Algebra Tiles Problem Solving & Examples
Dive into solving algebraic equations using visual representations of algebra tiles. This comprehensive guide covers various scenarios and operations, providing step-by-step solutions and explanations. Explore examples such as combining positive and negative integers, using zero pairs effectively, and simplifying expressions. Sharpen your algebra skills with these practice scenarios and enhance your understanding of mathematical concepts.
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Presentation Transcript
The algebra tiles have 2 sides 1 x Red side is the negative side.
Zero Pairs Zero Pairs Don t use cancel out for zeros. Use zero pairs or add up to zero. + - - +
What is this worth? + + + + + + 2 - - - -
What is this worth? + + + -3 - - - - - -
What is: 6 + 2 + + + + + = + + + + + + + + + + + +
Work out 6 + -2 + + - + + = + + - + + + + +
What is: -(3) + -(4) - - - - = + - - - - - - - - - -
Work out + 8 - (+ 4) + + + + + + = - + + + + + + - - + + - - + +
Work out: - 4 - (+ 2) - - - - - + = - + - - - - - - -
Example 5 - 3 - (- 5) + - - + = - + + + - - + - - + - + -
2 + 3 6 + (- 4) = 5 = 2 3 - 5 = 3 + (- 5) = - 2 2- (- 5) = 2 + 5 = 7
2 + 3 3 + 2 = 5 = 5 = - 2 3 + (- 5) (- 5) + 3 = -2
2 + 3 + 5 = 10 = 10 3 + 2 + 5 = 10 5 + 3 + 2
4 + (- 5) + 3 = 2 = 2 3 + 4 + (- 5) (- 5) + 3 + 4 = 2
Example 6 3 (-1) (-4) = 3 + 1 + 4 + - - + + + - + + + - + + + - +
Example 7 5 (-3) 5 = 5 + 3 - 5 + - - + + - - - - + + + - - - + + + - - + + - - + +
Your turn. a) 3 + (-7) -4 e) 8 - (-2) 10 i) 5 - (11) -6 b) (-4) + 3 f) -3 + 10 7 j) -2 -(-9) 7 -1 c) -6 - (-4) g) -1 - (-1) k) 5 - (12) -7 -2 0 d) -5 + (-3) h) 6 + (-9) -3 l) 7 + (-5) -8 2
Your turn. 1 e) 5 - (-2) 8 -1 a) 3 + (-4) + 2 b) (-2) + (-3) + 4 -1 f) -2 + 8 + (-3) 3 0 c) -2 - (-4) + 4 g) -1 - (-5) + 4 6 d) -1 + (-6) + 9 h) 6 + (-2) + (-2) 2 -3
Exercise One Exercise One 1. 1. 14 + ( 14 + ( 9) 1. 1. 5 5 9) 2. 2. 3 + ( 3 + ( 2) 2. 2. 1 1 2) 3. 3. 12 + ( 12 + ( 7) 3. 3. 5 5 7) 4. 4. 10 + ( 10 + ( 6) 4. 4. 4 4 6) 5. 5. 8 + ( 8 + ( 3) 5. 5. 5 5 3) 6. 6. 4 + ( 4 + ( 10) 6. 6. - -6 6 10) 7. 7. 15 + ( 15 + ( 14) 7. 7. 1 1 14) 8. 8. 13 + ( 13 + ( 15) 8. 8. - -2 2 15) 10. 10. 1 + ( 1 + ( 2) 10. 10. - -1 1 12. 12. 2 + ( 2 + ( 5) 12. 12. - -3 3 11. 11. 5 + ( 5 + ( 6) 11. 11. - -1 1 9. 9. 18 + ( 18 + ( 9) 9. 9. 9 9 9) 2) 6) 5) 15. 15. 23 + ( 23 + ( 2) 15. 15. 25 25 14. 14. 11 + ( 11 + ( 11) 14. 14. 0 0 16. 16. 7 + ( 16. 16. 11 7 + ( 4) 11 13. 13. 4 + ( 13. 13. 8 8 4 + ( 4) 4) 11) 2) 4) 17. 17. 5 + ( 17. 17. 17 5 + ( 12) 17 18. 18. 1 + ( 18. 18. 14 1 + ( 13) 14 19. 19. 3 + ( 19. 19. 20 3 + ( 17) 20 20. 20. 28 + ( 28 + ( 5) 20. 20. 33 33 12) 13) 17) 5)
Exercise Exercise Two Two 1. 1. 1 1 ( ( 7) 1. 1. 8 8 7) 2. 2. 2 2 ( ( 3) 2. 2. 5 5 3) 3. 3. 7 7 ( ( 8) 3. 3. 15 15 8) 4. 4. 2 2 ( ( 9) 4. 4. 11 9) 11 6. 6. 4 4 ( ( 5) 6. 6. 9 9 8. 8. 3 3 ( ( 17) 8. 8. 20 20 5. 5. 8 8 ( ( 3) 5. 5. 11 11 7. 7. 1 1 ( ( 17) 7. 7. 18 18 3) 5) 17) 17) 10. 10. 5 5 ( ( 2) 10. 10. 7 7 12. 12. 2 2 ( ( 27) 12. 12. 29 29 11. 11. 5 5 ( ( 17) 11. 11. 22 22 9. 9. 8 8 ( ( 9) 9. 9. 17 17 9) 2) 17) 27) 13. 13. 13 13. 13. - -6 6 13 ( ( 7) 7) 14. 14. 12 14. 14. - -5 5 12 ( ( 7) 7) 15. 15. 6 6 ( ( 1) 15. 15. - -5 5 1) 16. 16. 11 16. 16. - -9 9 11 ( ( 2) 2) 17. 17. 3 3 ( ( 2) 17. 17. - -1 1 2) 18. 18. 1 1 ( ( 15) 18. 18. 14 15) 19. 19. 3 3 ( ( 7) 19. 19. 4 4 7) 20. 20. 8 8 ( ( 2) 20. 20. 6 6 2) 14
