Download Calculus Readiness Practice Test: Algebra, Functions, and Trigonometry Exercises and more Exercises Mathematics in PDF only on Docsity!
1
Practice Calculus Readiness Test
Instructions:
- Read each problem carefully. Then work the problem on a separate sheet of paper and click on the box next to the correct choice. If you change your mind, just click on a different choice.
- Use the navigational buttons at the bottom of each page to go to the next or previous page.
- A calculator is not required for any questions on this test.
- This practice test consists of 25 problems. Click on “Begin Quiz”, then begin.
- Money in a bank triples every 8 years. If $100 is deposited today, what will its value be after 32 years? $8, 500 $8, 100 $1, 600 $
- The y-coordinate of the point of intersection of the graph of −x + 4y = −50 and x + y = 20 is 6 0 − 14 − 6
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- The rectangular box shown below has a square base and a closed top. The height is twice the length of one side of the base. Its surface area in terms of x is
20 x 8 x + 2x^2 10 x^2 6 x
- If 2^13 is approximately equal to 8000, then, of the following, which best approximates 2^26? 640 , 000 6 , 400 , 000 64 , 000 , 000 800013
- 2 −^5 · 642 /^3 =
(^512 5121 1 )
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- A function f is even if f (−x) = f (x) for each x in the domain of f. Of the following, which best represents the graph of an even function?
(a) (b) (c) (d)
- If
(2x − 3)(x + 5) x − 7
= 0 then x =
5 , 7 , − 32 5 or 32 −5, 7, or 32 −5 or (^32)
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- Of the following, which best represents the graph of x^2 + y^2 − 2 y = 0?
(a) (b) (c) (d)
- If f (x) = 52 xx+3+3 then f (n + 1) =
8 5
5 n + 3 2 n + 3
5 n + 8 2 n + 5
5 n + 4 2 n + 4
- The slope of the line that goes through the points (− 5 , 4) and (3, −12) is −
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- In the figure shown below, what is the distance between the points P and Q?
- The length of a certain rectangle is 6 meters more than twice its width. What is the perimeter of the rectangle if the area of the rectangle is 260 square meters? 54 meters 60 meters 66 meters 72 meters
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- What is the area of the rectangle shown in the figure below? (Note: The figure is not drawn to scale.)
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- csc(30◦) =
2 √^23
- For which values of x in the interval 0 ≤ x ≤ 2 π does (sin x − 1)(sin x − 5) = 0? π 2 only^ 1 and 5^ π^ 0 and 2π
- In the figure below, if sin R = 58 and r = 2, then what is q?
16 5
5 4 5
5 16
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- In the right triangle shown in the figure below, tan θ =
x x
x^2 − 1 x^2 + 1
x^2 − 1
- Click on “End Quiz” to have the computer grade your test. Then click on “Correct My Answers” to see which questions you got wrong.
- Click on the green dots to see detailed solutions for each problem.
Solutions to Practice Tests 13
Solution to Question 2: Adding the two equations we obtain 5y = − 30 or y = −6. Return
Solutions to Practice Tests 14
Solution to Question 3: The areas of the top and bottom are each x × x = x^2. The area of each of the four sides is x × 2 x = 2x^2. So the total surface area is 2(x^2 ) + 4(2x^2 ) = 2x^2 + 8x^2 = 10x^2. Return
Solutions to Practice Tests 16
Solution to Question 5: 2 −^5 = 215 = 321 and 64^2 /^3 =
= (4)^2 =
16, so 2−^5 · 642 /^3 = 321 · 16 = 1632 = 12. Return
Solutions to Practice Tests 17
Solution to Question 6: The graph is below the x axis for 1 < x < 3. Return
Solutions to Practice Tests 19
Solution to Question 8: If f (x) = f (−x) for all x, the the graph of f must be symmetric with respect to the y axis. The only graph that has this symmetry is (c). Return
Solutions to Practice Tests 20
Solution to Question 9:
(2x − 3)(x + 5) x − 7
= 0 ⇒ 2 x − 3 = 0 or x + 5 =
0 ⇒ x = 32 or x = −5. Return
