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Do Now Evaluate. 1. 5(7) – 1 2. 7(18 – 11) 3. 22 + 17  8 + 3 4. 36 + 15(40 – 35)

Do Now Evaluate. 1. 5(7) – 1 2. 7(18 – 11) 3. 22 + 17  8 + 3 4. 36 + 15(40 – 35) 5. 3 3 + 7(12 – 4). 34. 49. 161. 111. 83. HWK; p 7 and p 10. EQ: How do I evaluate and simplify algebraic expressions?. M7A1b Evaluate algebriac expressions, using commuative, associative, and

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Do Now Evaluate. 1. 5(7) – 1 2. 7(18 – 11) 3. 22 + 17  8 + 3 4. 36 + 15(40 – 35)

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  1. Do Now Evaluate. 1.5(7) – 1 2. 7(18 – 11) 3. 22 + 17  8 + 3 4. 36 + 15(40 – 35) 5. 33 + 7(12 – 4) 34 49 161 111 83 HWK; p 7 and p 10

  2. EQ: How do I evaluate and simplify algebraic expressions? M7A1b Evaluate algebriac expressions, using commuative, associative, and distributive properties

  3. Vocabulary Variable – a letter that represents a number Constant – a number algebraic expression – consist of one or more variables Evaluate – substitute a number for a variable

  4. Additional Example 1: Evaluating Algebraic Expressions Evaluate k + 9 for each value of k. k + 9 A. k = 5 Substitute 5 for k. 5 + 9 14 Add. k + 9 B. k = 2 2 + 9 Substitute 2 for k. 11 Add.

  5. Check It Out: Example 1 Evaluate a + 6 for each value of a. A. a = 3 Add. 9 B. a = 5 11 Add.

  6. Multiplication and division of variables can be written in several ways, as shown in the table. When evaluating expressions, use the order of operations.

  7. Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations Evaluate the expression for the given value of the variable. A. 4x – 3 for x = 2 4(2) – 3 Substitute 2 for x. Multiply. 8 – 3 Subtract. 5

  8. Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations B. s ÷ 5 + s, for s = 15 18 C. 5x2 + 3x, for x = 2 26

  9. Check It Out: Example 2A Evaluate the expression for the given value of the variable. A. 3x – 2 for x = 3 7

  10. Check It Out: Example 2 B. r ÷ 3 + r, for r = 12 16 C. 4y2 + 2y, for y = 3 42

  11. Additional Example 3: Evaluating Algebraic Expressions with Two Variables 6 a Evaluate + 4b, for a = 3 and b = 2. 10

  12. Check It Out: Example 3 8 w Evaluate + 2x, for w = 4 and x = 2. 6

  13. Equations and Their Solutions 1-10 ? 26 + 9 = 17 ? 35 = 17 Course 2 Additional Example 1A: Determining Whether a Number is a Solution of an Equation Determine whether the given value of the variable is a solution of t + 9= 17. 26 t + 9= 17 Substitute 26 for t.  26 is not a solution of t + 9 = 17.

  14. Equations and Their Solutions 1-10 ? 8 + 9 = 17 ? 17 = 17 Course 2 Additional Example 1B: Determining Whether a Number is a Solution of an Equation Determine whether the given value of the variable is a solution of t + 9= 17. 8 t + 9= 17 Substitute 8 for t.  8 is a solution of t + 9 = 17.

  15. Equations and Their Solutions 1-10 ? 22– 5 = 12 ? 17 = 12 ? 8– 5 = 12 ? 3 = 12 Course 2 Insert Lesson Title Here Check It Out: Example 1 Determine whether each number is a solution of x– 5= 12. A. 22 x– 5= 12 Substitute 22 for x.  22 is not a solution of x– 5 = 12. B. 8 x – 5= 12 Substitute 8 for x.  8 is not a solution of x– 5 = 12.

  16. TOTD Evaluate n + 7 for each value of n. 1.n = 25 2.n =31 Evaluate each algebraic expression for the given value of the variables 3. 6y – 5 for y = 7 4. 4x2 + 3x for x = 6 5. + 3y for x = 4 and y = 3 6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks? 32 38 37 162 56 x 23 84

  17. Equations and Their Solutions 1-10 Course 2 Insert Lesson Title Here TOTD Determine whether the given value of the variable is a solution of 5 + x = 47. 1.x = 42 2.x = 52 Determine whether the given value of the variable is a solution of57 – y = 18. 3.y = 75 4.y = 39 5. Kwan has 14 marbles. This is 7 more than Drue has. Does Drue have 21 or 7 marbles? yes no no yes 7

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