2012 SUMMER WORKBOOK FOR STUDENTS ENTERING ALGEBRA 2 OR ALGEBRA 2 HONORS

Transcription

1 0 SUMMER WORKBOOK FOR STUDENTS ENTERING ALGEBRA OR ALGEBRA HONORS This workbook is to be doe by ay studet takig Algebra or Algebra Hoors (courses or ). There is space provided to do work for each problem ad for each aswer. If you require more space the you are to do the work o a separate piece of loose leaf idicatig the page ad problem umber beig doe ad attach to this workbook. This workbook is due o the first day of your Algebra class (September 0). You will receive a grade for the workbook ad you will also be tested o this material durig the first week of class. Name: Homedroom:

2 Page The followig are sets of real umbers: (N)atural umbers, (W)hole umbers, (I)tegers, Ratioal or Irratioal umbers. Name the set or sets to which each umber belogs. Aswers 0) ) ) ) ) ) 80 ) 0 ) 77 7 ) ) 7 6 ) 6 6) 96 6) 0 7) 6 7) 8) 8) 0 9)

3 Page (aswer o the lies) Write each as a algebraic epressio ) u decreased by 7 Write each as a verbal epressio ) ) the differece of 0 ad ) a 9 ) half of ) 9 ) the quotiet of ad 7 ) ) icreased by 6 ) 6 6) the product of ad 7 Evaluate each epressio ) squared 7) the sum of q ad 8 ) twice 6 8) twice q ) 0 less tha 7 9) cubed ) the product of ad 0) the quotiet of 8 ad ) 0 icreased by 8

4 Page (aswer o the lies) Simplify each epressio. ) ) 6 7 ) 0 ) 9 ) v ) 8 ) 8 ) 8 b ) 7k ) 7 6) 7a 6 6) 6 7) m 6 7) 6 8) r 8 8) 6p 7 9) 8 8 0) 6 7 9) 0) 9 0

5 Page Fid each quotiet. Aswers Fid each product. ) 0 ) 9 ) 0 ) 8 ) ) 6 ) 8 6 ) 7 ) ) 0 7 6) 7 6) 7 7) 6 6 7) 8 6 8) 6 8) ) 6 9) 8 7 0) 8

6 Page Evaluate each epressio Aswers ) 0 ( 0) 7 ) ( ) ) ) ( ) ( 7) ).8 (.) ) ( 8) ).8 (.7) ) ( 9) ) 7. 8 ) ( 8) ( ) 6) ( 0.8) ( 7.). 6) ( 8) 7).7 (0.8.0) 7) ( ) ( ) 7 8) 7 ( ) 7 8) 8 9) 6 ( 7) ( ) ( ) 7 9) 0) (-)++(-)+ 0) 7

7 Page 6 Evaluate for the give values. Aswers ) y ; for =, ad y= ) p ( 9 ( m q)) ; for m=, p=, ad q= ) p m ; for m=, ad p= ) ( a b) 6; for a=, ad b= ) a b ; for a=0, ad b= ) ( p ) ( m ) ; for m=, =, ad p= ) y 9 ; for =, ad y= ) p ( m) ; for m=, =, ad p=6 ) m p ;for m=, ad p= ) k h ; for h=, ad k= 6) y ; for y=7, ad =7 6) y z 6; for =, y=, ad z= 7) z( y) ; for =6, y=8, ad z=6 y 7) z y ; for =7, y=, ad z= 8) y y ; for =9, ad y=0 bc 8) c (7 a) ; for a=, b=8, ad c= 9) p m ; for p=7, ad m= 0) z ( y ) ; for y=, ad z=7

8 Page 7 ) 8 ( ) Evaluate each epressio. Aswers ) (6+7) ) 0 ( ) ) ) ( 6) 7 ) ) 9 ) (0 ) ) ( 8 ) 6 ) 0 [ (0 8)] 6) ) ) 7) 8( ) ) ( 6 ) 9 7 8) ( 6 7) 6 7 9) 0) 8 ( 9) 9) ( 0 ) 6 8 0) ( 6)

9 Page 8 Solve each equatio. Aswers ) 8 = ) 6 a ) m = m 9) 0 ) -(7 ) = 9 r 0) 0 ) + = -(-7) ) 6 0 ) = -8(6 + ) 6) -( + ) + (6 + ) = v 9 ) 8 7) -( ) + (-8 ) = - 8 ) (+) = -

10 Page 9 Solve each absolute value equatio. Aswers ) 6m 7) r ) k a 8) 8 ) 7 6 9) 9 ) 7 0) ) 8 76 ) 6 0 6) p ) 8 t

11 Page 0 Solve each equatio. Remember to check for etraeous solutios. Aswers ) 0 7) 0 m 0 ) v 8) ) a 9) 8 0 ) 0) 8 ) 8 t ) 7 6) ) k 0 6 k

12 Page Aswers Solve the followig. Roud each aswer to the earest hudredth. ) Jim ca pait a house i hours ad Bill ca do the same job i 6 hours. How log would it take them if they worked together? ) It takes May 0 hours to clea a attic ad Moe ca do it i 7 hours. How log would it take them workig together? ) ig aloe it takes Susa hours to harvest a field. Viola ca harvest the same field i 6 hours. How log would it take them workig together? 6) Breda ca wa a floor i 6 miutes. Oe day her fried Pat helped her ad it took oly.76 miutes. How log would it take Pat aloe? ) ig together Mary ad Jill ca pait a fece i 6 hours. Mary ca pait it by herself i 0 hours. How log would it take Jill workig aloe? 7) ig together Je ad Liz ca mop a warehouse i. hours. Had she doe it aloe it would have take Je hours. How log would it take Liz workig aloe? ) Jaso ca tar a roof i 9 hours. With help from his fried Terry it takes.7 hours. How log would it take Terry aloe? 8) Bob paited his house for hours whe Al joied him. Together they fiished 6 hours later. How log would it take Al aloe?

13 Page Solve the followig. Aswers ) oz. of a % alcohol solutio was mied with oz. of a 66% alcohol solutio. Fid the cocetratio of the ew miture. ) How may mg. of a metal cotaiig % ickel must be combied with 6 mg. of pure ickel to form a alloy cotaiig 78% ickel? ) How much soil cotaiig % sad do you eed to add to a cubic ft. of soil cotaiig % sad i order to make a soil cotaiig % sad. 6) yd. of soil cotaiig % sad was mied ito 6 yd. of soil cotaiig % sad. What is the sad cotet of the miture? ) 9 quarts of a sugar solutio was mied 6 quarts of a 90% sugar solutio to make a 8% sugar solutio. Fid the percet cocetratio of the first solutio. ) 9 lbs. of mied uts cotaiig % peauts were mied with 6 lbs. of aother kid of mied uts that cotai 0% peauts. What percet of the ew miture is peauts? 7) A metallurgist eeds to make. lbs. of a alloy cotaiig 0% gold. He is goig to melt ad combie oe metal that is 60% gold with aother metal that is 0% gold. How much of each should he use?

14 Page. Set up a equatio ad solve the followig. A UPS je t trasport made a trip to Miami ad back. O the trip there it flew at mph ad o the retur trip it flew at 80 mph. How log was the flight there if the retur trip was 9 hours? Aswers. A delivery truck left its termial ad traveled west at 0 mph, aother truck left a hour later ad traveled east at 0 mph. After how may hours was the secod truck 00 miles from the first?. A Coast Guard ship made a trip to NYC ad back. The trip there took hours ad the retur trip took hours. It averaged 6 kots o the retur trip. Fid the average speed of the trip there.. A ambulace left the hospital ad drove south. hours later a police car left drivig k/h faster attemptig to catch up to the ambulace. The officer caught up after hours. Fid the average speed of the ambulace.. A Mag-Lev trai traveled from Paris to Berli ad back. It took hour less time to Berli tha back to Paris. The average speed o the trip was 0 k/h. The average speed o the way back was 00 k/h. How may hours did the trip there take? 6. Joe left the hotel ad traveled towards the moutais. Mary left. hours later drivig mph faster tha Joe. After. hours she caught up. Fid Joe s average speed.

15 Page Solve each equatio. Check for etraeous solutios.. Aswers.. 6. b b b b m m m 8. a a a a a a 9. v v v v p p p p p 6.

16 Page Solve each of the followig, roud your aswers to the earest teth or teth of a percet.. What percet of 8.6 is?. What percet of 8 is? Aswers. % of 8 is what?. % of.7 is what?. is what percet of What percet of 7 is? 7. 7% of 9 lbs. is what? 8. % of what is 7 miutes? 9. % of miles is what? 0. What is 8% of. iches is 6% of what?. hours is 88% of what? 9 grams?

17 Page 6 Solve the followig proportios. Aswers r 7. m r

18 Aswers to odd problems for the Alg.II Summer book. Page ) It, R ) Irr ) N, W, It, R 7) It, R 9) R ) It, R ) Irr ) R 7)N, W, It, R Page Algebraic epressios ) u-7 ) ) +6 7) q+8 9) Verbal Epressios ) divided by ) 9 decreased by ) a umber times 6 Evaluate ) ) 7 ) 8 Page ) -0+ ) + ) -+ 7) m-0 9) + Page (cot.) ) -+ ) 0v+ ) -k+8 7) +0 9) + Pqge Quotiets ) ) ) -6 7) 8 9) Products ) -99 ) - ) -7 7) 08 9) -0 Page ) ) ) -6 7) 0 9) - ) 8 ). ). 7) -. 9) 9 Page 6 ) ) ) or Page 6 (cot.) 7) 8 9) 9 ) ) ) 7) 8 Page 7 ) 9 ) 0 ) 0 7) 67

19 9) 6 ) 6 ) ) 97 7) 9) 9 Page 8 ) -7 ) ) - 7) - 9) -0 ) 8 ) -6 Page 9 ) 7 or -7 ) or - ) or -7 7) or - 9) ) or - Page 0 ) 00 ) ) 6 7) 000 9) 0 ) 9 Page ).7 hrs. ) hrs. ) 6. hrs. 7) 8.99 hrs Page ) 6 % ) 80 % ) mg. 7) 6. lbs. of each Page ) 0 hrs. ) hrs. ) 8 k/h Page ) ) - ) - 7) 0 9) ) Page ) 0. % ) 6. ). % 7) 69. lbs. 9).6 Page (cot.) ). Page 6 ) ) ) 9 7) 9) or 7 or 7 7