Math 38 - Final Exam Review Packet D (Free Response Portion) 1. Reduce the fraction to lowest terms. a. b. 2. 3. 4. 5. 6. 72 160 75 160 Multiply and express the product in lowest terms. 5 64x 2 ⋅ 32x 100 a. − b. ⎛ 18x ⎞ ⎛ 36x ⎞ ⎜⎝ − ⎟ ⋅⎜ − ⎟ 20 ⎠ ⎝ 99 ⎠ Divide and express the quotient in lowest terms. a. 12x 4x ÷ 21 7 b. 21x 2 14x ÷ 10 25 Multiply and write the product as a mixed number in simplest form. a. 1 2 4 ×6 2 5 b. ⎛ 7 ⎞ ⎛ 3⎞ ⎜⎝ 3 ⎟⎠ ⋅ ⎜⎝ 6 ⎟⎠ 10 7 Add or subtract and express your answer as a mixed number in simplest form. 8 4 +3 24 12 a. 2 b. 2 1 9 −3 4 5 7. Simplify using the order the order of operations. ( 7 + 5.14 ÷ 3 ×1.02 ) × b. 4⎞ ⎛ 2 ⎞ ⎛ ⎜⎝ 4.2 − 2 + 5 × ⎟⎠ + ⎜⎝ 2.82 + + 5⎟⎠ 9 3 Solve. a. b. 8. 9. 2 3 a. What percent of 80 is 88? What number is 25% of 55? Add and write the resulting polynomial in descending order of degree. a. (2x b. ( −3b 2 3 ) + x + 3 + ( 5x + 7) ) ( ) + 2b 2 − 9b + −5b3 − 3b 2 +11 Solve. a. −0.88x = 1.408 b. −1.89 = −8.5p +1.2 10. Convert. 5 to a decimal number 32 a. − b. 1.625 to fraction in lowest term
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