Review Day 2 Algebra - Chino Valley Unified School District!=4 c. ln!+ln!=0 d. ln1−ln!=! e....

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AP Calculus AB Algebra Review Day 2 Name ______________________________________ Mrs. Schempp Period _________ Date _____________________ Show all work on this paper. 1. Sketch a graph of the equation = ! and answer the following questions: Simplify completely with no negative exponents. 2. ! ! ! ! 3. !!! ! ! !!! !!! 4. ÷ !!! ! 5. 3 2 ! ! + 3 2 ! ! ! 6. !!!!" (!!!) ! ! 7. ! !! ! !! !! 8. Evaluate without a calculator. a. 64 ! ! = _______ b. 16 ! ! = _______ c. 27 !! ! = _______ d. 32 ! ! = ________ Solve for y’ in simplest form. 9. ! + = 1 + 10. 3 ! ! + 2 ! = 2a. Is the point (3, 2) on the graph? How do you know? b. Is the point (2, 6) on the graph? How do you know? c. Is the function odd, ev en or neither? d. Find the x and y – intercepts.

Transcript of Review Day 2 Algebra - Chino Valley Unified School District!=4 c. ln!+ln!=0 d. ln1−ln!=! e....

Page 1: Review Day 2 Algebra - Chino Valley Unified School District!=4 c. ln!+ln!=0 d. ln1−ln!=! e. ln6+ln!−ln2=3 d. ln!+5=ln!−1−ln!+1 17. Express y in terms of x. a. ln!=!+2 b. ln!=4ln!+3

APCalculusABAlgebraReviewDay2 Name______________________________________Mrs.Schempp Period_________Date_____________________Showallworkonthispaper.1.Sketchagraphoftheequation𝑦 = 𝑥! − 𝑥andanswerthefollowingquestions:Simplifycompletelywithnonegativeexponents.

2.!!!!

3.!!!! !

!!!!!!

4.ℎ ÷ !!!!

5. 3𝑥 − 2!! + 𝑥 3𝑥 − 2 !!!

6. !!!!"(!!!)!!

7. !!!

!!!− 𝑥

!!

8.Evaluatewithoutacalculator.a. 64

!!=_______ b. 16

!!=_______ c. 27

!!! =_______ d. 32

!!=________

Solvefory’insimplestform.9.𝑥𝑦! + 𝑦 = 1+ 𝑦′ 10.3𝑥!𝑦𝑦! + 2𝑥𝑦! = 2𝑦𝑦′

a.Isthepoint(3,2)onthegraph?Howdoyouknow?b.Isthepoint(2,6)onthegraph?Howdoyouknow?c.Isthefunctionodd,evenorneither?d.Findthexandy–intercepts.

Page 2: Review Day 2 Algebra - Chino Valley Unified School District!=4 c. ln!+ln!=0 d. ln1−ln!=! e. ln6+ln!−ln2=3 d. ln!+5=ln!−1−ln!+1 17. Express y in terms of x. a. ln!=!+2 b. ln!=4ln!+3

ReviewDay2Page2Findtheindicatedvalues.11.Find𝑓(1)− 𝑓(5)given𝑓 𝑥 = 𝑥 − 3 − 5 12.Find𝑓(𝑥 + 2)− 𝑓(2)given𝑓 𝑥 = 𝑥! − 3𝑥 + 413.Find𝑓(𝑥 + ℎ)given𝑓 𝑥 = 𝑥! − 1 14.Find! !!! !!(!)

!for𝑓 𝑥 = 𝑥! − 3

15.Given𝑓 𝑥 = 𝑥 − 3and𝑔 𝑥 = 𝑥,completethefollowing.a.f(g(x)) b.g(f(x)) c.f(f(f(x))) d.f(g(f(7)))16.Solveforx.a.ln 𝑒! = 𝑥 b.ln 𝑒! = 4 c.ln 𝑥 + ln 𝑥 = 0d.ln 1− ln 𝑒 = 𝑥 e.ln 6+ ln 𝑥 − ln 2 = 3 d.ln 𝑥 + 5 = ln 𝑥 − 1 − ln 𝑥 + 1 17.Expressyintermsofx.

a.ln𝑦 = 𝑥 + 2 b.ln𝑦 = 4 ln 𝑥 + 3 c.𝑥 = ln !!!

!!

18.Condensetheexpression:2 ln 𝑥 − 3 + ln 𝑥 + 2 − 6𝑙𝑛𝑥