalent to $$120$$ teaspoons?

   • $$\frac32$$
   • $$2$$
   • $$\frac52$$
   • $$3$$

2. A meal contains only protein, vegetables, and sauce. The total calorie count is $$1,850$$ calories. The protein and vegetables contribute $$950$$ calories, and each serving of sauce contains $$75$$ calories. How many servings of sauce were used?

   • 12

3. If $$\frac{x^2-16}{8}=\frac{x}{2},$$ what is the sum of all real solutions?

   • 4

4. An item originally costs $$p$$ dollars. It is discounted by $$25\%$$ and then an additional $$20\%$$ discount is applied to the sale price. What is the final price in terms of $$p$$?

   • $$0.55p$$
   • $$0.60p$$
   • $$0.75p$$
   • $$0.80p$$

5. The gravitational force between two objects is given by $$F=G\frac{m_1m_2}{r^2}.$$ If the masses are both tripled and the distance between the objects is doubled, how does the new force compare with the original force?

   • $$\frac94$$ times the original force
   • $$\frac49$$ times the original force
   • $$\frac32$$ times the original force
   • $$9$$ times the original force

6. The table below shows pet owners who own exactly one pet. If one owner is selected at random, what is the probability that the person is a female cat owner?

   • $$\frac3{13}$$
   • $$\frac9{52}$$
   • $$\frac{54}{120}$$
   • $$\frac{54}{312}$$

7. A café sells sandwiches for $$8$$ dollars and salads for $$6$$ dollars. A customer buys at least $$3$$ sandwiches and at least $$2$$ salads. If the total amount spent is between $$48$$ dollars and $$72$$ dollars, inclusive, what is the greatest possible number of salads purchased?

   • 8

8. The function $$f(x)=k$$ for all real numbers $$x$$, where $$k\neq0$$. Which statements must be true? I. The graph is a horizontal line. II. The slope is zero. III. The range is all real numbers.

   • I only
   • I and II only
   • II and III only
   • I, II, and III

9. A right rectangular prism has dimensions $$3,6,$$ and $$9$$ centimeters. What is the surface area of the prism?

   • $$126$$
   • $$162$$
   • $$198$$
   • $$216$$

10. A recycling center pays $$\$0.12$$ for each aluminum can and $$\$0.20$$ for each glass bottle. A person collects a total of $$800$$ items and wants to earn at least $$\$120$$. What is the minimum number of bottles that must be collected?

    • $$200$$
    • $$250$$
    • $$300$$
    • $$350$$