MHCA Math Summer Packet

Transcription

1 Name: Score: MHCA Math Summer Packet For students entering Algebra I CP The Summer Packet is broken into 10 different sections labeled weeks with 10 questions in each section. If you do one section a week, you can complete the entire packet before the start of the school year without much stress. This will be collected during the school s Orientation Days (August 28 th & 29 th ). Packets turned in on the 1 st official day of school will lose 10 points for being late. Any packet that is not turned in by the 1 st day of school will receive a 0. The summer packet counts as a double quiz grade, and will help you review the material from last year so it is in your best interest to complete the packet. If you have any questions regarding the completion of the MHCA Math Summer Packet please contact Mrs. Magrogan (gmagrogan@maryhelp.org) or Mr. McMahon (fmcmahon@maryhelp.org). Here are some websites to help you with the summer packets. Typing the topic into a web search will also give you more websites to help you

2 WEEK 1: Write powers and evaluate 1) a) 3 4 b) c 0 Evaluate the expression 2) (14 7) + 3) ) [( ) ] 5) 6) 6(6) 2 9 7) ) 4(4 + 5) 3(10 7) 9)100 (16 + 9) 6 10) ( ) ( ) Find the perimeter AND area of a rectangle or square using the formulas: 8a) l 12 yards; w 6yards P 2( l) 2( w) A lw 8b) l 2.5 ft; w 17 ft Adding, Subtracting, Multiplying and Dividing decimals: 9) a) ) a) WEEK 2: Writing numbers in scientific notation, comparing numbers in scientific notation 1) Write in scientific notation: 330,321 2) Write in standard form: 3) Compare: Converting Metric Units: Remember: Kilo Hecto Deka Base Deci Centi Milli 4)7891g = kg 5) kl= L Finding the mean (average), median (middle when numbers are in order), and mode (number that repeats the most) of a given set of data

3 6) 49, 91, 32, 41, 87 7) 5, 5, 11, 3, 2, 14 Prime Factors of 1 and itself Composite Factors other than 1 and itself Relatively prime- two numbers are relatively prime when the GCF= 1 Prime number, Composite number, Greatest common factor, and relatively prime Tell if the number is prime or composite: 8) 21 a) 42 Find the GCF and tell if the numbers are relatively prime: 9) 72, 96 a) 51, 175 Find the LCD to compare: 10) a) WEEK 3: Write the improper fraction as a mixed number 1) 52 9 Write the mixed number as an improper fraction 2) ) Adding and Subtracting Fractions and mixed numbers 4) 5) 6) Multiplying and Dividing Fractions and mixed numbers 7) 8) 9) 10)

4 WEEK 4: Measuring in Customary units: Benchmarks: Length: 1 inch= small paper clip, 1 foot= distance from shoulder to elbow, 1 yard= width of door Weight: 1 ounce= slice of bread, 1 pound= soccer ball, 1 ton= walrus Capacity: See pictures online or in refrigerator: fluid ounce, cup, pint, quart, gallon Measuring in Customary Units: Complete the statement using appropriate customary unit 1) An apple weighs 8 2) An airplane weighs 455 Converting Customary units :Use chart: Length Weight Capacity (Use G pic) 1 ft = 12 in 1 lb = 16 oz 1 c = 8 fl oz 1 yd = 3 ft 1 ton = 2,000 lbs 1 pt = 2c 1 mi = yds 1 qut = 2 pt 1 gal = 4 qut Steps: 1. Write info you know (ex. 1 yd=3ft 2. Write out your problem (remember where you start on bottom, where you are going on top 3. Use cancelation to multiply numbers 4. Use cancelation to multiply units 5. Write answer Converting Customary units: 3) 35 in = ft 4) fl oz 5) 25 c = pts Ratios and Rates 6) There are 30 boys and 42 girls at the concert. a. Write a ratio of girls to boys b. Write a ratio of boys to all the people Find the unit rate: 7) Jenny paid $72 for 2 expensive books. Solve the proportion 8) Use Equivalent ratios: a. Use Cross Products: 9) A car travels 30 miles on 10 gallons of gas. At that rate, how much gas will the car need to travel 83 miles?

5 (Round to the nearest whole number) 10) A map has a scale of 5 in:13 km. If two cities are 30 inches apart on the map, what is the actual distance between the cities? WEEK 5: Percents: 1) Write the percent as a fraction in the simplest form: 61% 2) Write the fraction as a percent (round to whole percent if necessary: a) ) 3)Write the percent as a decimal: a) 91% b) 257% 4) Write the decimal as a percent: a).0042 b).54 Use the percent proportion OR the percent equation (round to tenths place if necessary) Proportion: Equation: a = p% 5. What number is 14% of 75? 6) 81 is 40% of what number? Identify the percent of change and then tell if it is increase or decrease. Round to whole percent: 7) Original: 67 New: 27 8) Jesse started his job making $22 an hour. His boss increased his salary to $30 an hour. What is the percent of change? Find the new price after the discount or tip: 9) You go out to eat with your friends. Your bill is $66.00 and you want to leave a 20 % tip. What is the total cost? 10) Original price of cute bathing suit: $52 Discount: 15% WEEK 6: Angles and Special pairs of angles Classify the angle (acute, obtuse, straight, right) 1) 41 degrees 2) 90 degrees 3) 158 degrees Complementary, Supplementary or Neither? 4) 21 degrees, 69 degrees

6 5) 73 degrees, 108 degrees 6) Name the vertical angles, adjacent angles, and corresponding angles: Vertical: Adjacent: Corresponding: Triangles Classify the triangle by angles: 7) a. b. c. Classify the triangle by sides: 8)a. 12cm, 6cm, 11cm b. 7m, 7m, 7m c. 16ft., 16ft, 8ft. Find the value of x: 9) 70 o 65 o x o 10) 56 o 90 o x o WEEK 7: Evaluate the square root: 1) 2) -

7 3) Evaluate the expression when x = 2 y = 3 Circumference and Area (may use calculator) ( ) (C= d or C=2 ) 4) Find the circumference: a. d = 20 in b. r = 12.3 cm 5) Find the diameter and radius: a. C=28.5 ft 6) Find the area: a. r= 2.7 in b. d= 9 ft Example: Comparing, adding, subtracting integers add - + Sign of Larger # subtract + - Sign of Larger # subtract Comparing, adding, subtracting integers 7) Order the integers from least to greatest: 11, 0, -3, -12, -4, 2, -7 8) a) (-27) b) 10 + (-12) c) ) 5 (- 32) a) b) -14 (-43) c) 2 + (-19) 7 10) - Joey entered an elevator on floor 9. She rode down 8 floors. Then she rode up 11 floors and got off. What floor was she on when she left the elevator? Multiplying and dividing integers WEEK 8:

8 Multiplying and dividing integers: 1) ( ) a) -81 (-3) b) 44 (-2) 2) -2(-4)(12) a) ( ) b) Graphing using a coordinate plane Graph the following points. Tell which quadrant they fall in. 3) (-5, -1) a) (9, -2) b) (-3, 8) c) (-7, 0) 4) (0, 8) c) (-4, -3) b) (1, -2) c) ( -4, 9) Use key words to write the expression or equation: 5) Twice a number decreased by 15 a) Half of a number subtracted from 20 is 2 6) Julia has 40 red and blue balloons. 11 of the balloons are blue. How many are pink? Write the equation 7) Fredrick is buying chicken. He spends $10 in total for 15 pounds. How much is each pound? Write the equation Simplifying expressions Coefficients: Number in front of variable Constant: Lonely number (does not have variable) Like terms: Same last name (include sign!) Simplify the expression:

9 8) Label the constants, coefficients and like terms: 2x + 7-3x -18 Coefficients: Constants: Like terms: Simplify the expression: 9) b b 10) 6 + 3(4x + 1) -8x Solving equations WEEK 9: 1) 7 = -5 + y 2) 8 = 6 + x 1 3) 12 + n 9 = 4 4) x 9 = 4 Solve the equations. Careful with signs! ) ) 7) Simplify each expression using properties of exponents 8) a. b. ( ) Graph the following lines using the coordinate planes at the end of the summer packet. 9) 9x 12 = 36 10) y = -3x + 2 WEEK 10: Solve equations. 1) -6b - 18 = -42 2) 2a 10+ 4a = 20 3) 4) -9 = 3t + 6 Solve the inequality. 5) 9x + 27 < -72 6) 7) 12-7f 9 8) -3m 30 Find the slope of the line that passes through the following points. 9) (7, 3) (8,1) 10) (-4, 6) (5, 3)

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