Dear Sith Grade Parents and Guardians, For middle school students, summer is all about getting rest, eploring new places and enjoying time with family and friends. At the same time, students need to feed their curiosity with books, games and other challenging activities. Reading is the most important part of a long summer vacation, and strength in reading comprehension is closely related to success in math. We encourage all students to read over the summer because becoming a ferocious reader often is a great way to become successful in anything, including math. The provided packet is simply a suggestion for summer practice. It is not designed as a required assignment. Each student will be given a letter from his or her teacher outlining the topics to make a priority to review over the summer. Answer keys have been provided to all worksheets. Teachers will not collect this work in September, but if your child would like feedback about the work, he or she can turn it to the teacher in September. It is also important to make math relevant to a student's daily life. Although we provide you with a packet in case you wish to follow a more structured work plan in math during summer months, we strongly recommend you try to make math a part of daily activities, instead of just going through worksheets. Either on a long road trip or a flight, eploring a new city or hiking a mountain, take the opportunity to communicate with your child through mathematics. You can be very creative with these simple facts of daily life, and they can add a lot of fun to cultural and natural epeditions. When students connect the concepts they are studying in their math class to real life eperiences, it is incredibly valuable to their long-term development as mathematicians. In other words, trying to make use of fractions, ratios and proportions, percent, and unit conversion, all of which are constantly used when traveling, is a great way to do math in summer. We are sure that with your child s curiosity and creative answers, you would enjoy math in a totally different way as well. Have a great summer! Ms. Ferrick, Ms. Simpson and Ms. Yoo
Summer Math Packet
Factors And Eponents
Name : Score : Teacher : Date : Find the Greatest Common Factor for each number pair. 1 ) 8, 30 2 ) 60, 15 3 ) 12, 20 4 ) 15, 40 5 ) 24, 30 6 ) 10, 15 7 ) 3, 8 8 ) 8, 20 9 ) 120, 24 10 ) 120, 24 Math-Aids.Com
Name : Teacher : Score : Date : Find the Greatest Common Factor for each number pair. 1 ) 8, 30 2 2 ) 60, 15 15 3 ) 12, 20 4 4 ) 15, 40 5 5 ) 24, 30 6 6 ) 10, 15 5 7 ) 3, 8 1 8 ) 8, 20 4 9 ) 120, 24 24 10 ) 120, 24 24 Math-Aids.Com
Name : Score : Teacher : Date : Find the Least Common Multiple for each number pair. 1 ) 3, 2 2 ) 3, 40 3 ) 8, 24 4 ) 60, 2 5 ) 12, 8 6 ) 40, 15 7 ) 30, 8 8 ) 10, 40 9 ) 20, 2 10 ) 60, 24 Math-Aids.Com
Name : Teacher : Score : Date : Find the Least Common Multiple for each number pair. 1 ) 3, 2 6 2 ) 3, 40 120 3 ) 8, 24 24 4 ) 60, 2 60 5 ) 12, 8 24 6 ) 40, 15 120 7 ) 30, 8 120 8 ) 10, 40 40 9 ) 20, 2 20 10 ) 60, 24 120 Math-Aids.Com
Fractions and Decimals
Name : Teacher : Date : Score : Math-Aids.Com 78.42 100 63.37 10 26.18 1000 45.63 1000 40.69 100 99.43 100 86.43 1000 39.53 10 91.55 10 90.24 10 23.93 10 97.87 1000 15.85 1000 25.67 1000 19.29 10 49.72 100 59.27 100 96.33 100 97.71 1000 25.95 100 59.94 1000 12.98 100 13.12 100 27.57 10 47.69 10
Name : Teacher : Date : Score : Math-Aids.Com 78.42 100 7842.00 63.37 10 633.70 26.18 1000 26180.00 45.63 1000 45630.00 40.69 100 4069.00 99.43 100 9943.00 86.43 1000 86430.00 39.53 10 395.30 91.55 10 915.50 90.24 10 902.40 23.93 10 239.30 97.87 1000 97870.00 15.85 1000 15850.00 25.67 1000 25670.00 19.29 10 192.90 49.72 100 4972.00 59.27 100 5927.00 96.33 100 9633.00 97.71 1000 97710.00 25.95 100 2595.00 59.94 1000 59940.00 12.98 100 1298.00 13.12 100 1312.00 27.57 10 275.70 47.69 10 476.90
Percent
Name : Score : Teacher : Date : Percentage Calculations Round your answer to two decimal points if required. 1 ) 30% 85 = 6 ) 0.01 65 = 2 ) 35% 70 = 7 ) 51 97 = % 3 ) 72 0.45 = 8 ) 50 65 = % 4 ) 68 0.46 = 9 ) 88 76 % = 5 ) 0.5 70 = 10 ) 51 11 % = Math-Aids.Com
Name : Score : Teacher : Date : Percentage Calculations Round your answer to two decimal points if required. 1 ) 30% 85 = 25.5 6 ) 0.01 65 = 0.65 2 ) 35% 70 = 24.5 7 ) 51 97 = 52.58 % 3 ) 72 0.45 = 160 8 ) 50 65 = 76.92 % 4 ) 68 0.46 = 147.83 9 ) 88 76 % = 115.79 5 ) 0.5 70 = 35 10 ) 51 11 % = 463.64 Math-Aids.Com
Name : Score : Teacher : Date : Converting Between Percents, Decimals, and Fractions Convert Decimal to Percent 1.82 = 0.45 = 0.654 = 1.19 = 0.333 = 0.785 = Convert Percent to Decimal 189 % = 59.8 % = 83 % = 14 % = 29 % = 19.6 % = Convert Decimal to Fraction 1.55 = 0.475 = 0.33 = 1.63 = 0.24 = 0.64 = Convert Fraction to Decimal 99 50 = 7 50 = 25 20 = 1 10 = 3 20 = 45 25 = Convert Fraction to Percent 29 25 = 1 8 = 3 25 = 13 10 = 13 50 = 23 20 = Convert Percent to Fraction 9 % = 47.7 % = 69.9 % = 62 % = 138 % = 83.9 % = Math-Aids.Com
Name : Score : Teacher : Date : Converting Between Percents, Decimals, and Fractions Convert Decimal to Percent 1.82 = 182 % 0.45 = 45 % 0.654 = 65.4 % 1.19 = 119 % 0.333 = 33.3 % 0.785 = 78.5 % Convert Percent to Decimal 189 % = 1.89 59.8 % = 0.598 83 % = 0.83 14 % = 0.14 29 % = 0.29 19.6 % = 0.196 Convert Decimal to Fraction 1.55 = 1.63 = 155 100 = 31 20 0.475 = 475 163 100 0.24 = 1000 = 24 100 = 19 40 0.33 = 6 25 0.64 = 33 100 64 100 = 16 25 Convert Fraction to Decimal 99 50 = 1.98 7 50 = 0.14 25 20 = 1.25 1 10 = 0.1 3 20 = 0.15 45 25 = 1.8 Convert Fraction to Percent 29 25 = 116 % 1 8 = 12.5 % 3 25 = 12 % 13 10 = 130 % 13 50 = 26 % 23 20 = 115 % Convert Percent to Fraction 9 % = 62 % = 9 100 62 100 = 31 47.7 % = 477 1000 50 138 % = 138 100 = 69 69.9 % = 699 1000 50 83.9 % = 839 1000 Math-Aids.Com
Name : Score : Teacher : Date : Multiplying by Percents that are Powers of Ten 1 ) What is 10 percent of 15? 6 ) What is 10 percent of 12? 2 ) What is 10 percent of 87? 7 ) What is 1 percent of 13? 3 ) What is 1 percent of 38? 8 ) What is 100 percent of 60? 4 ) What is 100 percent of 84? 9 ) What is 100 percent of 48? 5 ) What is 100 percent of 92? 10 ) What is 10 percent of 15? Math-Aids.Com
Name : Score : Teacher : Date : Multiplying by Percents that are Powers of Ten 1 ) What is 10 percent of 15? 10% 15 = 0.1 15 = 1.5 6 ) What is 10 percent of 12? 10% 12 = 0.1 12 = 1.2 2 ) What is 10 percent of 87? 10% 87 = 0.1 87 = 8.7 7 ) What is 1 percent of 13? 1% 13 = 0.01 13 = 0.13 3 ) What is 1 percent of 38? 1% 38 = 0.01 38 = 0.38 8 ) What is 100 percent of 60? 100% 60 = 1 60 = 60 4 ) What is 100 percent of 84? 100% 84 = 1 84 = 84 9 ) What is 100 percent of 48? 100% 48 = 1 48 = 48 5 ) What is 100 percent of 92? 100% 92 = 1 92 = 92 10 ) What is 10 percent of 15? 10% 15 = 0.1 15 = 1.5 Math-Aids.Com
Rate
Algebraic Epressions
Coordinate Geometry
Name : Score : Teacher : Date :. X Four Quadrant Ordered Pairs YA 9 8 7 6 5 4 3. Z. W <. A 2 1. E. O -9-8 -7.-6 D -5-4 -3-2 -1-1 1 2 3 4 5 6 7 8 9-2. P. Y. I -3. Q -4. B -5. H. M -6-7 -8. T. C -9 V > X Tell what point is located at each ordered pair. 1) (-9,+6 ) 3) (-1,-5 ) 5) (+6,-7 ) 7) (+4,-3 ) 2) (+9,-3 ) 4) (+8,+6) 6) (-9,-8 ) 8) (+2,-3 ) Write the ordered pair for each given point. 9) B 11) O 13) Z 15) M 10) E 12) D 14) T 16) A Plot the following points on the coordinate grid. 17) F (+8,+5) 19) J (+7,-7 ) 21) U (-9,+5 ) 23) R (-6,-5 ) 18) K (+3,+7) 20) N (+0,+9) 22) G (-8,+8 ) 24) S (-3,-6 ) Math-Aids.Com
Name : Score : Teacher : Date :. G. X U Four Quadrant Ordered Pairs YA. N 9. 8. Z K 7 6 5 4 3. W F <. A 2 1. E. O. -9-8 -7-6 D -5-4 -3-2 -1 1 2 3 4 5 6 7 8 9-1 -2. P. Y. I -3. R. Q -4.. B -5. S -6.. M. T C. J H -7-8 -9 V > X Tell what point is located at each ordered pair. 1) (-9,+6 ) X 3) (-1,-5 ) Q 5) (+6,-7 ) C 7) (+4,-3 ) Y 2) (+9,-3 ) I 4) (+8,+6) W 6) (-9,-8 ) H 8) (+2,-3 ) P Write the ordered pair for each given point. 9) B (+3,-5 ) 11) O (+7,-1 ) 13) Z (+4,+8) 15) M (-5,-7 ) 10) E (+1,+1) 12) D (-6,-1 ) 14) T (+1,-7 ) 16) A (-3,+1 ) Plot the following points on the coordinate grid. 17) F (+8,+5) 19) J (+7,-7 ) 21) U (-9,+5 ) 23) R (-6,-5 ) 18) K (+3,+7) 20) N (+0,+9) 22) G (-8,+8 ) 24) S (-3,-6 ) Math-Aids.Com
Name : Score : Teacher : Date : Four Quadrant Graphing Puzzle YA 9 8 7 6 5 4 3 2 < 1-9 -8-7 -6-5 -4-3 -2-1 1 2 3 4 5 6 7 8 9-1 -2-3 -4-5 -6-7 -8 > X Connect each sequence of points with a line. -9 V (-5,9), (1,9), (1,8), (-3.5,2), (1,2), (1,1), (-5,1) (-5,2), (-.5,8), (-5,8), (-5,9) End of Sequence What is the shape? Math-Aids.Com
Name : Score : Teacher : Date : Four Quadrant Graphing Puzzle. YA.. 9 8 7 6 5 <.. 4. 3 2 1. -9-8 -7-6 -5-4 -3-2 -1 1 2 3 4 5 6 7 8 9-1 -2-3 -4-5 -6-7 -8 > X Connect each sequence of points with a line. -9 V (-5,9), (1,9), (1,8), (-3.5,2), (1,2), (1,1), (-5,1) (-5,2), (-.5,8), (-5,8), (-5,9) End of Sequence What is the shape? The Letter Z Math-Aids.Com
Name : Score : Teacher : Date : Find the Slope of Each Line 1 ) <. Y^ 5 4 3 2 1-5 -4-3 -2-1 1 2 3 4 5-1 -2-3 -4. > X slope = 2 ) <. Y^ 5 4 3 2 1-5 -4-3 -2-1 1 2 3 4 5-1 -2-3 -4. > X slope = 3 ) -5 V Y^ 5 4. 4 ) -5 V Y^ 5 4 3 3 2 2 5 ) < 1-5 -4-3 -2-1 1 2 3 4 5-1 -2-3 -4. -5 V 5. Y^ 4 > X slope = 6 ) < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3. -4. -5 V Y^ 5 4 > slope = 3 3 2 2 7 ) < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3-4 -5. V. Y^ 5 4 > slope = 8 ) < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3. -4. -5 V Y^ 5 4. > slope = 3 3 2 2 < 1-5 -4-3 -2-1 1 2 3 4 5-1 > X < 1-5 -4-3 -2-1 1 2 3 4 5-1 > X. -2-3 -4-5 V slope = -2-3 -4-5 V. slope = Math-Aids.Com
Name : Score : Teacher : Date : Find the Slope of Each Line 1 ) <. Y^ 5 4 3 2 1-5 -4-3 -2-1 1 2 3 4 5-1 -2-3 -4. > X - 1 _ slope = 2 2 ) <. Y^ 5 4 3 2 1-5 -4-3 -2-1 1 2 3 4 5-1 -2-3 -4. > X - 1 _ slope = 2 3 ) -5 V Y^ 5 4. 4 ) -5 V Y^ 5 4 3 3 2 2 5 ) < 1-5 -4-3 -2-1 1 2 3 4 5-1 -2-3 -4. -5 V 5. Y^ 4 > X 10 slope = 6 ) < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3. -4. -5 V Y^ 5 4 > 1_ slope = 5 3 3 2 2 7 ) < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3-4 -5. V. Y^ 5 4 > - 5 _ slope = 2 8 ) < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3. -4. -5 V Y^ 5 4. > 1_ slope = 5 3 3 2 2 < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3-4. -5 V > - 10 slope = < 1-5 -4-3 -2-1 1 2 3 4 5 X -1-2 -3-4 -5. V > - 10 slope = 3 Math-Aids.Com
Slope-Intercept Form Worksheet- Name: Review - Unit 3 lessons 5 & 6 1) Find the slope of the line through each pair of points. y2 y1 Slope = 2 1 a. (8, -7) and (5, -3). b. (-5, 9) and (5, 11). c. (-8, -4) and (-4, -9). 2) For each graph: Write the equation of the line in SLOPE-INTERCEPT FORM m = b = m = b = m = b = m= b = m = b= m = b =
3) In each linear equation, identify the slope (m) and the y-intercept (b) a. y = 4 5 2 5 19 b. y = c. y = 3 2 8 m = b = m= b = m= b= 2 d. y = 11 + 3 e. 2 + y = 8 f. y 4 = -2 m = b = m= b = m = b = 4) Find the equation of the line in slope-intercept form (y = m + b) a. m = 2 and b = - 7 c. m = -5 and b = 0 b. b = 4 and m = -5 d. m = 4/5 and b = -2 5) Graph the line for each equation: 5a) y = 3 4 3 Slope = Y-Intercept = 5b) y = 4 5 3 Slope = Y-Intercept = 5c) 2 + y = 2 Slope = Y-Intercept =
6. Sara rented a car for amount of days. The linear equation below represents y, the total cost of Sara renting a car. y = 17 + 130 a. What is the slope of the line represented by this equation? b. Eplain what the slope tells you about renting a car. c. What is the y-intercept of the line represented by this equation? d. Eplain what the y-intercept tells us about Sara s rental. e. If Sara rents a car for 9 days, how much will it cost her? Show how you got your answer. 17. The slope of a line is 3 and the line contains the points (5, 9) and (3, a). What is the value of a? 2 18. The slope of a line is -2 and the line contains the points (7,4) and (, 12). What is the value of?
KEY: m = -1 b = 3 y = -1 + 3