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Name ___________________ Mixed Review: Entering Grade 7 DUE: AUGUST 21, 2015 Round each number the place value listed: 1) 567891011 ; ten thousands 2) 2367547 ; thousands 3) 983967 ; hundreds 4) 0.4567389 ; hundred thousandths 5) 0.12343210 ; millionths Solve each problem. (Remember Order of Operations) 6) 2–7x5 7) 18 ÷ 2 x 3 8) (6 – 10) x -2 9) 7 – 8 – (- 5) 10) 1 x (-1) x (-1) x (1) x (-2) = Fill in the missing values in the following tables given the rules below: 11) Rule: y = b ÷ 9 Input Output b y 27 3 36 - 45 -6 7 0 12) Rule:x = u + 9 Input Output u x 8 17 -44 34 63 0 -18 Use what you know about operational ‘clue words’ to write a variable expression for each of the verbal expressions below. 13) 24 increased by a number 14) The product of a number and -6 15) A number split by 8 16) 5 less than a number Find the value of the variable in each fraction to create an equivalent fraction. 17) 4 9 = 32 18) 55 = 8 11 19) 12 = 27 20) 8 9 = 16 8 Convert the following mixed numbers to improper fractions and place in lowest terms: Place the following fractions in lowest terms, improper fractions should be converted to mixed numbers. 20) 3 3/15 23) 24/72 21) - 5 10/11 24) 22/4 22) 1 5/12 25) - 56/64 Solve the following fraction problems. Place solutions in simplest form. 26) 2/7 + 4/7 27) 28) 12/25 ÷ 3/25 29) 1 7/8 • 2 4/5 30) 3 4/7 – 1 1/7 3/4 x 2/15 31) 7 1/4 + 8 5/9 32) 9 2/7 – 6 5/7 33) 6 2/3 ÷ 2 4/5 Fill in the missing cells in the table below. Fraction Decimal Percent Fraction Decimal Percent 34) .073 37) 3/5 40) 43) 35) 1.63 38) 4 9/1000 41) 44) 36) 0.00003 39) 2/25 42) 45) Place the correct symbol ( < , > , or = ) in each box. 46) 4/5 - 2/5 50) 0.213 0.22 47) 3/8 15/40 51) -6.14 48) - 5/7 -6.15 52) -6/7 49) 4/11 9/22 0.4 53) 12/24 0.50 0.4 Solve the following Decimal Problems. 55) 9.78 – 3.4123 = 54) 23.004 + 0.69999 + 2.5 = 56) 2.4 – 5.8 + 1.03 = 57) 0.987 • 2.3 = 58) (-8.004)(-1.0008) 59) 12.6 ÷ 0.2 60) 1.89 ÷ (-.0009) 61) 0.9876 ÷ 3 List whether the numbers below are Prime, Composite or Neither: 62) 1 63) 21 64) 11 Divisibility Rules. Place an X in the table if the number is Divisible by the number indicated. 2 65) 2468 66) 4005 67) 9300 68) 588 3 4 5 6 8 9 10 Draw Factorization Trees. Find the GCF and LCM of each of the following groups of numbers. 69) 70) 48 63 72 9 36 Farm Animals Cows Horses Goat Chickens Pigs Sheep Use the table to write a ratio in simplest form: 71) Cows to Pigs 72) Sheep and Goat to Horses 73) Total Farm Animals to Chickens Write a Rate and a Unit Rate: Quantity 10 5 25 40 10 20 74) 128 chairs in 4 rows 75) A butterfly travels 40 feet in 5 minutes Proportional or Not Proportional: 76) 25/70 and 100/280 77) 18:30 and 3:5 The two triangles are similar. 78) Find Angle A 1 ft 16 ft 4 ft 60° 3 ft B 79) Find Side B 30° A 12 ft Solve the following by balancing equations in one step. SHOW WORK 80) 9 + b = -6 81) -8j = 48 82) p – 4 = 28 83) k/6 = -12 Solve the percent problems using proportions 84) What is 20% of 75? 85) What percent of 60 is 12? 86) 18 is 90% of what number?