Math 95 Student Name: Fall 2016 Exam 4a Score: out of SHOW ALL YOUR WORK! PLACE ANSWERS ON BLANKS PROVIDED. For problems 1 -­‐ 3, evaluate each expression. 1. 2!! 2. 4! − (−5! ) 3. 5𝑥 ! − 𝑥 ! − 7𝑥 + 10 for 𝑥 = −2 1. ____________________________________ 2. ____________________________________ 3. ____________________________________ For problems 4 -­‐ 5, simplify each expression. Write your answers with positive exponents only. Evaluate wherever possible. Assume all variables represent non-­‐zero real numbers. 4. 5!! ∙ 5!! ∙ 𝑛!! ∙ 𝑛 ∙ 𝑛!! 5. 3𝑥 ! 𝑦 ! 𝑧 ! −2𝑥𝑦 ! 𝑧 ! ! 4. ____________________________________ 5. ___________________________________ For problems 6 -­‐ 7, simplify each expression. Write your answers with positive exponents only. Evaluate wherever possible. Assume all variables represent non-­‐zero real numbers. 6. !!
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7. 6. ___________________________________ !! !! ! !! ! !
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7. ___________________________________ For problems 8 -­‐ 9, simplify each expression. Write your answers in scientific notation. −12
8. 15 × 10
−8 3 × 10
9. 5 × 10!! 7 × 10! 8. ______________________________________ 9. ______________________________________ For problems 10 -­‐ 1, perform the indicated operation. Simplify your answers completely. 10. −4𝑥 ! − 5𝑥 − 10 − 4𝑥 ! − 10𝑥 − 15 11. 15𝑥 ! 𝑦 ! −2𝑥 ! + 𝑥𝑦 − 3𝑦 12. 4𝑘 − 2 5 − 3𝑘 13. 5𝑡 + 2 ! 10. ___________________________________ 11. __________________________________ 12. __________________________________ 13. __________________________________ For problems 14 -­‐ 17, perform the indicated operation. Simplify your answers completely. Write all answers with positive exponents only. 14. 2𝑥 − 1 𝑥 ! − 6𝑥 + 5 14. __________________________________ 15. 4𝑥 − 3𝑦 4𝑥 + 3𝑦 16. 𝑥 − 7 𝑥 + 2 𝑥 − 2 15. __________________________________ 17. 12𝑥 ! − 15𝑥 ! + 18𝑥 ÷ 3𝑥 ! 16. __________________________________ 17. ___________________________________ For problems 18 -­‐ 19, perform the division. If there is a remainder, type your answer in the form: quotient + 18. 19. !"#$%&'"!
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. 18. _________________________ 19. ____________________________