Math 64 Cmmon Final Page 1 of 4 1. True/False a. A negative plus a positive is ALWAYS a negative. Answer:________ b. A negative multiplied by a positive is ALWAYS a negative. Answer:________ 2. Evaluate each of the following: a. (((())))13 6− −− −− −− − b. 24 15− +− +− +− + c. (((())))17 3 10− ⋅− ⋅− ⋅− ⋅ Answer:_____________ Answer:____________ Answer:____________ d. 3 4 8+ ⋅+ ⋅+ ⋅+ ⋅ e. 216 6 11− −− −− −− − Answer:______________ Answer:____________ 3. What is the prime factorization of 180? Answer:__________________ 4. Find the LCM of 12 & 20 5. Find the GCF of 18 & 27 Answer:__________________ Answer:________________ 6. Solve each of the following equations: a. w 18 31+ =+ =+ =+ = b. 5x 105= −= −= −= − c. 5x 2x 4 3x x 1− + = + +− + = + +− + = + +− + = + + Answer:____________ Answer:__________ Answer:__________Math 64 Common Final Page 2 of 4 7. Reduce completely: 2736 Answer:__________________ 8. Write 7510 as a mixed number 9. Write 348 as an improper fraction. & reduce if necessary. Answer:__________________ Answer:__________________ 9. Evaluate and simplify completely. Always state all improper fractions as a mixed number. a. 4 39 8•••• b. 2 75 5÷÷÷÷ c. 12 3525 28−−−−                         Answer:_______________ Answer:_____________ Answer:_____________ d. 4 39 9++++ e. 11 512 12−−−− Answer:__________________ Answer:________________ f. 2 13 2++++ g. 1 75 24 8−−−− Answer:__________________ Answer:________________Math 64 Common Final Page 3 of 4 10. Write 51100 as a decimal. 11. Write 7.75% as a decimal. 12. Write 45 as a percent. Answer:_____________ Answer:_____________ Answer:_____________ 13. Evaluate using the rules for exponents. Simplify your answers. a. (((())))38a b. 045             c. (((())))(((())))5 315x 2x−−−− d. (4x 1)(x 2)− +− +− +− + Answer:_________ Answer:________ Answer:________ Answer:________ 14. A rectangular shaped driveway is to have a perimeter of 450 feet. The building codes require that the width is 90 feet. What must the length be? Answer:_____________________________ 15. A 74 foot board is cut into two pieces at a sawmill. The long piece is 4 feet less than twice the short piece. What is the length of each piece? Answer:_____________________________Math 64 Common Final Page 4 of 4 16. Evaluate: a. 2 4 24 4 3+ ÷+ ÷+ ÷+ ÷i i . b. 4 155 16−−−−                         c. 1 12 33 5++++ Answer:__________ Answer:__________ Answer:__________ 17. Write .72 as a fraction and simplify. 18. Solve the equation: 4x 12 20+ =+ =+ =+ =. Answer:__________________ Answer:________________ 19. Multiply: 5 3(3x )(4x ) Answer:________________ 20. Sixteen more than three times a number is thirty-four. What is the number? Answer:________________ 21. Juan has a piece of cloth that is 576feet in length. He wants to cut it into 3 equal pieces. What is the length of each piece of cloth?