Study Guide for Exam 3

Transcription

1 Mth 05 Elementry Algebr Fll 00 Study Guide for Em Em is scheduled for Thursdy, November 8 th nd ill cover chpters 5 nd. You my use "5" note crd (both sides) nd scientific clcultor. You re epected to no (or hve ritten on your note crd) ny formuls you my need. Thin bout ny formuls you needed for homeor. For emple: or formul, fctoring rules, etc... For Em you ill need to be ble to:. Fctor polynomil by fctoring out the GCF of ll the terms. 5. * Distributive Property: b c ( b c). Fctor polynomil by grouping. 5. * Remember: ( )( ) mens multipliction, so hen plcing prenthesis be sure to hve n ddition sign ( )+( ). If the third term hs negtive sign, plce it inside the nd set of prentheses nd dd plus beteen. It is not fully fctored until it s mthemticlly mnipulted to be multipliction ( )( ). For qudrtics of the form b c, find numbers tht dd to bnd multiply to c * For b c, both numbers re positive * For b c, both numbers re negtive * For b c, the smller number is negtive nd the bigger number is positive * For b c, the smller number is positive nd the bigger number is negtive. Fctor trinomil ith leding coefficient tht is one. 5. * For b c,, find the numbers mentioned bove. These numbers my be used directly in your binomil fctors. You my lso use these numbers to replce the b term nd fctor by grouping (hoever, it just cretes more or). 4. Fctor trinomil ith leding coefficient tht is not one. 5. For b c,, you must fctor by grouping. Find the numbers mentioned bove. Use these numbers to replce theb term nd fctor by grouping. 5. Fctor polynomil using combintion of fctoring methods. 5.4, 5.5 nd 5. * difference of squres: b ( b)( b) * sum of cubes: b ( b)( b b ) * difference of cubes: b ( b)( b b ) NOTE: For the fctoring problems bove, the only instructions I ill give you on the em ill sy: Fctor the polynomil completely. I ill not put ny prime polynomils on the em, so do not stte prime on ny nsers. It ill be up to you to figure out hich fctoring tool or method to use.. Solve qudrtic equtions by fctoring. 5. * Set ech eqution equl to 0 nd solve by fctoring. (...)(...) 0... nd.... Solve ppliction problems by fctoring. 5.8 * These problems include using the Pythgoren Theorem, revenue problems, nd projectiles 8. Find ll numbers for hich rtionl epression is defined.. * Rule out vlues of tht cuse the denomintor to equl zero. numertor denomintor denominto r 0. So, (...)(...) 0... nd.... Simplify rtionl epressions.. * You must fctor before cnceling common fctors! Only cncel common fctors.

2 5 4 Cnceling ith +/- signs beteen is HIGHLY ILLEGAL! 0. Multiply to rtionl epressions. Simplify the result.. * Fctor ll polynomils nd cncel ny common fctors on top nd bottom, or digonlly.. Divide to rtionl epressions. Simplify the result.. * Fctor ll polynomils, flip the second one, nd multiply.. Add or subtrct to rtionl epressions ith the different denomintors. Simplify the result, if possible.. * Get common denomintor by multiplying the numertor nd denomintor of ech term by htever is missing from the LCD.. Solve rtionl eqution by multiplying ech term by the LCD (this clers your frctions!). Remember you hve to chec the proposed solution in the originl eqution to eliminte ny vlues tht ould me n epression undefined. The instructions I ill give you ill only sy "Solve the eqution" it is up to you to remember to chec the nsers nd remove etrneous solutions Solve ppliction problems tht involve rtionl equtions..5 * These problems include distnce problems tht hve the sme time nd or problems. 5. Solve proportions.. * These problems use cross multipliction to solve unnon quntities. Prctice Problems for Em After reding your notes nd looing over your homeor, ttempt these problems. Try to do them ithout looing t your notes or boo. After you ve ttempted the problems, chec your nsers. The solutions to ll Chpter Test problems, even nd odd, re vilble in the bc of the boo. You cn lso use the videos online to help ith ny concepts you my hve missed. Lstly, bsed on ho you did on these problems revise the info you ill rite on your inde crd. Chpter 5 Prctice Test Pge 5 #,, 4, 5,,, 8, 0,,, 4,,, 8,,,, 4,, 0, Also try: Pge 4 #5,, 8 Chpter Prctice Test Pge 4 #,, 4, 5,,, 8,, 0,,,, 4, 5,, Also try: Pge 40 #5, Pge 0 #

3 Mth 05 Chpter 5 nd Em Revie Nme Fctor the folloing completely... y 4 ( y 4) ( y 4). 8 y 4y y y 5 y. y 0 y 8. 4 y y

4 . 5. y. 4. m n 5. Solve for t. t t 5. Solve for r. r r. The eqution for the height of bll thron into the ir is h ( t) t 40t 50, here h(t) is the height of the bll fter t seconds..) Clculte the time it tes for the bll to be feet bove the ground. b.) Clculte the height of the bll fter seconds.

5 8. Find the missing length by using the Pythgoren Theorem, c b, nd then fctoring.. Stte ll vlues of the vrible for hich the folloing rtionl epression is undefined Simplify.. Multiply. 4. Divide. 8. Add Subtrct. 5 p p - 0

6 5. Subtrct. 4. Subtrct. n n n 8. Solve for d. d 4 4 d 4 d 4 8. Solve for.. Solve for m. 0 m m 0 0. Solve for. 8 4

7 . The rte of current of river is mph. If it tes the sme mount of time to trvel 0 miles donstrem, ith the current, s miles upstrem, ginst the current, find the speed of the bot in still ter. Let = With the current dist time Rte Distnce rte Aginst the current. Together, you nd your friend cn rebuild n engine in hours. Alone, your friend cn rebuild n engine in hours. Ho long ould it te you to rebuild n engine lone?. Sy pipe cn fill tn in hours nd nother pipe cn empty the tn in. Ho long ill it te to fill the tn if both pipes re floing? 4. On mp, inches corresponds to 00 miles. Find the ctul distnce beteen to cities tht re inches prt on the mp?