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Unit 2 Assessment REVIEW Name_____________________________
Period ________ Date _______________ Section 1: Multiplying and Dividing Integers 1) -8 · -9 = ______ 2) -4 · 12 = ______ -3(4)(-6) = ______ -17(-9)(-1) = ________ (-2)⁴ = _________ 7) −80 −10 = ____________ 8) − = ______ 9) ÷ -5 = ______ 10) (−18) −3+(−1) = ________ Section 2: True and False True or False: If it is false, make it a true statement. (You can just cross out and change a word in the sentence to make it true.) 1) The product of two negative integers is positive. 2) The product of two integers is always an integer. 3) The quotient of two integers is always an integer. 4) To divide fractions, multiply the dividend and the reciprocal of the divisor. 5) The quotient is the result of multiplication. Section 3: Multiplying and Dividing Fractions ÷(− 9 10 ) = ________ ∙(− 3 7 ) = ________ ∙(−4) = ________ 5. Mrs. Thomas bought pounds of colored glass pebbles for her aquarium. She used of one pound in her smaller aquarium and divided the remaining pebbles equally among her 3 larger aquariums. How many pounds of pebbles did Mrs. Thomas put in each of her larger aquariums? 4. Mrs. Graf has 110 students. On her last test, of these students earned an A. Of the students who earned an A, got a perfect score. How many student got a perfect score on her last test? 6. Last year at Jamestown Middle School, of the books in the library were more than 40 years old. At the end of the year, of those books were given to charity. If there were a total of 1,350 books, approximately how many were given to charity? 7. Melinda has cups of sugar in her pantry. Her favorite cake recipe uses cups of sugar. How many cakes can she make with the sugar in her pantry? How much sugar will be left over?
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Section 4: Multiplying and Dividing Decimals
1.) ∙ -4.1 = ________ 2.) ÷ -0.3 = ________ 3.) (−2.1) 2 = ________ 4.) The owner of a gas station must collect a gasoline tax of $0.14 on each gallon of gasoline sold. On Tuesday, the owner paid $ in gasoline taxes. How many gallons of gas were sold on Tuesday? 5.) An airline has 600 flights per day. Of the 600 flights, 70% (0.7) depart in the morning of morning flights leave on time. How many morning flights leave on time? Section 5: Multiplying and Dividing ALL rational numbers 1.) A piece of wood that is 13 feet long is cut in half. Each half is then cut into five congruent pieces of wood. What is the length of each of the ten small pieces of wood? 2) The table below gives the heights of five different tomato plants in Thomas’s garden. What is the average height of the tomato plants? Express your answer as a decimal. Plant 1 Plant 2 Plant 3 Plant 4 Plant 5 in 15 in 11.5 in 18.75 in in 3) Three towns in Warren County voted on building a new soccer complex. The table below shows the number of people that voted in each town and the voting results. Find the total number of Yes votes in Warren County. Show work or provide an explanation to support your answer. 4) Give a real world word problem, which has not been used in this review sheet, that involves multiplying OR dividing fractions. Once you have developed an example, find the solution. Town Number of Voters Yes Votes Mason 50,000 0.7 of voters Springboro 30,000 2 out of 5 Waynesville 20,000 7 10
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Section 6: Spiral Review
Every test this year will contain information from past tests. This is called “spiral review” and helps to maintain retention throughout the school year. Convert the following fractions to decimals. If the decimal repeats, place a bar over the repeating digit(s) a.) b.) − 7 9 2) Explain what additive inverse means and provide an example to support your explanation ) Find the solution. a.) b.) -30 - -3 + -4 - 5 4) Find the difference ) Is absolute value always, sometimes, or never positive? Explain your answer ) Determine which of the following numbers would make the following statements true. There might be more than one answer. Write all possible answers on the line provided − A.) __________ = negative number __________________________________ B.) − − __________________= positive number __________________________________
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