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Order of Operations -­‐ show your work. Name _________________________________ Hour ___ Spiral Review #8 1) 6 + 12 ÷ 3 = 2) 5 + 12 ÷ (4 -­‐ 3 + 2) = 3) 12 -­‐ 8 + 7 + 32 = 4) 6 ·∙ 5 -­‐ 18 ÷ 3 = 5) 2 x 3 + 42 – 6 = 6) (15 ÷ 3)2 = 7) 5 + 3 x 2 = 8) 9 ⋅ 4 – (1 + 2 ⋅2) = GCF & LCM-­‐ show your work. 9) The oil on Mrs. Rebman’s car needs to be changed once every 6 weeks and the tires rotated every 10 weeks. How often will both things happen to her car? 10) Jazmin is completing an art project. She has two pieces of construction paper -­‐ the first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible. How wide should Jazmin cut each strip? 11) Enzo and Beatriz are playing darts at 12) Your local radio station is having their local arcade. Incredibly, Enzo scores 5 points with every throw, and Beatriz scores 11 points with every throw. When they stopped playing darts, Enzo and Beatriz had scored the same number of total points. What is the minimum number of throws that Enzo could have made? their yearly MP3 and concert ticket giveaway. For one minute, every 5th caller will win an MP3 player and every 7th caller will win concert tickets. You were just the first caller to win both an MP3 player and concert tickets! What number caller were you? 13) What is the greatest common factor of two prime numbers? Prime, composite, factors and multiples 16) I am a common factor of 36 and 48. I am also a factor of 30. I am an even number. I am divisible by 3. What number am I? 14) My number is a factor of 90. My number is prime. 21 is a multiple of my number. What is my number? 17) I am a common factor of 60 and 100. I am an even number greater than 4. I am divisible by 4. What number am I? 19) I am not a prime number. 20) List the factors of 55. I am not a composite number. What number am I? Find the prime factorization of each number. Write your answer using exponents. 24) 300 15) I am a common factor of 27 and 45. I am an odd number. When you multiply me by 3, you get a number greater than 10. What number am I? 18) I am a 2-­‐digit prime number. I am less than 30 and the difference of my digits is 7. What number am I? 21) Write 4 multiples of 55. 22) 210 23) 37 25) 122