Algebra-Trigonometry Practice Pretest
for entering first-year students in the
College of Engineering and Physical Sciences
University of New Hampshire

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If you are already accepted as a new student at UNH in September, please check your college:
Engineering and Physical Sciences
Business and Economics
Life Science and Agriculture
Liberal Arts
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UNH-Manchester

The purpose of this test is to give you practice with the sorts of questions that will be asked on the algebra-trigonometry pretests given during June orientation (for students entering the College of Engineering and Physical Sciences), and again at the beginning of the calculus course (for all students in the course).

The results of this practice test will not become part of any course grade at UNH, and will certainly not affect your acceptance at UNH.

The test is written to provide you with an individualized list of particular topics (for example: fractions, or inequalities, or logarithms, or trigonometry) where review now will make the most difference to your success - both with the ''real'' pretests, and in your calculus course at UNH.

We will be able to send you reading materials and homework problems to help you review those topics.

To make your test results meaningful, you should take the test as it was intended:

When you finish the test, you will see a confirmation right away of the answers you checked, and an e-mail with your answers will be sent to us. We will shortly thereafter return your test results to the e-mail address you give us:

Please type your e-mail address here (including the '@' part):

If you have other questions: the Mathematics Department's telephone number is (603)862-2320, and its FAX number is (603)862-4096.

Test questions begin here:

  1. If
    g(t) = t2-4
    2-t
    then g(1) = ¼
    (A)   9/2     (B)   -1     (C)   1     (D)   -3     (E)   3
    Check one answer for problem 1: A B C D E

  2. Which are factors of x3-1?
    (A)   x+1     (B)   x-1     (C)   x2+x+1     (D)   x2-2x+1    
    (E) answers A and C (F) answers B and C (G) answers B and D
    Check one answer for problem 2: A B C D E F G


  3. x
    3y
    		 + 2x
    y
    		 = ...
    has solution:
    (A)
         7x
    3y2
    		     
    		(B)
         7x
    3y
    		     
    		(C)
         3x
    4y
    		     
    		(D)
         7x
    y
    		     
    		(E)
         5x
    3y
    		     
    Check one answer for problem 3: A B C D E

  4. The system of equations
    2x + y = 0,
    x - y = 1
    has solution:
    (A)   x = -1/3, y = -2/3     (B)   x = -1/3, y = 2/3     (C)   x = 1/3, y = 2/3    
    (D)   x = 1/3, y = -2/3     (E) none of these
    Check one answer for problem 4: A B C D E

  5. Let g(x) = mx2 + x + 1. Given g(1) = 8/3, m = ¼

    (A)
        m = 6/3    
    		(B)
        m = 4/3    
    		(C)
        m = 2/3    
    		(D)
        m = ±
    Ö
     
    2/3 
     
    		     
    		(E)
        cannot solve for m     
    Check one answer for problem 5: A B C D E

  6. The fifth root of
    32x10y2
    z5
    is ...

    (A)
        2x2yz-1    
    		(B)
         4x2
    z
    		 y1/5    
    		(C)
         4x2y2/5
    z
    		     
    		(D)
         2x2
    z
    		 y2/5    
    		(E) none of these
    Check one answer for problem 6: A B C D E

  7. Without using a calculator, find another expression for the number (25)1/2(16)3/2 .

    (A)
        320    
    		(B)
         25
    2
    		 · 16
    2
    		     
    		(C)
        40    
    		(D)
        ( 1
    5
    		 ) ( 1
    4
    		 )3    
    		(E)
        (25·16)3/4    
    Check one answer for problem 7: A B C D E

  8. Given that s ¹ -1 and s ¹ -2,
    s2 + 3s+2
    s+1
    		 · 2+2s
    2s+4
    		 = ¼

    (A)
        2(s+1)     
    		(B)
         s2+3s+2
    2(s+2)
    		     
    		(C)
         s+1
    2s+4
    		     
    		(D)
        s+1     
    		(E)
        none of these     
    Check one answer for problem 8: A B C D E

  9. x2 < 9 is equivalent to ...

    (A) x < 3     (B) x < -3     (C) -3 < x < 3     (D) -3 > x > 3     (E) x > 3     (f) x > -3
    Check one answer for problem 9: A B C D E

  10. |3 - x| > 1 is equivalent to ...

    (A) x < 2 (B) either x < 2 or x > 4 (C) x = 0 (D) 2 < x < 4 (E) x > 4
    Check one answer for problem 10: A B C D E

  11. Given y(t) = 3e5t, find the value of t when y(t) = 6.
    (A) 5 ln2     (B)
         ln(1/2)
    5
    		     
    		(C)
         1
    5
    		 ·e2     
    		(D)
         ln 2
    5
    		     
    		(E) none of these
    Check one answer for problem 11: A B C D E

  12. If
        log10 x = 1
    2
    		 ,    then  x = ¼
    (A)
        10    
    		(B)
        100    
    		(C)
        
    Ö
     
    10 
     
    		     
    		(D)
        1    
    		(E)
        0    
    Check one answer for problem 12: A B C D E

  13. Given that x ¹ 0,
    x-1 + 1
    x2
    		 = ¼
    (A)
         x2+1
    x2
    		     
    		(B)
        x-3     
    		(C)
         x+1
    x2
    		     
    		(D)
         x+1
    x
    		     
    		(E)
        none of these
    Check one answer for problem 13: A B C D E

  14. If we are given F(x) = x + x2, then     F(x+h) = ¼
    (A) x2 + x + 2xh + h + h2 (B) x + x2 + h
    (C) x + x2 + h + h2 (D) x2 + x + xh + h + h2
    (E) none of these
    Check one answer for problem 14: A B C D E

  15. Suppose that x, y, z are positive numbers. Then
    log( xy
    z2
    		 )    is
    (A)
        (log x)(log y)-log(z2)     
    		(B)
         (log x)(log y)
    log(z2)
    		     
    		(C)
        log x + log y + 2 log z     
    (D)
        log x + log y - 2 log z     
    		(E)
        none of these     
    Check one answer for problem 15: A B C D E

  16. 2 - 4x < 2x+3 is equivalent to:

    (A)
        x < -1
    6
    		     
    		(B)
        x > -1
    6
    		     
    		(C)
        x < -1
    2
    		     
    		(D)
        x > -1
    2
    		     
    		(E)
        x > -5
    6
    		     
    Check one answer for problem 16: A B C D E

  17. sin2x = ¼
    (A) cos2x(B) sin 2x(C) (cos2x)+1(D) 1 - cos2x(E) cos 2x
    Check one answer for problem 17: A B C D E

  18. Suppose sin q = 1/2, and q is in the second quadrant. What is cos q?
    (A)
        
    -
    Ö
    3 
    2
    		     
    		(B)
        
    -
    Ö
    3 
    4
    		     
    		(C)
        

    Ö
    3 
    2
    		     
    		(D)
         -3
    4
    		     
    		(E)
         -1
    2
    		     
    Check one answer for problem 18: A B C D E

  19. The period of y = 4cos 3x is ...
    (A) 2p    (B) 2p/3    (C) 6p    (D) p/3    (E) 4
    Check one answer for problem 19: A B C D E

  20. In the triangle shown, b = 3 and sin q = 0.2. What is a?

    (A)
         0.2
    3
    		     
    		(B)
        (0.2)(3)     
    		(C)
        cos q    
    		(D)
        sin q    
    		(E)
        (-0.2)(3)     

    Check one answer for problem 20: A B C D E

  21. If tan q > 0, then ...
    (A) sin q > 0(B) cos q < 0(C) q < p
    (D) q is in the first or third quadrant(E) q is in the second or fourth quadrant

    Check one answer for problem 21: A B C D E

  22. Which of the sketches below could be the graph of y = cos q?

    Check one answer for problem 22: A B C D E

  23. A can of tomato soup has radius r and height h. Write an expression for the area of its paper label.

    (A) pr2(B) prh(C) 2prh(D) rh(E) pr2h
    Check one answer for problem 23: A B C D E

  24. A rectangular garden patch of 100 square feet will be dug along a rock wall. The remaining three sides will need to be fenced in. Write a formula for f, the amount of fencing needed.

    (A)
        f = 2x + 2y     
    		(B)
        f = 2x + 100
    x
    		     
    		(C)
        f = xy     
    		(D)
        f = 100 - xy     
    		(E)
        f = 2x + 100
    2x
    		     
    Check one answer for problem 24: A B C D E

File translated from TEX by TTH, version 2.72.
On 8 Mar 2001, 16:17.