Unit 1 Test: Adding and Subtracting Rational Numbers REVIEW SHEET Name________________________ Date __________ Period_________ Section 1: Absolute Value 1) Review the following expressions. Determine which symbol (<, >, or =) could be placed in the blank to make a true mathematical statement. a.) -4 + -4 _____ |-4 + -4| b.) | 5 – 8 | _____ - |8 – 5 | c.) 2 + -4 _____ 2 + 2 – (-6) d.) |-1 – (-4)| _____ |1 – 4| 2) Is absolute value always, sometimes or never negative? Explain your answer. Section 2: Additive Inverse Find the additive inverse of the following letters: A ______ B ______ C ______ D ______ E ______ F ______ 1) Which situations are examples of opposite quantities adding to zero? Select all that apply. A. Tammy deposits $300. Then write a check for $150. Then she withdraws $150. B Brandy opens a bank account, deposits $220, and then writes a check for $220. C. A car drives 40 feet forward, turns right, and drives another 40 feet. D. Alan begins on the ground floor of a building, takes the elevator down 3 levels to the garage, and then climbs the stairs up 3 levels. E. A hot air balloon begins at 35 feet above the ground, ascends 70 feet, and then descends 105 feet. Section 3: Adding and Subtracting Integers Solve the following addition problems using a number line. Make sure to include your answer. 1) -3 + 7 2) -3 + (-7) - 5 + 4 = _____ 4) - 4 – ( - 10) = _____ 5) ( - 3 ) + ( -11 ) = _____ 6) 8 – ( - 11) = _____ 7) 5 + ( - 7) = _____ 8) - 7 – 3 = _____ 9) - 2 + ( - 9 ) = _____ 10) - 11 – ( - 13) = _____ 11) -6 + 9 = ______ 12) Look at each pair of expressions. Are the expressions equivalent? Write yes or no next to each pair. a.) 18 – 9 and 18 + (-9) _______ b.) 13 – 4 and -13 + 4 _______ c.) -8 – 21 and 21 – (-8) _______ d.) 3 – 15 and 3 + (-15) _______ e.) 8 – 6 and -6 –8 _______ f.) -25 – 4 and -25 + (-4) _______ 13) Rewrite each subtraction expression as an addition expression. Then solve the expression. a.) 7 – 4 ___________________________ b.) -11 – 13 ______________________________

Section 4: Integer Word Problems 1) Henry is the running back for his 8th grade football team. His first three plays included a gain of 12 yards, a gain of 6 yards and a loss of 7 yards. The next four plays consisted of a loss of 8 yards, a gain of 2 yards, a gain of 9 yards and a loss of 6 yards. How much did Henry gain or lose over the course of the game? 2) Nick plays golf every weekend during the spring. He plays well enough to get close to par every round. His differential from par over the past 8 weeks has been +3, +3, -1, +1, -3, +2, -3, +4. What will he have to score on the ninth week in order to be at par(0) for the nine week period? 3) Jan had $85 in her bank account. Without realizing her balance, she wrote a check for $25. Then she wrote a check for $100. How much is in her account now? 4) What value for x will make the following statement true? Explain. 15 + x + 11 – (-4) + (-13) = 0 Section 5: Rational Numbers 1) Which equations are true? Select all that apply. A. 4.4 + (-1.9) + 11.6 = 11.6 + 4.4 – 1.9 B. -4.5 + 3.2 = 3.2 – (-4.5) C. -21.6 + 4.9 = 4.9 – 21.6 3.8 – 10.8 = -10.8 + 3.8 -4.12 – 12.21 = -12.21 – (-4.21) -9.21 + (-0.42) = -(9.21 + 0.42) 2.) Which fraction equals − 10 12 ? (mark all that apply) a.) −5 6 b.) 5 −6 c.) 5 6 d.) −10 −12 e.) −10 12 f.) 10 −12 4) Gracie has a total of 10 3 4 yards of string for her craft project. She cuts 3.7 yards of string on the first day. The next day she uses 4 1 5 yards of string. She needs 3.25 yards of string to finish her project. Will she have enough string? If so, how much will she have left over? If not, how much string does she need? 3) Nicole and her brother ate an afternoon snack of popcorn when they came home from the park. Nicole ate 4 5 cup of popcorn and her brother ate 1 4 cup of popcorn. If there were 2 1 10 cups of popcorn in the container before their snack, how many cups were left after they finished?

Section 6: Using Long Division Mr. Simpson told his math class that when converting fractions to decimals using long division, patterns often emerge which make the conversions easier. He said that a pattern can be seen when converting fractions with a denominator of 11. Part A: Convert the fraction 2 11 Part B: Convert the fraction 3 11 Part B: Convert the fraction 4 11 to a decimal using long division. to a decimal using long division. to a decimal using long division. Part D: Convert the fraction 5 11 to a decimal without using long division. The time, find the pattern that Mr. Simpson was referring to. Explain your reasoning for choosing the decimal that you did. Section 7: Ordering Rational Numbers and Fill in the Blank 1) Order the following from least to greatest: -4, |16|, 3.15, 3 4 5 , |-5|, -3.4, |3 - 5|, −3 1 2 , |-3.5| Make sure your answer is in ORIGINAL FORM. 2) Identify which of the following numbers makes each statement true. There might be more than one number for each statement. -3.2 2.9 3 2 -3 − 7 3 -1.35 7 1.21 0 Statement #1: -6.7 + ______ = a positive number ___________________________________ Statement #2: ______ - 1 1 2 = a negative number ___________________________________ Statement #3: ______ + 3 = zero ___________________________________ Statement #4: -2.34 - _____ = a negative number ___________________________________