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Unformatted text preview: MATH 112 SPRING 2010 EXAM ONE 590 Minutes Name: W Instructor and section: —————‘————_—__________ . There are 10 problems on 11 pages (counting this page).
. No calculators, notes, or books are allowed. . Give exact answers (fractions, square roots, etc.). Decimal approximations
may not receive full credit. . You do not need to simplify your answers unless told to. Answers such as _32\/2—5+6
" 12 . Use only the scratch paper provided. Work appearing on your scratch paper
will not be graded. as are okay. . Show your work and make your methods clear. Unjustiﬁed answers may
receive no credit. . Incorrect work will be held against you.
. Put your ﬁnal answer in the box provided. . Please turn in your exam to your instructor. Problem Possible Score] Your Score
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l———+——'— 1. (15 Points) Basic Algebra ‘ Preform the given operations and simplify completely:
(a) $2(2$)1/3 Answer: Answer: 2. (15 Points) Solve the following equation for 3:.
Be sure to CHECK your answer(s) (and show it). [2:13—3—I93+1}=O 3. (15 Points) Solve the following equation for ac. ‘
Show all work and be sure to CHECK your answer(s) (and Show it). V9+2x+3=x 4. (15 Points) Find the equation for the line perpendicular to the line'whose equation is
2:1: + 3y — 6 = O and passes through the point (—1,2). Explain and Show all work LEquatbn: . ‘J 5. (15 Points) The points (3, 2) and (—1,4) are endpoints of a diameter of a circle. Find the
center and radius of the circle. Center: I Radius: j 6. (15 Points) Find the amounts of 10% acid solution and 20% acid solution which must be
mixed in order to yield 40 liters of a 16% acid solution. Amount of 10% solution needed: Amount of 20% solution needed: 7. (15 Points) Solve the following nonlinear system of equations. Be sure to CHECK your
answers.  l
co x2+2y2
:v—y2 
CD ($73» : 8. (15 Points) Find the center and radius for the circle with the given equation. x2+y2—$+4y:7 Center: Radius: j 9. (15 Points) Use the distance formula to ﬁnd the equation of the parabola with focus (2, 6)
and directrix y = —4. Solve for y. Equation of parabola: y: 10. (15 Points)
(a) Find the intercepts for the graph of the following equation: y=3x2+2a3—6 x—intercept (s): yintercept (s): (b) Find the discriminant of the following quadratic equation: 3x2+2x—6=O Discriminant: (c) What does the answer to part (b) tell you about the roots? (d) Is part (b) consistent with What you found in part (a)? Explain. ...
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 Fall '08
 Carlson
 Quadratic equation, Elementary algebra, following equation, Conic section

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