Timed Mini Exam 30 — Timed Mini Exams

Questions in this quiz (10)

1. Consider the equation $$R=\frac{15a}{b}$$, where $$a$$ and $$b$$ are positive numbers. Which statement correctly describes the relationship among the variables?

   • $$R$$ increases when $$b$$ increases and $$a$$ remains constant.
   • $$R$$ decreases when $$b$$ increases and $$a$$ remains constant.
   • $$R$$ remains constant when $$a$$ increases and $$b$$ remains constant.
   • $$R$$ decreases when $$a$$ increases and $$b$$ remains constant.

2. Which value is equivalent to $$\left(5^3\right)^2\cdot5^{-1}$$?

   • $$125$$
   • $$625$$
   • $$3{,}125$$
   • $$15{,}625$$

3. Elena reads $$3$$ pages every $$4$$ minutes at a constant rate. How long will it take her to read a $$255$$-page book?

   • $$4$$ hours and $$15$$ minutes
   • $$5$$ hours and $$40$$ minutes
   • $$6$$ hours and $$20$$ minutes
   • $$7$$ hours and $$5$$ minutes

4. Find the sum of $$7x+4y$$ and $$5x-4y$$.

   • $$12x$$
   • $$12x+8y$$
   • $$2x+8y$$
   • $$35x^2-16y^2$$

5. $$3(2x+3y)=63$$$$27y=9(x-6)$$Which graph represents the solution of the following system of equations?

6. If $$f(x)=2x^3-5x^2+4$$, what is the value of $$f(-2)$$?

   • $$-40$$
   • $$-32$$
   • $$8$$
   • $$16$$

7. The scatter plot shows the number of hours slept and the number of errors made during a driving simulation. The line of best fit is also shown.Based on the line of best fit, approximately how many errors would a person who slept $$4$$ hours be expected to make?

   • $$10$$ errors
   • $$8$$ errors
   • $$6$$ errors
   • $$5$$ errors

8. A rectangular storage container measures $$9$$ feet long, $$5$$ feet wide, and $$12$$ feet high. What is its volume?

   • $$108$$ cubic feet
   • $$270$$ cubic feet
   • $$540$$ cubic feet
   • $$1{,}080$$ cubic feet

9. A fair coin is flipped and a standard six-sided number cube is rolled. What is the probability of obtaining heads and rolling an even number?

   • $$\frac{1}{12}$$
   • $$\frac{1}{6}$$
   • $$\frac{1}{4}$$
   • $$\frac{1}{2}$$

10. A fruit basket contains $$4$$ pears and twice as many apples as pears. The combined number of pears and apples is one-third the number of oranges. How many oranges are in the basket?

    • $$24$$
    • $$32$$
    • $$36$$
    • $$48$$