Northwest High School s Algebra 2

Transcription

1 Northwest High School s Algebr Summer Review Pcket 0 DUE August 8, 0 Studet Nme

2 This pcket hs bee desiged to help ou review vrious mthemticl topics tht will be ecessr for our success i Algebr. Istructios: DO ALL PROBLEMS WITHOUT USING A CALCULATOR. Show ll work tht leds ou to the correct solutio. Additiol copies of this pcket m be obtied from the Northwest High School website: ALL work should be completed d red to be tured i. This pcket will cout s prt of our first qurter grde. If ou hve questios regrdig the summer mth pcket, plese cll Aimee Cow t (0) ENJOY YOUR SUMMER! WE ARE LOOKING FORWARD TO SEEING YOU IN THE FALL.

3 Tble of Cotets. Order of Opertios pge. Solvig Equtios pge. Epoets pge. Add, Subtrct & Multipl Polomils pge. Qudrtic Formul pge 6. Grphig Fuctios pge 6-7

4 Order of Opertios Hits/Guide: The rules for multiplig itegers re: positive positive = positive egtive egtive = positive positive egtive = egtive egtive positive = egtive The rules for dividig itegers re the sme s for multiplig itegers. REMEMBER: Order of Opertios (PEMDAS) P pretheses E epoets M/D multipl/divide which comes first A/S dd/subtrct which comes first Eercises: Simplif ech epressio. Show ll work Use groupig smbols to mke the equtio true = 7

5 Hits/Guide: Solvig Equtios Equtio Solvig Procedure:. Multipl o both sides to cler the equtio of frctios or decimls.. Distribute.. Collect like terms o ech side, if ecessr.. Get ll terms with vribles o oe side d ll costt terms o the other side.. Multipl or divide to solve for the vrible. 6. Check ll possible solutios i the origil equtio. Emple: 7 Distribute. 0 7 Combie like terms. Simplif. Move ll terms with vribles to oe side. Divide to isolte the vrible. Eercises: Simplif ech epressio without the use of clcultor. 6 t 9. r

6 Epoets Hits/Guide: Rules of Epoets 0 Negtive Epoets: Product Rule: m m m Power Rule: m Quotiet Rule: m m Quotiet to Power: b b b Product to Power: b Eercises: Simplif usig the Rules of Epoets b 0... Rewrite usig positive epoet... 8.

7 Additio, Subtrctio d Multiplictio of Polomils Hits/Guide: Ol like terms c be dded or subtrcted. Like terms hve the sme vribles with the sme epoets. Ol the coefficiets (umbers) re dded or subtrcted. A subtrctio sig i frot of the pretheses chges ech term i the pretheses to the opposite. Multipl the coefficiets d use the rules of epoets for the vribles. Remember: FOIL F first O outers I iers L lst OR Bo Method Emples: ) Add the polomils. ) Subtrct the polomils ) Multipl the polomils. 8 8 Eercises: Add, subtrct, or multipl the polomils. Show ll work

8 Qudrtic Formul Hits/Guide: Assume tht the rdicl eteds over the whole epressio b c. Equtio must be i the form b c = 0 (stdrd form) to begi. Tr to fctor first. If ou cot fid fctors, the use the qudrtic formul. Qudrtic Formul b b c Emple: Solve 7 Write the equtio i stdrd form: 7 0 Idetif, b, d c for the formul: =, b = -, c = -7 Substitute ito the formul: Simplif: Seprte ito two solutios: Solutios:. d. d Eercises: Solve usig the qudrtic formul. Be sure the equtio is i stdrd form before usig the qudrtic formul. Show ll work

9 Grphig Fuctios Use slope (m) d -itercept (b) to grph the followig lier equtios = m + b

10 Complete the tble of vlues d sketch the grph for ech fuctio. 7. = X Y 8. = X = Y X - 0 Y 9 0. = X - 0 Y 7777