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Lesson 2.1: Writing Equations

Lesson 2.1: Writing Equations. Algebra 1 CP Mrs. Mongold. Things to remember when writing equations. Things to remember when writing equations. 1. Use variables to represent the unspecified numbers or measures ( unknowns ). Things to remember when writing equations.

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Lesson 2.1: Writing Equations

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  1. Lesson 2.1: Writing Equations Algebra 1 CP Mrs. Mongold

  2. Things to remember when writing equations

  3. Things to remember when writing equations • 1. Use variables to represent the unspecified numbers or measures (unknowns)

  4. Things to remember when writing equations • 1. Use variables to represent the unspecified numbers or measures (unknowns) • 2. Turn the words into an equation

  5. Things to remember when writing equations • 1. Use variables to represent the unspecified numbers or measures (unknowns) • 2. Turn the words into an equation • 3. Remember some key terms

  6. 1. Use variables to represent the unspecified numbers or measures (unknowns) 2. Turn the words into an equation 3. Remember some key terms Things to remember when writing equations

  7. 4 Step Plan • 4 Steps to Problem Solving

  8. 4 Step Plan • 4 Steps to Problem Solving • Explore the problem (read the whole thing)

  9. 4 Step Plan • 4 Steps to Problem Solving • Explore the problem (read the whole thing) • Plan the solution (write the equation)

  10. 4 Step Plan • 4 Steps to Problem Solving • Explore the problem (read the whole thing) • Plan the solution (write the equation) • Solve the problem

  11. 4 Step Plan • 4 Steps to Problem Solving • Explore the problem (read the whole thing) • Plan the solution (write the equation) • Solve the problem • Check the solution (does it make sense?)

  12. Examples • 1. Two plus the quotient of a number and 8 is the same as 16

  13. Examples

  14. Examples • 2.Twenty-seven times k is h squared decreased by 9

  15. Examples • 2.Twenty-seven times k is h squared decreased by 9 • 27k = h2 – 9

  16. Examples • 3. Five times the number a squared is three times the sum of b and c

  17. Examples • 3. Five times the number a squared is three times the sum of b and c • 5a2 = 3(b + c)

  18. Examples • 4.Nine times a number subtracted from 95 equals 37

  19. Examples • 4.Nine times a number subtracted from 95 equals 37 • 95- 9n = 37

  20. Real-World Problem • The first ice cream plant was established in 1851, by Jacob Fussell. Today, 2,000,000 gallons of ice cream are produced in the United States each day. In how many days can 40,000,000 gallons of ice cream be produced in the United States?

  21. Real-World Problem • The first ice cream plant was established in 1851, by Jacob Fussell. Today, 2,000,000 gallons of ice cream are produced in the United States each day. In how many days can 40,000,000 gallons of ice cream be produced in the United States? • 2,000,000d = 40,000,000

  22. Real World Problem There are 50 members in the North Carolina Senate. This is 70 fewer than the number in the North Carolina House of Representatives. How many members are in the North Carolina House of Representatives?

  23. Real World Problem There are 50 members in the North Carolina Senate. This is 70 fewer than the number in the North Carolina House of Representatives. How many members are in the North Carolina House of Representatives? 50 = x - 70

  24. Example Write a problem • Write your own word problem based on the given information. a= Rafael’s age, a+5= Tierra’s age, a+2(a+5)=46

  25. Translate each equation into verbal sentences. • 1. 3m+5=14

  26. Translate each equation into verbal sentences. • 1. 3m+5=14 • Three times a number plus five is fourteen

  27. Translate each equation into verbal sentences. • 2. w + v = y2

  28. Translate each equation into verbal sentences. • 2. w + v = y2 • The sum of two numbers is equal to the square of a third number

  29. Translate each equation into verbal sentences. • 3. 13 = 2 +6t

  30. Translate each equation into verbal sentences. • 3. 13 = 2 +6t • Thirteen is equal to 2 plus the product of 6 and a number

  31. Translate each equation into verbal sentences. • 4. ½ n + 5 = n- 7

  32. Translate each equation into verbal sentences. • 4. ½ n + 5 = n- 7 • One-half a number plus five is equal to that same number minus seven

  33. How to use a formula

  34. How to use a formula • 1. Write the formula

  35. How to use a formula • 1. Write the formula • 2. Substitute for any known variables

  36. How to use a formula • 1. Write the formula • 2. Substitute for any known variables • 3. Solve the equation

  37. How to use a formula • 1. Write the formula • 2. Substitute for any known variables • 3. Solve the equation • 4. Check the answer (does it make sense?)

  38. Important Formulas • Perimeter=2l+2w • Area of a Square= lw or s2 • Area of a Triangle= ½ bh • Area of a Circle= πr2

  39. Homework • Chapter 2 Packets pgs 7 and 8 Evens

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