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Math Review Sheet #2 of Q1 Name ______________________________ Date : September 25, 2015 Mrs. Mills - Period _________ Due Date: Monday, October 5th I. Computation: You must show all your work to receive credit. 1. 802 + 86 2. 7001 – 84 4. 832 ÷ 4 5. 153 x 8 3. 231 ÷ 3 6. 0.74 x 2.9 1 7. 4.36 + 83.4 8. 5.86 + 52 10. 68.8 – 53 11. 0.68 x 4.1 9. 7.3 – 2.27 12. 1.93 x 36 2 II. Place Value Identify the place each 3 is in. 1. 555,555.382 _______________________________ 2. 736.0555 _______________________________ 3. 65.22399 _______________________________ 4. 83,999,999,999 _______________________________ State the value of the 3 in each number. 5. 85.0013 _______________________________ 6. 534.6 _______________________________ 7. 7.1366 _______________________________ 8. 45,434.222 _______________________________ 9. Express 121.01823 in word form. __________________________________________________________________________ __________________________________________________________________________ __________________________________________________________________________ 10. Express 10,000 + 400 + 0.05 + 0.007 in standard form. _______________________________________________________ 3 III. Fraction Basics A. Determine the greatest common factor (GCF) for each pair of numbers. 1. 36 and 9 _________ 2. 12 and 18 _________ B. Determine the least common multiple (LCM) for each pair of numbers. 1. 12 and 9 _________ 2. 15 and 9 _________ Convert each improper fraction to a mixed number. C. 1. 15 9 = 3. 2. 22 3 = 4. 15 4 = 30 7 = D. Convert each mixed number to an improper fraction. 1. 53 = 3. 27 = 2. 19 = 4. 37 = 1 2 6 4 E. Express each fraction in simplest form. 1. 15 = 36 2. 210 360 = 4 IV. Fraction Computation Solve. Be sure to express your answer in simplest form. 4 9 1. 4 9 + __________________ 4. 5. 2. 8 5 6 + 3 4 9 3. ____________________ 6 1 3 - 2 5 6 ______________________ 7 3 x 9 14 6. 7 1 2 x6 2 5 3 7 7. 7 1 x7 7 1 x 3 10 5 V. Data and Statistics You may use a calculator for this section. Find the mode for each set of data. 1. 92; 70; 75; 80; 90; 92 ____________ 2. 8; 1; 6; 5; 8; 1 ____________ 3. 100; 99; 98; 10; 88 ____________ Central Tendencies and Measures of Variation Find the range for each set of data. 4. 90; 88; 90; 76; 81 ____________ 5. 5; 9; 2; 9; 4; 2 ____________ Mode: Most frequently occurring. You can have more than one mode. If there isn’t a number that repeats in your data set there is no mode. Median: The middle # in your data set. Be sure data is ordered before determining the middle. For an even data set, take the mean of the two numbers in the middle. You cannot have two medians. Find the median for each set of data. 6. 55; 30; 19; 40; 70 ____________ 7. 98; 90; 92; 99 ____________ Mean: To calculate the mean you take the sum of the data then divide by the number of items in your data set. Range: The difference between the Greatest and Least Number (value) . Find the mean for each set of data. (Round your answer to the nearest whole number.) 8. 45; 30; 19; 40; 22 ____________ 9. 90; 90; 92; 86 ____________ Find the mean for the following set of data. (Round your answer to the nearest tenth place.) 10. 5.6; 6.28; 5.91; 6.5 ____________ 6 VI. Expressions and Equations A. Write each word expression as an algebraic or numeric expression. 1. Two more than a number, n ___________________ 2. The sum of six and sixteen ___________________ 3. The quotient of three and a number, n ___________________ 4. The product of four and a number, n ___________________ 5. Five less than a number seven ___________________ B. Evaluate each expression. You must show your work to receive credit. 1. 8 + 2 x 2 3. (8 + 2) x 6 2. 24 ÷ 3 x 2 4. 100 – 3 + 2 x 5 C. Solve each equation. You can use a calculator for this section. 1. 2 + a = 18 _________ 4. n + 4 = 10 _________ 2. 24 – n = 7 _________ 5. n – 13 = 40 _________ _____________ n 6. 15 = 3 _________ 40 3. n = 4 7 VII. Geometry A. Find the area of each rectangle. 1. Area = _______square units 12 yards 2. 4 yards Area = _____________ square yards 3. 11.7 cm Area = ________________ cm2 6.4 cm B. Find the perimeter of each figure below. 24 cm 1. 3 cm 7 cm Perimeter = ______________ cm 28 cm 2. 8 ft 8 ft Perimeter = ______________ ft 12 ft 8 C. Coordinate Geometry E Plot and label the following points: 1. A (4, 3) D D 2. B. (6, 1) 3. C. (0, 3) 4. List the ordered pair for Point D _____________ 5. List the ordered pair for Point E. _____________ 6. What is the length of DE? _____________ VIII. Rounding Round each number to the nearest hundredth 1. 45.7345 _______________ 3. 326.0366 _______________ 2. 93.222999 _______________ 4. 1,238.19356 _______________ Round each number to the nearest whole number 5. 75.2945 _______________ 7. 386.90066 _______________ 6. 463.222999 _______________ 8. 1,638.856 _______________ 9 IX. Properties Write the name of the property being illustrated. 1. 24 + 554 + 76 = 24 + 76 + 554 ______________________________________ 2. 7 x 1 = 7 ______________________________________ 3. 8(4 + 6) = (8 x 4) + (8 x 6) ______________________________________ 4. 9 + 0 = 9 ______________________________________ 5. 25 x (4 x 16) = (25 x 4) x 16 ______________________________________ 6. 25,651 x 0 = 0 ______________________________________ Associative Property: Changing the grouping of three or more addends (factors) does not change the sum (product). (27 x 4) x 25 = 27 x (4 x 25) (238 + 90) + 10 = 238 + (90 + 10) Commutative Property: Changing the order of addends (factors) does not change the sum (product). a+b+c=a+c+b axb=bxa Distributive Property: The product of a number and a sum is equal to the sum of the individual products of the addends and the number. 9 ( 4 + 8) = (9 x 4) + (9 x 8) Identity Property of Addition: The sum of any number and zero is that number. n + 0 = n Identity Property of Multiplication: The product of any number and one is that number: n x 1 = n Zero Property of Multiplication: The product of zero and any number is zero. n x 0 = 0 10