Sewanhaka High School Mrs. Lidowsky, Principal Math 8 Mr. Long, Teacher Per:______________ Date:________________________ Name:___________________________________ Directions: Simplify each expression. Assume that all variables represent positive numbers. 1) 8 5 + 5 = 2) 3 5 + 6 2 - 3 2 + 5 = 3) 27 + 75 = 4) 72 - 50 = 5) 5 27 - 108 + 2 75 = 6) 50x 7 = 7) Zoila ice skates. She circles the rink in 60 seconds. Elijah also ice skates. He takes 90 seconds to circle the rink. If they start together from the same point, how many minutes will it take until they are together again? a) 3 minutes b) 6 minutes c) 15 minutes d) 90 minutes 8) Write the prime factorization of 450 using exponents. TURN OVER 9) Find three consecutive integers such that the sum of the first and the third integers is 204. 10) Simplify using the laws of exponents: (a) 4x3 • -2x5 = (b) 12 x 4 y 5 4x 3 y 4 =