Lesson 4 2 Page 180 Simplifying Algebraic Expressions

Lesson 4. 2 Page 180 Simplifying Algebraic Expressions

Vocabulary Chapter 4 Lessons 4. 1 and 4. 2 Equivalent Expressions - Expressions with the same value Term - Addition and Subtraction signs separate an algebraic expression into parts Coefficient - Part of a term that has a variable Like Terms - Terms that contain the same variable Constant - Term without a variable Simplest Form - Algebraic expression with no like terms and no parentheses

Today we will look at examples 1 and 2 Page 182 - 183

Identify Parts of an Expression 3 x + 4 y + 4 x 5 x + 3 + 7 x + 4 6 x - 2 y + x - 5 3 n + 5 m - 6 m + 2 Terms Like Terms Coefficients Constant

Identify Parts of an Expression 3 x + 4 y + 4 x 5 x + 3 + 7 x + 4 6 x - 2 y + x - 5 3 n + 5 m - 6 m + 2 Terms Like Terms Coefficients Constant

Identify Parts of an Expression -2 a + 3 a + 5 b 2 x + 3 x + 4 x mn + 4 m + 6 n + 2 mn 3 a + 5 b + 4 + 6 a 3 x + 4 x + 5 y -4 p - 6 q - 5 Terms Like Terms Coefficients Constant

Questions?

Page 181 Problems 15 - 20 Identify the parts of the expression 16. 4 m + 3 + m + 1 18. 7 j + 11 jk + 9 20. 3 m + 3 n + 2 p + 4 r Terms Like Terms Coefficients Constants

Page 181 Problems 15 - 20 Identify the parts of the expression 16. 4 m + 3 + m + 1 18. 7 j + 11 jk + 9 20. 3 m + 3 n + 2 p + 4 r Terms Like Terms Coefficients Constants

Today we will work problems like example 3 Page 181 We will Simplify Expressions Remember Simplify Form means you have grouped (combined) like terms

4 x + 6 + 2 x Group like terms 5 n + 2 - n - 6

6 y - 3(x - 2 y) 4 x + 6 - 3 x

2 m + 3 - 7 n - 4 4(q + 8 p) + p

Page 182 - 183 Work problems 12 and 4 a - 6 - 2(a - 1) 32 -2(2 x - 5) - 4 x

Page 183 Problem 44

Page 183 rewrite Problem 44

Page 183 remove () Problem 44 b y multiplying

Page 183 remove () Problem 44 multiplying b get common denominator y

Page 183 Problem 44 remove () multiplying b get common denominator y combine like terms

Page 183 remove () Problem 44 multiplying b get common denominator y combine like terms

Questions?

Assignment Simplify Each Expression Page 182 - 183 Problems 7 - 11 and 21 - 31 3 2 and 37 - 44 Group Like Terms

7. 6 x + 2 x + 3 8. -2 a + 3 a + 6 9. 7 x + 4 -5 x -8

10. 5 a - 2 - 3 a + 7 11. -3(m-1) + 4 m + 2

21. 4 a + 3 a 22. 9 x + 2 x

23. - 5 m + 5 24. 6 x - x + 3

25. 7 p + 3 + 4 p + 5 26. 2 a + 4 + 2 a + 9

27. 4 a - 3 b - 7 a - 3 b 28. -x -2 y -8 x - 2 y

29. x + 5(6 + x) 30. 2 a + 3(2 + a)

31. -3(6 - 2 r) - 3 r

More complex problems Page 183

Page 183 Problems 37 - 44

Page 183 Problems 37 - 44

Page 183 Problems 37 - 44