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Name:Algebra 1 2018Summer Math Packet for students entering ALGEBRA 1Over the summer to better prepare you for the challenges of Algebra next year, we have puttogether some worksheets for you to complete over the summer. The packet will be due thefirst day back to school in the fall.The worksheets will cover the following topics:For ALL Algebra 1 students to completeReview Section 1 – Adding & Subtracting FractionsReview Section 2 – Multiplying & Dividing FractionsReview Section 3 – Operations with IntegersReview Section 4 – Order of OperationsReview Section 5 – Evaluating ExpressionsReview Section 6 – Plotting PointsReview Section 7 – StatisticsReview Section 8 – ConversionsFor ACCELERATED Algebra 1 students to completeReview Section 9 – Simplifying ExpressionsReview Section 10 – Solving EquationsReview Section 11 – Algebraic TranslationsReview Section 12 - ProbabilityCompleting this packet: Assignments will be passed in on the FIRST day of school and will count towards yourhomework grade for Term 1. You will be TESTED on this information during the first week of school. All of this information will relate to Algebra 1. It is imperative that you know eachconcept to be successful during the class. For each individual problem you should:o Read Directionso Show ALL worko Leave answers as REDUCED FRACTIONS, when possible. No decimal answersshould be given!o NO WORK NO CREDIT!Good Luck! We hope you have a wonderful summer! See you in the fall!!
Review Section 1: Adding/Subtracting FractionsNo Calculators Permitted. ALL work must be shown!!1. Convert to amixed #2. Convert to amixed #113Answer:3. Convert to animproperfraction2513Answer:24. Convert to animproperfraction35Answer:45. Convert to animproperfraction511Answer:113Answer:Add the following fractions. Make sure you have a common denominator!6.1 16 15 15Answer:7. 5 538. 2 15 109. 2 15 710. 2 13 11Answer:Answer:Answer:Answer:Subtract the following fractions. Make sure you have a common denominator!11. 3 2 17712. 5 4913. 3 14 214. 1 27 315. 3 110 9Answer:Answer:Answer:Answer:Answer:Review Section 2: Multiplying/Dividing FractionsNo Calculators Permitted. ALL work must be shown!!Reduce the following 2Answer:5.634Answer:
Multiply the following fractions. Make sure to reduce all answers.6. 1 27. 1 28. 1 1 2 29. 5 311 92 33 163 5Answer:Answer:Answer:Answer:10. 3 1 2 327Answer:Divide the following fractions. Make sure to reduce all answers.11. 1 29 5Answer:12. 3 17 2Answer:13. 7 495Answer:14. 6 273Answer:15. 3 45Answer:Review Section 3: Operations with IntegersNo Calculators Permitted. ALL work must be shown!!Use mental math to simplify the following.2. ( 23) ( 10)3. 5 ( 7)1. 9 22Answer:6. (3)( 12)Answer:Answer:7. (2)(5)( 3)Answer:Answer:8. 0 5 3Answer:4. ( 2) 17Answer:9. 3 6Answer:5. ( 5) ( 3)Answer:10. 14412Answer:
Review Section 4: Order of OperationsNo Calculators Permitted. ALL work must be shown!!** For fraction answers, make sure they are reduced!Use order of operations (PEMDAS) to simplify the following!1.2.2 6 8 4Answer:6.(8 5)2 2 5Answer:7.22Answer:4.10 8 6 2 4 2Answer:8. 3 6 17 5 2 4 253. 1 2 5 3 6 Answer:4 6 3 7Answer:Answer:44 5 3 11 Answer:10.9.245.2 27 12 8 3 3Answer: 4 5 3Answer:Review Section 5: Evaluating ExpressionsNo Calculators Permitted. ALL work must be shown!!**For fractions answers, make sure they are reduced!Evaluate the following when x 2, y 1, z 32.1.12 z y 2Answer:3.yz 3yAnswer:5x 2 yAnswer:4.5.xyzAnswer: x y 3z2Answer:
Evaluate the following when a 1 , b 2 , c 13527.8.6.c bb ca baAnswer:Answer:Answer:9.a b cAnswer:10.a cAnswer:Review Section 6: Plotting PointsPlot each ordered pair on the given graph.1.(1, 2)2.(3, 5)3.(0, 6)6.4.( 1, 1)5.7.(7, 0)8.(2, 3)9.(5,1)( 1, 3)( 5, 7)
Review Section 7: Statistics & GraphsCalculators may be used on this section.*Answers may be rounded to the nearest tenth.Find the mean, median, mode and range of the following sets of 6. Over six months, a family’s electric bills averaged 55 per month. The bills for the first five monthswere 57.60, 60, 53.25, 50.75, and 54.05. What was the electric bill in the sixth month?7. Use the data set 14, 18, 12, 17, 14, 19, 18 and find the minimum, first quartile, median, third quartile,and maximum of each data set, then draw a box-and-whisker plot.Use the line plot to answerthe questions below.8. How many numbers aregreater than 28?9. Find the mean, median, mode, and range of the data from the line plot below10. Find the mean, median, mode, and range of thedata in the stem and leaf plot
Review Sheet 8: ConversionsCalculators may be used on this section.2. 165 pounds tokilograms3. 22647 inchesto miles4. 4 quarts intocups5. 12 cups intofluid ouncesAnswer:Answer:Answer:Answer:6. 26 ouncesinto pounds7. 1 ton intoounces8. 10 quarts intoliters9. 9826 feet intokilometers10. 10 pints intofluid ouncesAnswer:Answer:Answer:Answer:Answer:1.43 miles to feetAnswer:If you are taking Algebra 1 ACADEMIC – STOP HERE! You are DONE! If you are taking ALGEBRA 1 ACCELERATED – Keep Going!!
Sections 8, 9, & 10 are to be done by students enteringALGEBRA 1 ACCELERATED ONLY!Review Section 8: Simplifying Expressions (ACCELERATED ONLY!)No Calculators Permitted. ALL work must be shown!!** Simplify the following by combining like terms.2. y x 2 x 3 y1. 2 x 3x 5x x3. a a a 3a5. 1 d 3d 2 d 1 d336. b ( c) 3b c c1 2 x 2 3 8. a a 1 a62**Simplify the following by distributing.9. 2(2 x 3)10. 5(9a 2)13.7. m a t h 4a 6h4. c 5c 1 314. 3 x 2 9 11. 6(3x 2)3 24 3412. ( x 5)1 4 15. x 16. 5( 2 x 3)
Review Section 9: Solving Equations (ACCELERATED ONLY!)No Calculators Permitted. ALL work must be shown!!** Solve the following equations.𝑥1. 𝑥 3 52. 93. 3𝑥 1821𝑥31𝑥3256. 5𝑥 27. 38. 𝑥 5 69. 2𝑥 1 510. 2 3𝑥 811. 2 3 912. 8 2 313. 5𝑥 3 1214. 4𝑥 3 1815. 3 2 916. 𝑥 17. 3𝑥 5𝑥 12 2018. 2(𝑥 1) 1219. 3 4(𝑥 1) 1520.5. 94. 𝑥 4 2𝑥𝑥𝑥123423 2(2𝑥 1) 16
Review Section 10: Algebraic Translations (ACCELERATED ONLY!)** Translate the following into an algebraic expression or equation.1. Two more than a 2. Two less than a3. Half of a numbernumber (x)number (x)(x)4. Twice a number(x)5. Two decreased bya number (x)6. The quotient of anumber (x) and 127. twice a number (x)decreased by 15 isequal to -27.8. 9 less than 7times somenumber (x) is -69. The sum of anumber (x) andeight is less than210. Eleven increased bya number (x) is -1211. Seven plus fivetimes a number (x)is greater than orequal to -912. Eight times anumber (x)increased by 6 is6213. One half of anumber (x) isequal to 1414. 6 less than 8 times a 15. A number (x)number (x) is equaldivided by 9to 1416. A number (x)decreased by 5
Review Section 11: Probability (ACCELERATED ONLY!)1. A number is chosen at random from 1 to 50. Find the probability of selecting either a multiple of4 or a multiple of 5.2. Joshua spun the arrow on each spinner shown below exactly once. He recorded the sum of theresulting two numbers.What is the probability that the sum of the resulting two numbers will be 2?3. The table below shows the distribution of eye color and hair color for the 60 students in chorus.a. How manystudents in thechorus have brownhair?b. What fraction ofthe students withblond hair havehazel eyes?c. What percentage ofall the studentshave both greeneyes and red hair?d. What percentage ofall the studentshave green eyes orred hair?4. A random sample of 200 teenagers particpated in a taste test. Each teenager sampled fourchoices of fruit drink (labeled A, B, C, and D), and then were asked to pick a favorite. The tableshows the results of this taste test.a. What percentage ofthe participantswere girls?b. What percentage ofthe participantspreferred A?c. What is the ratio ofboys who preferredD?d. What is the ratio ofthe participantswho were girls thatpreferred B?
Name: _ Algebra 1 2018 Summer Math Packet for students entering ALGEBRA 1 Over the summer to better prepare you for the challenges of Algebra next year, we have put together some worksheets for you to complete over the summer. The packet will be due the first day back to school in the fall.
