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Algebraic Equations and Vocabulary Words

Learn about solving algebraic equations, inverse operations, balancing equations, and common vocabulary words in algebra. Practice with charts and examples.

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Algebraic Equations and Vocabulary Words

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  1. Charts and Vocab Words and Balancing Equations +and - · and ÷ ? 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20 pt 20 pt 20 pt 25 pt 25 pt 25 pt 25 pt 25 pt

  2. In order to compute an algebraic equation, you must do the opposite or _______ operation, to solve.

  3. Inverse

  4. For the problem: 4 + q = 30q is called a ______.Hint: I’m not looking for the value of q.

  5. variable

  6. Complete the following chart:See sheet given in class

  7. 19 and 73

  8. List the 4 rules about solving algebraic equations.

  9. 1. Get the Variable by itself.2. Do the Inverse Operation, to get the variable by itself.3. What you do to one side, you must do to the other.4. Do the Check Method

  10. Complete the following chart:See sheet given in class

  11. 7y - 2

  12. Solve z + 31 = 73 for z = 42Show your work, and explain if 42 is a solution or not.

  13. Z = 42; Yes

  14. What are 3 different ways of saying:14 + c

  15. -14 added to c-14 plus c-the sum of 14 and c-14 more than c

  16. What are the two different ways of saying:n ÷ 8

  17. n divided by 8- the quotient of n and 8

  18. Which of the following values for w is true as the solution to the algebraic equation?3w2 = 48w = 3w = 4w = 6Find the answer, and show your work

  19. W = 4

  20. Mark and Timmy fell down in the middle of a basketball game going for the ball. Their sweat needed to be cleaned up off the court and the ref said, “That sweat covered up 1/20 of the court!” If the area of sweat that needed to be cleaned was 7 sq. feet, how big is the entire basketball court? Write out an algebraic equation and solve it for the area of the entire basketball court.

  21. The Area of the Basketball Court = 140 sq. feet1c/20 = 7

  22. y + 18 = 30

  23. y = 12

  24. k – 44 = 43

  25. k = 8743=43

  26. 2x + 12 = 42

  27. x = 1542 = 42

  28. 3z + 60 = 4z + 50

  29. z = 10

  30. If x + y = 8 and y ÷ x + 3 = 6. What is the value of x and y?

  31. y = 6x = 2

  32. 7s = 49

  33. S = 7

  34. 4 = w/25

  35. w = 100

  36. 6c + 4 = 82

  37. c = 13

  38. If 3y/z = 12 and z2 =81, what are the values of y and z.

  39. z = 9y = 36

  40. 3x/18 + 30 = 5 · 6 + 5

  41. x = 30

  42. Solve for y y + 50 = 190

  43. y = 140

  44. Which value of d is the solution to the problem: 3d – 22 = 14 d = 10 d = 16 d = 12

  45. d = 12

  46. What are 3 different ways of saying:22m

  47. 22 times m-22 multiplied by m-The product of 22 and m-22 groups of m

  48. What are 5 different ways of saying:k – 12* No repeating with just the numbers backwards

  49. 12 subtracted from k-k minus 12-the difference of k and 12-12 less than k-take away 12 from k

  50. The area of Sherry’s flower garden is one-fourth the area of her vegetable garden. The area of the flower garden is 17 sq. feet. Let x represent the area of her vegetable garden. Find the area of her vegetable garden.

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