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Preparatory Academy at P.S 71 Name _________________________________7th Grade Math Date ___________Unit 1 Review Packet [7th Grade]Convert the following to a decimal:18 = 13 = Which expression is equivalent to: 8(x + 2)a) 24xb) 8x + 16c) 8x + 2d) 10xA diver climbs 10 feet on a ladder to get to the diving board. After he dives, he descends 8 feet into the water in the pool. A picture is taken when he is halfway between the diving board and the lowest point of his dive. At what altitude was the picture taken?Yesterday, the temperature at 9am was -5°F. By 6pm, the temperature had increased by 8.6 degrees. What was the temperature at 6pm? 3.6°F-3.6°F-13.6°F13.6°F Evaluate: -427Find the mean of the following set of numbers:- 40, 18, -2, -5, 6, 0Evaluate: 23-715 ÷15=Write an example of the inverse property of multiplication: Determine the property applied here: -17 + 17 = 0commutative property of additionassociative property of additionadditive inverse additive identityWhich of the following is equivalent to -78 ?78 --78 -78 -7-8 Answer EACH question below with a True or False?The product of two negative numbers is always negativeThe quotient of two negative numbers is always positive The sum of two negative numbers is always positiveThe sum of a positive and a negative number is always negativeA negative number minus a positive number is always negative The difference of two negative numbers is always negativeOn Tuesday, the temperature in Nome, Alaska was -8°F. On Friday, the temperature was 23°F. By how much did the temperature change? A submarine was situated 650 ft. below sea level. If it rises 125 ft., what is its new position? Evaluate 123÷ -279 Part II – Short Answer. You must show your work to get full credit (2 pts. each)The following problem was solved using a variety of properties. Name the properties used in the two steps shown below:3(4 + 5) – [-10 + 4 + 6]3(4 + 5) – [ -6 + 6 ]3(4 + 5) – [ 0 ]12 + 15 – 027Answer David is making punch for the 7th grade dance. The recipe calls for 2 ? cups of ginger ale, 1 2/3 cups of orange juice, ? cup of cranberry juice and seltzer. If the bowl he is using holds 6 cups of liquid, how much seltzer can he fit in the bowl? Match the expression to an expression with an equivalent value. Write the matching letter answer in front of the question on the line provided:1. 2(-11 + 6)a) 18 – 10.52.3 (6 – 3.5)b) 10.5 + 183.-7.5 + 8 – 14.5c) -22 + 84.15 – 4.5 –(-18)d) -22 – (- 12) Find the value of the expression 8.9 + (-7.1) + (-8.9) + (-3.4) + (-1.2) Determine the property applied here: 3(2 ? 9) = (3 ? 2) 9Find the value of the expression. 100-30-10+0.88-106+4+9What is the distance between -90.9 and 33.3 on a number line? ................
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