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Algebra 1 notes

Learn to write, translate, and solve various algebraic equations, with real-world examples and problem-solving strategies in Algebra 1 Chapter 2. Improve your understanding of equations step by step.

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Algebra 1 notes

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  1. Algebra 1 notes Chapter 2

  2. 2-1 Notes for Algebra 1 Writing Equations

  3. Example 1 pg. 75 Translate sentences into equations. 1.) A number b divided by three is six less than c. 2.) Fifteen more than z times 6 is 11 less than y times 2.

  4. Example 1 pg. 75 Translate sentences into equations. 1.) A number b divided by three is six less than c. 2.) Fifteen more than z times 6 is 11 less than y times 2.

  5. Example 2 pg. 76 Use the four-step Problem-solving plan. JELLY BEANS A jelly bean manufacturer produces 1,250,000 jelly beans per hour. How many hours does it take to produced 10,000,000 jelly beans?

  6. Example 2 pg. 76 Use the four-step Problem-solving plan. JELLY BEANS A jelly bean manufacturer produces 1,250,000 jelly beans per hour. How many hours does it take to produced 10,000,000 jelly beans? 8 hours

  7. Formula A rule for the relationship between certain quantities.

  8. Example 3 pg. 76 Write a formula GEOMETRY Translate the sentence into a formula. The perimeter of a square equals four times the length of a side.

  9. Example 3 pg. 76 Write a formula GEOMETRY Translate the sentence into a formula. The perimeter of a square equals four times the length of a side.

  10. Example 4 pg. 77 Translate Equations into Sentences 1.) 2.)

  11. Example 4 pg. 77 Translate Equations into Sentences 1.) Twelve minus two times x equals negative five. 2.) a squared plus three times b equals c divided by 6.

  12. Example 5 pg. 77 Write a Problem Write a problem based on the given information. f = cost of fries f + 1.50 = cost of burger 4(f + 1.50) – f = 8.25

  13. Example 5 pg. 77 Write a Problem Write a problem based on the given information. f = cost of fries f + 1.50 = cost of burger 4(f + 1.50) – f = 8.25 The cost of a burger is $1.50 more than the cost of fries. Four times the cost of a burger minus the cost of fries equals $8.25. How much do fries cost?

  14. 2-1 pg. 78 21-39o, 40-45, 51-60(x3)

  15. 2-2 Notes for Algebra 1 Solving One-step Equations

  16. Addition Property of Equality For any real numbers a, b and c, If , then

  17. Example 1 pg. 83 solve by adding 1.

  18. Example 1 pg. 83 solve by adding 1.

  19. Subtraction Property of Equality For any real numbers a, b and c, If , then

  20. Example 2 pg. 84 Solve by subtraction 1.)

  21. Example 2 pg. 84 Solve by subtraction 1.)

  22. Multiplicatin Property of Equality For any real numbers a, b and c, If , then

  23. Division Property of Equality For any real numbers a, b and c , If , then

  24. Example 3 pg. 85 Solve by multiplying or dividing 1.) 2.)

  25. Example 3 pg. 85 Solve by multiplying or dividing 1.) 2.)

  26. Example 4 pg. 85 Real world example. TRAVEL Ricardo is driving 780 miles to Memphis. He drove about of the distance on the first day. About how many miles did Ricardo drive?

  27. Example 4 pg. 85 Real world example. TRAVEL Ricardo is driving 780 miles to Memphis. He drove about of the distance on the first day. About how many miles did Ricardo drive? about 468 miles

  28. 2-2 pg. 86 19-61o, 72-74, 81-87(x3)

  29. 2-3 Notes for Algebra 1 Solving Multi-Step Equations

  30. Steps for solving Multi-Step Equations • Simplify both sides of the equation. • Get the variable you are solving for on one side of the equation. • Get rid of anything being added or subtracted to the variable. • Get rid of anything being multiplied or divided to the variable.

  31. Example 1 pg. 91 Solve Multi-Step Equations 1.) 2.)

  32. Example 1 pg. 91 Solve Multi-Step Equations 1.) 2.)

  33. Example 2 pg. 92 Real World example SHOPPING Susan had a $10 coupon for the purchase of any item. She bought a coat that was on sale for its original price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat? Write an equation for the problem. Then solve the equation.

  34. Example 2 pg. 92 Real World example SHOPPING Susan had a $10 coupon for the purchase of any item. She bought a coat that was on sale for its original price. After using the coupon, Susan paid $125 for the coat before taxes. What was the original price of the coat? Write an equation for the problem. Then solve the equation. ; 270, so the original price of the coat was $270

  35. How to solve Consecutive Integer problems.

  36. Number Theory The study of numbers and the relationships between them.

  37. Example 3 pg. 93 Solve a consecutive integer problem. NUMBER THEORY Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive odd integers with a sum of 57.

  38. Example 3 pg. 93 Solve a consecutive integer problem. NUMBER THEORY Write an equation for the following problem. Then solve the equation and answer the problem. Find three consecutive odd integers with a sum of 57. or The consecutive odd integers are 17, 19, and 21

  39. 2-3 pg. 94 11-39o, 40, 41-51o, 54, 60-78(x3)

  40. 2-4 Notes for Algebra 1 Solving Equations with variables on each side

  41. Example 1 pg. 97 Solve an Equation with Variables on Each side. 1.)

  42. Example 1 pg. 97 Solve an Equation with Variables on Each side. 1.)

  43. Example 2 pg. 98 Solve an equation with grouping Symbols 1.)

  44. Example 2 pg. 98 Solve an equation with grouping Symbols 1.)

  45. Identities Equations that are true for all values of the variables.

  46. Example 3 pg. 98 Find special solutions 1.) 2.)

  47. Example 3 pg. 98 Find special solutions 1.) 2.) no solution all real numbers

  48. Example 4 pg. 99 Write an Equation 1.) Find the value of h so that the figures have the same area (h – 2) h 10 6

  49. Example 4 pg. 99 Write an Equation 1.) Find the value of h so that the figures have the same area. h = 5 h (h – 2 ) 10 6

  50. 2-4 pg. 100 11-37o, 38-42, 48-72(x3)

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