1.3E: Exercises
 Page ID
 30455
More Exponent Practice
compute the exact value of the given exponential expression
1. 0^{1} 2. 1^{3} 3. 3^{2} 4. 3^{4} 
5. 4^{1} 6. 5^{2} 7. 4^{3} 8. 4^{2} 
9. −3^{2} 10. −3^{3} 11. −4^{2} 12. −2^{4} 
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

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

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 \(5x^2\) and \(6xy\) b. the quotient of \(6y^2\) and \(5x\) c. Twentyone more than \(y^2\) d. \(6x\) less than \(81x^2\) 2. a. the difference of \(17x^2\) and \(17x^2\) and \(5xy\) b. the quotient of \(8y^3\) and \(3x\) c. Eighteen more than \(a^2\); d. \(11b\) less than \(100b^2\) 
3. a. the sum of \(4ab^2\) and \(3a^2b\) b. the product of \(4y^2\) and \(5x\) c. Fifteen more than \(m\) d. \(9x\) less than \(121x^2\) 4. a. the sum of \(3x^2y\) and \(7xy^2\) b. The product of \(6xy^2\) and \(4z\) c. Twelve more than \(3x^2\) d. \(7x^2\) less than \(63x^3\) 
 Answers to odd problems for E.158 #14

1a. \(5x^2−6xy\) b. \(\frac{6y^2}{5x}\) c. \(y^2+21\) d. \(81x^2−6x\) 3a. \(4ab^2+3a^2b\) b. \(20xy^2\) c. \(m+15\) d. \(121x^2−9x\).
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 \(4x^2\) and \(5x\) b. the sum of eleven times \(4x^2\) and \(5x\) 
 Answers to odd problems for E.158 #58

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 #916

9. \(w5\) 11. \(c+3\) 13. \(2c+14\) 15. \(3n7 \) .