1 / 6

Introduction to Algebra Part 1

Introduction to Algebra Part 1. Algebra and Arithmetic Similarities and Differences. Introduction to Algebra part 1 . 4 3 . V sphere = π r 3. Arithmetic uses numbers and operations to solve number problems. Algebra is the branch of mathematics that

chandra
Download Presentation

Introduction to Algebra Part 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Introduction to AlgebraPart 1 Algebra and Arithmetic Similarities and Differences

  2. Introduction to Algebra part 1 4 3 Vsphere = πr3 Arithmetic uses numbers and operations to solve number problems. Algebra is the branch of mathematics that uses letters and numbers. A = lw d = st x + 15 = 22 E = mc2 A = πr2 x3 = x * x * x s + s + s + s = P 6x y = mx + b

  3. Introduction to Algebra part 1 A problem for you to solve. Problem #1 I put two coins in my pocket. When I empty my pocket, there are eight coins total. How many coins were in my pocket to begin with? Arithmetic solution: ? + 2 = 8 8 – 2 = ? 8 – 2 = 6 6 + 2 = 8, 8 = 8  There were 6 coins in my pocket. Algebraic solution: Let x = the number of coins in my pocket to begin with. x + 2 = 8 x = 8 – 2 x = 6 6 + 2 = 8, 8 = 8  There were 6 coins in my pocket to begin with.

  4. Introduction to Algebra part 1 Another problem for you to solve. Problem #2 It takes me 2 hours to drive from here to Wendover. It is 100 miles to Wendover. How fast, on average, was I driving? Arithmetic solution: 100  2 = ? 100  2 = 50 2 x 50 = 100, 100 = 100  I averaged 50 miles per hour. Algebraic solution: Let x = my average speed for one hour. 2x = 100 x = 100  2 x = 50 2(50) = 100, 100 = 100  I drove 50 miles per hour.

  5. Introduction to Algebra part 1 A tougher problem for you to solve. Problem #3 I’m throwing a birthday party and I want everyone to have a chair to sit on. I want to set up 10 tables with chairs in the yard and 5 chairs for a band on a stage. There will be 45 people at the party including the band members. How many chairs will be at each table? Arithmetic solution: (45 – 5)  10 = 40  10 = 4 4 x 10 + 5 = 45, 45 = 45  4 chairs will be at each table. Algebraic solution: Let x = the number of chairs at each table. 10x + 5= 45 10x = 45 – 5 x = 40  10 x = 4 10(4) + 5 = 45, 40 + 5 = 45, 45 = 45  There will be 4 chairs at each table.

  6. Introduction to Algebra part 1 4 3 Vsphere = πr3 A = lw s + s + s + s = P x + 15 = 22 Conclusion d = st x3 = x * x * x Some problems can be solved using either arithmetic or algebra. The more complicated the problem, the harder it is to solve it using arithmetic. Tomorrow, we will try arithmetic and use algebra to solve a problem that would be very difficult to solve using arithmetic alone. y = mx + b E = mc2 6x A = πr2

More Related