1.3E: Exercises
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More Exponent Practice
compute the exact value of the given exponential expression
1. 01 2. 13 3. 32 4. 34 |
5. 41 6. 52 7. 43 8. 42 |
9. −32 10. −33 11. −42 12. −24 |
13. (−5)2 14. (−2)4 15. (−3)3 16. (−2)5 |
17. (−6)2 18. (−4)2 19. (−5)3 20. (−4)3 |
21. −(−5)2 22. −(−3)4 23. −(−4)3 24. −(−2)5 |
- Answers to odd problems for E.156
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1. 0
3. 9
5. 4
7. 64
9. −9
11. −64
13. 25
15. −27
17. 36
19. −125
21. −25
23. 64
More Order of Operations Practice
Compute the exact value of the given expression.
1. 9 − 1(−7) 2. 85 − 8(9) 3. 3 + 9(4) 4. 6 + 7(−1) 5. −2 − 3(−5) 6. 64 − 7(7) |
7. 10 + 12(−5) 8. 4 + 12(4) 9. 30 · 5 ÷ 3 10. 72 · 6÷ 4 11. 32 ÷ 4 · 4 12. 64 ÷ 4 · 4 |
13. 15 ÷ 1 · 3 14. 18 ÷ 6 · 1 15. 40 ÷ 5 · 4 16. 30 ÷ 6 · 5
|
19. 10 − 72 ÷ 6 · 3+8 20. 8 − 120 ÷ 5 · 6+7 21. 3 − 24 ÷ 4 · 3+4 22. 4 − 40 ÷ 5 · 4+9 23. 2+6 ÷ 1 · 6 − 1 24. 1 + 12 ÷ 2 · 2 − 6 |
- Answers to odd problems for E.157
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1. 16
3. 39
5. 13
7. −50
9. 50
11. 32
13. 45
15. −216
19. −18
21. −11
23. 37
More Practice Changing English Expressions into Algebraic Expressions
Translate the following phrases into algebraic expressions.
1. a. the difference of 5x2 and 6xy b. the quotient of 6y2 and 5x c. Twenty-one more than y2 d. 6x less than 81x2 2. a. the difference of 17x2 and 17x2 and 5xy b. the quotient of 8y3 and 3x c. Eighteen more than a2; d. 11b less than 100b2 |
3. a. the sum of 4ab2 and 3a2b b. the product of 4y2 and 5x c. Fifteen more than m d. 9x less than 121x2 4. a. the sum of 3x2y and 7xy2 b. The product of 6xy2 and 4z c. Twelve more than 3x2 d. 7x2 less than 63x3 |
- Answers to odd problems for E.158 #1-4
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1a. 5x2−6xy b. 6y25x c. y2+21 d. 81x2−6x 3a. 4ab2+3a2b b. 20xy2 c. m+15 d. 121x2−9x.
Translate the following phrases into algebraic expressions.
5. a. four times the difference of y and six b. the difference of four times y and 6 6. a. five times the difference of y and two b. the difference of five times y and 2 |
7. a. five times the sum of 3x and y b. the sum of five times 3x and y 8. a. eleven times the sum of 4x2 and 5x b. the sum of eleven times 4x2 and 5x |
- Answers to odd problems for E.158 #5-8
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5 a. 4(y−6) b. 4y−6 7 a. 5(3x+y) b. 5(3x)+y.
Translate the following phrases into algebraic expressions.
9. The length of a rectangle is 5 inches less than the width. Let w represent the width of the rectangle. Write an expression for the length of the rectangle.
10. The width of a rectangle is 2 meters greater than the length. Let L represent the length of the rectangle. Write an expression for the width of the rectangle
11. A collection contains jazz and classical CDs. The number of jazz CDs is 3 more than the number of classical CDs. Let c represent the number of classical CDs. Write an expression for the number of jazz CDs.
13. A playlist contains rock and country songs. The number of rock songs is 14 more than twice the number of country songs. Let c represent the number of country songs. Write an expression for the number of rock songs.
14. The number of women in a Statistics class is 8 less than twice the number of men. Let m represent the number of men. Write an expression for the number of women.
15. Greg has nickels and pennies in his pocket. The number of pennies is seven less than three times the number of nickels. Let n represent the number of nickels. Write an expression for the number of pennies.
16. Greg has nickels and pennies in his pocket. The number of pennies is four more than twice the number of nickels. Let n represent the number of nickels. Write an expression for the number of pennies.
- Answers to odd problems for E.158 #9-16
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9. w−5 11. c+3 13. 2c+14 15. 3n−7 .