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Instructor: Brenda Kurtz Name:___KEY___________________________ Mat 071 Chapter 1&2 Exam To receive full credit you must show your work. Fill in the blank. (each number worth 4 pts.) 1. Match the properties in the box to their corresponding examples. Write the answer on the line provided. Please note that one property will not be used. Distributive Identity Property of Zero. Associative Property Additive Identity Commutative Property a. 2+(5 + 3) = (2 + 5) + 3 a. __Associative_________________ b. 5(x + y) = 5x + 5y b.__Distributive________________ c. 5+0=5 c.__Additive Identity_______________ d. 6∙5=5∙6 d.__Commutative_____________ 2. What are the possible integer values of n if | n | = 5 ? 3. Determine whether the statement is true or false. If the statement is false, change the inequality (<, >) or the equality symbol (=) so that the statement is true. Place the true statement in the blank. 4. 2. __5 and (-5)______ a. 7 8 a. _False: >________ b. 5 5 b. _False: >________ Find each of the following sums and differences. a. 17 32 a. _____(-49)_______ b. 15 ( 2) 14 b. _____(-3)_________ c. 21 5 (4) 1 c. ____11__________ 1 5. 6. Find each of the following products or quotients. a. ( 3)( 5)( 4)( 2) a. ___(-120)________ b. 2 4 (6) 1 b. ____48__________ c. 4 0 c. __Undefined______ d. 56 7 d. _____(-8)_________ Find the average of the following set of numbers: -20, 50, 65, -100, 10 7. 6._____1___________ Sally opened a checking account with $1725. She wrote checks for $12.00, $200.00, and $85.00 and made one deposit of $497.00. What is her current balance? 7. __1925__________ 8. Today at Sunrise Ski Resort, the temperature was (with the wind chill factor) – 4 degrees at 6 am. By 12 pm the temperature was 36 degrees. There are 6 lifts operating. What was the change in temperature? 8.___40____________ 2 9. If the product of –7 and –9 is added to the product of 20 and 6, what is the sum? 9. ___183___________ 10. Follow the rules for order of operations, and evaluate each of the following expressions. a. 1 5 21 7 a. ____(-8)_________ b. 7 5 2 b. ____(-24)________ c. 12 3 2 8 2 3 5 c.____12___________ 11. Combine like terms (if possible) in each of the following polynomials. a. 3x 7 x 6x a._____4x__________ b. a a 2 a 3a 2 10 b.__4a2 – 10 _______ 12. Carefully evaluate the following expression for 3x 2 x 4 x 3 . 12. _20____________ 3 13. Solve the following equations. You MUST show your work for credit!! (If you have time, check your answers.) a. 20 n 7 a. ____(-27)_________ b. 3x 21 30 b. ____(-3)_________ c. 4 y 10 c. ____6____________ d. 5a 2a a 30 6 d._____4___________ 4