Unit 1 Test Adding and Subtracting Rational Numbers

Unit 1 Test: Adding and Subtracting Rational Numbers REVIEW SHEET Section 1: Absolute Value Name____________ Date _____ Period_____ 1) Review the following expressions. Determine which symbol (<, >, or =) could be placed in the blank to make a true mathematical statement. 2) Is absolute value always, sometimes or a. ) -4 + -4 _____ |-4 + -4| never negative? Explain your answer. b. ) | 5 – 8 | _____ - |8 – 5 | c. ) 2 + -4 _____ 2 + 2 – (-6) d. ) |-1 – (-4)| _____ |1 – 4| 2) Find the additive inverse of the Section 2: Additive Inverse following letters: 1) Which situations are examples of opposite quantities adding to zero? Select all that apply. A ______ A. Tammy deposits $300. Then write a check for $150. B ______ Then she withdraws $150. B Brandy opens a bank account, deposits $220, and then C ______ writes a check for $220. D ______ C. A car drives 40 feet forward, turns right, and drives another 40 feet. E ______ D. Alan begins on the ground floor of a building, takes the F ______ 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) 3) - 5 + 4 = _____ 4) - 4 – ( - 10) = _____ 5) ( - 3 ) + ( -11 ) = _____ 6) 8 – ( - 11) = _____ 7) 5 + ( - 7) = _____ 8) 9) - 2 + ( - 9 ) = _____ 10) - 11 – ( - 13) = _____ 11) -6 + 9 = ______ - 7 – 3 = _____ 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 8 th 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, -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? 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 D. 3. 8 – 10. 8 = -10. 8 + 3. 8 E. -4. 12 – 12. 21 = -12. 21 – (-4. 21) F. -9. 21 + (-0. 42) = -(9. 21 + 0. 42) 4) What value for x will make the following statement true? Explain. 15 + x + 11 – (-4) + (-13) = 0

Section 6: Using Long Division Section 7: Ordering Rational Numbers and Fill in the Blank