Unit 1 Homework

Section 1.2 due 8/12/11

Find the value of each expression

  1. 2 • 6 – 8
  2. 12 – 3 x 3
  3. 9 + 18 ÷ 3
  4. 8 + 5(6)
  5. 11(6-1)
  6. 75 ÷ (7 + 8) – 3
  7. 2[5(11-3)] – 16
  8. 10[9(2+4) – 6 • 2]

Write a numerical expression for each verbal phrase

  1. Six minus three
  2. Twenty- four divided by six
  3. Four less than eighteen
  4. The cost of 3 notebooks at $3 each

Gardening: for problems 14 and 15, use the following information.

A bag of potting soil sells for $2, and a bag of fertilizer sells for $13.

  1. Write and expression for the total cost of 4 bags of potting soil and 2 bags of fertilizer.
  2. What is the total cost of the gardening supplies?

Section 1.3 due 8/15/11

Evaluate each expression if x = 7, y = 3 and z = 9

  1. z + 2
  2. 2 + 4z
  3. 5z – 3x – 2y
  4. ( 8y + 5) – 2z
  5. 2x + (4z – 13) – 5

Translate each phrase into an algebraic expression

  1. Mark’s salary plus a $200 bonus
  2. Six feet shorter than the mountains height
  3. Five times a number, minus four
  4. The quotient of eight and twice a number
  5. The difference of seventeen and four times a number
  6. Three times the product of twenty-five and a number
  7. If the value of c + 5 is 18, what is the value of c?

A. 3B. 8C. 7D. 13

15.Which expression represents four less than twice a number?

A. 4n – 2B. 2n – 4C. 4(2 + n)D. 2n + 4

Section 1.5 due 8/16/11

Find the solution for each equation from the list given.

  1. c + 12 = 30; 8,16,18 2. 23 – m = 14; 7,9,11

3. 75 = 15n; 3,4,5 4.

Tell whether each sentence is sometimes, always or never true.

5. An equation is an open sentence?

6. An open sentence contains a variable

Solve each equation mentally

7. 19 = 4 + r 8. 15 – m = 0 9. 72 = 8w10.

Define a variable. Then write an equation and solve.

11. A number times 3 is 45

12. A number minus 10 is 27.

13. The sum of 9 and a number is 36.

14. The difference of a number and 12 is 54.

For numbers 15 and 16 use the following information

Megan purchased movie tickets for herself and two friends. The cost was $24.

  1. Define a variable. Then write an equation that can be used to find out how much Megan paid for each ticket.
  2. What was the cost of each ticket?

Pre-Algebra Unit 1 Study Guide due 8/17/11

A. Find the value of each expression.

1. 14 ÷ 2 • 5 + 32. 16 – 49 ÷ 7 • 2

3. 6(6 ÷ 2 • 9)4. 12 – 2 • 5 + 3

5. 6. 4[3(1+8) – 7 • 2]

7. 180 ÷ (6 + 9) – 11 8. 4[3(21-6)] – 26

B. Classify the following as either a numerical equation, numerical expression, algebraic equation, or algebraic expression.

9. 5 + 8 = 13 10. d= rt 11. x + y + z 12. (37 + 43) • 3

C. Evaluate each expression if x = 4, y = 2, and z = 11

13. y + 6 14. 10 + 3x 15.

16. 18 - 17. 3x + (4y - 10) - 7

D. Translate each phrase into an algebraic expression.

18. two inches shorter than Kathryn’s height

19. The quotient of some number and fifteen

20. half as many pieces of candy

21. three dollars more than the cost of the ticket

E. Find the solution of each equation from the list given.

22. u + 11 = 42; 29, 31,33 23. ; 6, 8, 10

24. 8r = 24; 3, 4, 5 25. s – 16 = 4; 18, 20, 22

F. Write an equation for each sentence then solve.

26. Thirty less than 40 is a number.

27. The quotient of 50 and a number is 2.

28. A number times 9 is 36.

29. Eleven more than a number is 33.

G. Solve each equation.

30. c + 9 = 11 31. 6f = 36 32. 24 – u = 18 33. 34. 20 = f + 5

H. Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression.

35. -1(75 – 9)36. (300 + 6)4

37. 33(20 – 8)38. -25(60 + 4)

I. For each word problem write an expression or equation and then solve.

39. A t-shirt cost $11 and a pair of jeans cost $35. Write an expression for 4 t-shirts and 3 pairs of jeans. What is the total cost for the clothes?

40. Georgia bought a concert ticket for herself and 5 friends. The cost was $144. Write an equation that can be used to find out how much each concert ticket cost and then solve it.

J. Write the name of the property that best represents each example.

Example / Property
41. / 1∙ 10 = 10
42. / 3(20 – 17) = 3(20) – 3(17)
43. / 13 + 8 = 8 + 13
44. / 4 ∙ 11 = 11 ∙ 4
45. / 31 ∙ 0 = 0
46. / 15 + 0 = 15
47. / 2 + (3 + 6) = (2 + 3) + 6
48. / (4 ∙ x) ∙ 14 = 4 ∙ (x ∙ 14)

Sections 1.4/3.1 due 8/18/11

Name the property shown by each statement.

1. 8 ∙ 0= 02. 18 ∙ 1=18 3. 18+12=12+18 4. (4+12)+18=4+(12+18) 5. (18 ∙ 10)10=18(10 ∙ 10) 6. (6 ∙ 25)4=6(25 ∙ 4) 7. 0+6=6 8. 2 ∙ 8 = 8 ∙ 2 9. (6+8)+ (4+6) = (4+6) + (6+8) 10. (3+5)+5=3+ (5+5)

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate the expression.

11. -6(13 – 3)12. (400 + 5)8 13. (20 – 7)23 14. -25(40 + 8)

15. One movie ticket cost $7 and a small bag of popcorn cost $3. Write to equivalent expressions for the total cost of 4 movie tickets and 4 small bags of popcorn. Then find the cost

Unit 1 Homework