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Lesson  1.3 , For use with pages  13-18 Evaluate the expression. 1. 5 • 6 + 3 • 2 Reminder :   You need your  math book  and  calculator  in class today! 2. 21  (9 – 2)
Lesson  1.3 , For use with pages  13-18 Evaluate the expression. 1. 5 • 6 + 3 • 2 Reminder :   You need your  math book  and  calculator  in class today! ANSWER 36 ANSWER 3 2. 21  (9 – 2)
Lesson 1.3  Variables and Expressions Day 1  Objective: To be able to write and evaluate variable expressions.
[object Object],[object Object],[object Object],[object Object],Vocabulary
Vocabulary Name some synonyms for addition, subtraction, multiplication and division. See page 14 in your textbook. Addition Subtraction Multiplication Division Plus The sum of Increased by Total More than Added to Minus The difference of Decreased by Fewer than Less than Subtracted from Times The product of  Multiplied by Of  Twice Divided by  The quotient of Separate into  equal parts
EXAMPLE 3 Translating Verbal Phrases Verbal Phrase Variable Expression The sum of a number and  9 The difference of a number and  21 The product of  6  and a number The quotient of  48  and a number One third of a number n  + 9 n   – 21 6 n 48 n 3 1 n
GUIDED PRACTICE for Examples 2 and 3  Write the phrase as a variable expression using   x . 8.   a number increased by   15 9.   8   times a number x  + 15 8 x Verbal Phrase Variable Expression
GUIDED PRACTICE for Examples 2 and 3  Evaluate the expression when   a   = 12   and   b   =  3 . 4.   9 a 5 .   ab Substitute  12  for  a = 9(12) = 108 Substitute  12  for  a  and  3  for  b = (12)(3) = 36 Multiply. Multiply.
EXAMPLE 2 Evaluating Variable Expressions Evaluate the expression when   x   = 8   and   y   = 2 . a.   3 x   – 5 y   Substitute  8  for  x   and  2  for  y . Multiply. Subtract. Substitute  8  for  x   and  2  for  y . Add. b.  5( x   +  y ) Multiply. 3( 8 ) – 5( 2 ) = 24 – 10 = 14 = 5( 8 + 2 ) = 50 = = 5(10)
GUIDED PRACTICE for Examples 2 and 3  Evaluate the expression when   a   = 12   and   b   =  3 . 6.   b ( a  – 6) = 3(12 – 6) Substitute  12  for  a  and  3  for  b = 3(6) Subtract. Multiply. = 18
GUIDED PRACTICE for Examples 2 and 3  Evaluate the expression when   a   = 12   and   b   =  3 . Substitute  12  for  a  and  3  for  b Multiply. Subtract. = 8 Divide. 7. 6 a a –   b 6(12) 12 – 3  = 72 12 – 3  = 9  72 =
Do together: Page 15 #40-43 ,[object Object],[object Object],[object Object]
Do together: Page 15 #40-43 ,[object Object]
Do together: Page 15 #40-43 ,[object Object]
Do together: Page 15 #40-43
Do together: Page 15 #40-43 ,[object Object]
Homework ,[object Object],[object Object],[object Object],[object Object],NWEA tomorrow! Meet in the 6 th  grade computer lab. (by the office)

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1.3 variables and expressions 1

  • 1. Lesson 1.3 , For use with pages 13-18 Evaluate the expression. 1. 5 • 6 + 3 • 2 Reminder : You need your math book and calculator in class today! 2. 21 (9 – 2)
  • 2. Lesson 1.3 , For use with pages 13-18 Evaluate the expression. 1. 5 • 6 + 3 • 2 Reminder : You need your math book and calculator in class today! ANSWER 36 ANSWER 3 2. 21 (9 – 2)
  • 3. Lesson 1.3 Variables and Expressions Day 1 Objective: To be able to write and evaluate variable expressions.
  • 4.
  • 5. Vocabulary Name some synonyms for addition, subtraction, multiplication and division. See page 14 in your textbook. Addition Subtraction Multiplication Division Plus The sum of Increased by Total More than Added to Minus The difference of Decreased by Fewer than Less than Subtracted from Times The product of Multiplied by Of Twice Divided by The quotient of Separate into equal parts
  • 6. EXAMPLE 3 Translating Verbal Phrases Verbal Phrase Variable Expression The sum of a number and 9 The difference of a number and 21 The product of 6 and a number The quotient of 48 and a number One third of a number n + 9 n – 21 6 n 48 n 3 1 n
  • 7. GUIDED PRACTICE for Examples 2 and 3 Write the phrase as a variable expression using x . 8. a number increased by 15 9. 8 times a number x + 15 8 x Verbal Phrase Variable Expression
  • 8. GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression when a = 12 and b = 3 . 4. 9 a 5 . ab Substitute 12 for a = 9(12) = 108 Substitute 12 for a and 3 for b = (12)(3) = 36 Multiply. Multiply.
  • 9. EXAMPLE 2 Evaluating Variable Expressions Evaluate the expression when x = 8 and y = 2 . a. 3 x – 5 y Substitute 8 for x and 2 for y . Multiply. Subtract. Substitute 8 for x and 2 for y . Add. b. 5( x + y ) Multiply. 3( 8 ) – 5( 2 ) = 24 – 10 = 14 = 5( 8 + 2 ) = 50 = = 5(10)
  • 10. GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression when a = 12 and b = 3 . 6. b ( a – 6) = 3(12 – 6) Substitute 12 for a and 3 for b = 3(6) Subtract. Multiply. = 18
  • 11. GUIDED PRACTICE for Examples 2 and 3 Evaluate the expression when a = 12 and b = 3 . Substitute 12 for a and 3 for b Multiply. Subtract. = 8 Divide. 7. 6 a a – b 6(12) 12 – 3 = 72 12 – 3 = 9 72 =
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  • 15. Do together: Page 15 #40-43
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