1 / 15

Learning Algebra

Learning Algebra. Amber Elsner 8 th Grade Algebra. Click for the next slide. Algebra Topics. CLICK either the text or image to learn each algebra topic!. Combining Like Terms. Algebraic Expressions. Distributive Properties. Multiplying Binomials : FOIL (smiling man).

lydie
Download Presentation

Learning Algebra

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. Learning Algebra Amber Elsner 8th Grade Algebra Click for the next slide

  2. Algebra Topics CLICK either the text or image to learn each algebra topic! Combining Like Terms Algebraic Expressions Distributive Properties Multiplying Binomials: FOIL (smiling man) Multiplying Binomials: Box Method Multiplying Monomials Graphing Solving Equations Review Question

  3. Algebraic Expressions • Equation- a complete math sentence that includes an equal sign • Expression- a math sentence without an equal sign • Terms- separate values in an expression • Variable- unknown number, often represented by “x” • Constant- a number that doesn’t change • Coefficient- number that is multiplied by the variable = 2 • Monomial- 1 term • Ex: (xy) • Binomial- 2 terms • Ex: (xy – zx) • Trinomial- 3 terms • Ex: (xy – zx + 4y) • Quadnomial- 4 terms • Ex: (xy – zx + 4y – 3) Click to go back to Algebra Topics

  4. Combining Like Terms • Add or Subtract integers, combine coefficients • Keep operations with correct terms • 4x - 7x  -3x • Order of the terms does not matter Example: 3y + 2x - 9y (combine 3y and -9y) 2x - 6y (another way to write it) -6y + 2x Click to go back to Algebra Topics

  5. Distributive Properties Distribute the x to the y and the z x (y + z) = xy + xz x (y – z) = xy – xz Note: that the (+) and (–) signs separate the xy and the xz when the x is distributed Note: These do not work with subtraction or division. Click to go back to Algebra Topics

  6. Multiplying Monomials Click to go back to Algebra Topics

  7. Multiplying Binomials: FOIL (smiling man) • FOIL stands for: • F: multiply the first terms in each factor • (x – 2)(2x + 1) • O: multiply the outside terms in each factor • (x – 2)(2x + 1) • I: multiply the inside terms in each factor • (x – 2)(2x + 1) • L: multiply the last terms in each factor • (x – 2)(2x + 1) Result from FOIL: 2x²+ x – 4x – 2 Simplify: 2x² – 3x – 2 Click to go back to Algebra Topics

  8. Multiplying Binomials: Box Method • Multiply each factor in rows and in columns • Top left box: x² • Top right box: -2x • Bottom left box: 4x • Bottom right box: -8 • Create a two-by-two box • One factor goes on top • The other goes on the side • Signs should stay with the correct number and variable X - 2 • Add together each term • x² + 4x – 2x – 8 • Combine like terms • x² + 2x – 8 X + 4 Click to go back to Algebra Topics

  9. Graphing • Use two axes • Horizontal x-axis • Vertical y-axis • When x and y axes meet they form 4 quadrants • Labeled 1 to 4 in Roman numerals • Quadrant I is in top right • Quadrant II is in top left • Quadrant III is in bottom left • Quadrant IV is in bottom right • If a point is on the x or y axes, then that point is not located in any quadrant. • Plotting points • Writtenas (x , y) • Always start at the origin • Center point of the graph (0 , 0) • Find the position on the x-axis • Locate the position on the y-axis • Plot where the two meet Click to go back to Algebra Topics

  10. Solving Equations • Whatever you do to one side you MUST do to the other side • Why? To keep each side balanced! • Isolate variables by using opposite operations • Addition: use subtraction • x + 1 = 5 • - 1 - 1 • x = 4 • Subtraction: use addition • x – 2 = -6 • + 2 + 2 • x = -4 • Multiplication: use division • 3x = 21 • 3 3 • x = 7 • Division: use multiplication • x/3 = 5 • * 3 * 3 • x = 15 Click to go back to Algebra Topics

  11. REVIEW QUESTION! What is the correct, simplified answer when you multiply the binomial (2x – 2)(x + 5) ? • 2x² – 8x – 10 • 2x² + 8x – 10 • 2x² + 12x + 10

  12. 2x² – 8x – 10 Watch the signs when using the distributive property and multiplying the numbers. Check your work and go back to try again Click to go back to Review Question

  13. Correct! 2x² + 8x – 10 Great work! You multiplied the binomial and simplified it correctly! Click to continue

  14. 2x² + 12x + 10 Watch the signs when using the distributive property and multiplying the numbers. Check your work and go back to try again Click to go back to Review Question

  15. Congratulations! You have successfully completed learning some basic algebra concepts! Click ALGEBRA to return to the title slide for the next student:

More Related