Lynch 2017 Page 1 of 5. Math 150, Fall 2017 Exam 1 Form A Multiple Choice

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1 Lynch 017 Page 1 of 5 Math 150, Fall 017 Exam 1 Form A Multiple Choice Last Name: First Name: Section Number: Student ID number: Directions: 1. No calculators, cell phones, or other electronic devices may be used, and they must all be put away out of sight.. There are 10 multiple choice problems on this exam, and each problem is worth 5 points. No partial credit will be given. 3. Together with the other part of the exam there will be a total of 105 points possible. 4. The Scantron will not be returned to you, so please mark your answers on this exam paper. 5. You may not discuss the contents of the exam with anyone until the exam is returned in class. THE AGGIE CODE OF HONOR On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work. Signature: Note: You are authorized to use a pencil, eraser, TAMU Scantron, and your own TAMU student ID; use of anything else is a violation of the honor code. If you need any extra paper, please ask your instructor or TA; do not use your own. Scantron: Make sure the following is filled out correctly on your Scantron: Last Name, First Name, Course #, Section #, UIN, Signature, Date: Sept. 017, Exam 1, Form A

2 Lynch 017 Math 150 Exam 1A Page of 5 1. Which of the following properties is NOT used in the equations below? (5x + 4) 5x = (4 + 5x) 5x = 4 + (5x 5x) = = 4 (a) Commutative Property (b) Distributive Property (c) Associative Property (d) Additive Identity (e) Additive Inverse. Fully simplify the following expression. (a) 3y8 x 5 (b) y 8 x 5 (c) 16y8 x 5 y 4 (d) x 5 (e) y4 x 5 (3x) 0 (y ) 3 x 7 ( ) 4(3x) 1 3y 3. Fully simplify and rationalize the expression. 3x 3 3 7x5 y (a) x 3 xy y 3 xy (b) 9xy (c) x 3 x y y 3 x y (d) 9xy 3 x y (e) xy

3 Lynch 017 Math 150 Exam 1A Page 3 of 5 4. Calculate the following. (a) 5 + i (b) 5 i (c) 9 5 (d) 4 (e) 6 (5i ) (3 + 4i) 5. Solve the following quadratic equation in the complex numbers: (a) 3 ± 3 (b) 3 ± i 5 (c) 3 ± (d) 3 ± 3 (e) 3 ± i 5 x 6x 7 = 0 6. Solve the equation B = πs r + s (a) r = π s B (b) r = π B (c) r = πs B s (d) r = πs s (e) r = πs Bs for r.

4 Lynch 017 Math 150 Exam 1A Page 4 of 5 7. Solve the inequality and express your answer in interval notation. (a) [ ) 11 5, (b) (, 3) [5, ) ( (c) 3, 9 ] 5 [ ) 9 (d) (, 3) 5, (e) ( 3, 5] 5x 9 x Solve the inequality and express your answer in interval notation. (a) (, 7) (b) (7, ) (c) (, ) (7, ) ( ) 5 (d), ( (e), 5 ) (9, ) x > 1

5 Lynch 017 Math 150 Exam 1A Page 5 of 5 9. Simplify the expression completely (a) (x )(x + 3) x(x + 3) (b) x x(x ) (c) x + 3 x + 3 (d) x(x ) (e) (x + 3)(x 3) x (x ) 3 x 1 x x 9 x 10. Simplify and rewrite the following expression using fractional exponents. 9xy 5 3 (8x) 4 (a) 6x /3 y 5/ (b) 48x /3 y 5/ (c) 6x 4/5 y 5/ (d) 6x 11/6 y 5/ (e) 48x 11/6 y 5/

6 Lynch, 017 Page 1 of 6 Math 150, Fall 017 Exam 1 Form A Work Out Problems Last Name: First Name: Section Number: Student ID number: Directions: 1. Show all your work neatly and clearly mark your final answer. You must show your work to receive credit. You will be graded not only on the final answer, but also on the quality and correctness of the work leading up to it.. No calculators, cell phones, or other electronic devices may be used, and they must all be put away out of sight. 3. There are 11 problems on this exam worth 5 points each. 4. Together with the other part of the exam there will be a total of 105 points possible. It will be graded out of 100, so there are 5 possible bonus points. 5. You may not discuss the contents of the exam with anyone until the exam is returned in class. THE AGGIE CODE OF HONOR On my honor, as an Aggie, I have neither given nor received unauthorized aid on this academic work. Signature: Note: You are authorized to use a pencil, eraser, and your own TAMU student ID; use of anything else is a violation of the honor code. If you need any extra paper, please ask your instructor or TA; do not use your own. Exam Part Points Earned Points Possible Multiple Choice 50 Page : 10 Page 3: 10 Page 4: 15 Page 5: 10 Page 6: 10 Exam 1 Grade (out of 100)

7 Lynch, 017 Math 150 Exam 1A Page of 6 1. Rationalize the denominator and simplify the expression Answer:. Fully simplify the following expression. 1y7 z 3 75x 8 Answer:

8 Lynch, 017 Math 150 Exam 1A Page 3 of 6 3. Calculate the following for z = i + 5. Write your answer in standard form. z( ) Answer in standard form: 4. Perform polynomial long division for ( x 5 3x 4 x + 3 ) ( x 3 x ) Answer: ( x 5 3x 4 x + 3 ) ( x 3 + x ) =

9 Lynch, 017 Math 150 Exam 1A Page 4 of 6 5. Fully factor the following expression. 4x 10/3 6x 7/3 + 16x 4/3 4x 1/3 Answer: 6. Perform the operations and fully simplify. ( 3x ) + 15x x + 5 x 4 x x x 14 3x + 3 Answer: Bonus Question (5 pts): Find the restrictions to the quotient above. Restrictions: x

10 Lynch, 017 Math 150 Exam 1A Page 5 of 6 7. Solve the following equation. 4x /3 16x 1/ = 0 Answer: x = 8. Solve the following equation. x 7 x = 1 Answer: x =

11 Lynch, 017 Math 150 Exam 1A Page 6 of 6 9. Solve the following equation. x + 6 x 3x = 3 x 5x + 6 Answer: x = 10. Solve the inequality. Write your answer in interval notation 3 < 5 x 11 Answer in interval notation: