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Lesson  1.5 , For use with pages  26-30 Evaluate the expression when   x =  11 . 1. 3 x 2 2. 5 x –  17
Lesson  1.5 , For use with pages  26-30 Evaluate the expression when   x =  11 . 1. 3 x 2 2. 5 x –  17 ANSWER 363 ANSWER 38
Lesson 1.5  Equations and Solutions  Objective: To be able to write and solve equations using mental math.
[object Object],[object Object],[object Object],Vocabulary
EXAMPLE 1 Using Mental Math to Solve Equations Solve the equation using mental math.  Write these in your note book and solve them. SOLUTION To solve an equation using mental math, think of the equation as a question. a. 15 –  n  = 4 a. 15  minus  what number   equals  4 ? 15  –   11   = 4, so  n  = 11.
EXAMPLE 1 Using Mental Math to Solve Equations Solve the equation using mental math.  Write these in your note book and solve them. SOLUTION To solve an equation using mental math, think of the equation as a question. b. 8 x  = 32 b. 8  times  what number  equals  32 ? 8( 4 ) = 32, so  x  = 4.
EXAMPLE 1 Using Mental Math to Solve Equations Solve the equation using mental math.  Write these in your note book and solve them. SOLUTION To solve an equation using mental math, think of the equation as a question. c. r  12 = 4 c. What number   divided by  12  equals  4 ? 48   12 = 4, so  r  = 48.
GUIDED PRACTICE for Examples 1, 2, and 3 Solve the equation using mental math. SOLUTION To solve an equation using mental math, think of the equation as a question. 1. 5 x  = 45 5  times  what number   equals  45 ? 5(9)   = 45, so  x  = 9.
GUIDED PRACTICE for Examples 1, 2, and 3 Solve the equation using mental math. SOLUTION To solve an equation using mental math, think of the equation as a question. 16  plus  what number   equals  21 ? 16 + 5 = 21, so  n  = 5. 2. 16 +  n  = 21
GUIDED PRACTICE for Examples 1, 2, and 3 Solve the equation using mental math. SOLUTION To solve an equation using mental math, think of the equation as a question. What number   divided by  6  equals  9 ? 54   6 = 9, so  r  = 54. 3. t  6 = 9
GUIDED PRACTICE for Examples 1, 2, and 3 SOLUTION Tell whether the value of the variable is a solution of the equation. y  = 8 Substitute for  y   and then simplify. 4. 88   y  = 8 11  8 ≠ 88   8  8 88   y  = 8 No,   8  is not a solution. ANSWER
GUIDED PRACTICE for Examples 1, 2, and 3 SOLUTION 16 = 16 Substitute for  a   and then simplify. a  + 9   = 16 Tell whether the value of the variable is a solution of the equation. a  = 7 ANSWER Yes,   16  is a solution. 7 + 9  16 5. a  + 9   = 16
GUIDED PRACTICE for Examples 1, 2, and 3 SOLUTION Tell whether the value of the variable is a solution of the equation. n  = 2 Substitute for  n   and then simplify. 7 n  = 13 6. 7 n  = 13 7(2)  13 14  13 ≠ No,   2  is not a solution. ANSWER
Do together:  page 29 #45-50
Do together:  page 29 #45-50 ,[object Object],[object Object]
Do together:  page 29 #45-50
Do together:  page 29 #45-50 ,[object Object],[object Object]
Do together:  page 29 #45-50 ,[object Object],[object Object]
Do together:  page 29 #45-50 ,[object Object]
Do together:  page 29 #45-50
Do together:  page 29 #45-50 ,[object Object],[object Object]
Homework ,[object Object]

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1.5 equations and solutions 1

  • 1. Lesson 1.5 , For use with pages 26-30 Evaluate the expression when x = 11 . 1. 3 x 2 2. 5 x – 17
  • 2. Lesson 1.5 , For use with pages 26-30 Evaluate the expression when x = 11 . 1. 3 x 2 2. 5 x – 17 ANSWER 363 ANSWER 38
  • 3. Lesson 1.5 Equations and Solutions Objective: To be able to write and solve equations using mental math.
  • 4.
  • 5. EXAMPLE 1 Using Mental Math to Solve Equations Solve the equation using mental math. Write these in your note book and solve them. SOLUTION To solve an equation using mental math, think of the equation as a question. a. 15 – n = 4 a. 15 minus what number equals 4 ? 15 – 11 = 4, so n = 11.
  • 6. EXAMPLE 1 Using Mental Math to Solve Equations Solve the equation using mental math. Write these in your note book and solve them. SOLUTION To solve an equation using mental math, think of the equation as a question. b. 8 x = 32 b. 8 times what number equals 32 ? 8( 4 ) = 32, so x = 4.
  • 7. EXAMPLE 1 Using Mental Math to Solve Equations Solve the equation using mental math. Write these in your note book and solve them. SOLUTION To solve an equation using mental math, think of the equation as a question. c. r 12 = 4 c. What number divided by 12 equals 4 ? 48 12 = 4, so r = 48.
  • 8. GUIDED PRACTICE for Examples 1, 2, and 3 Solve the equation using mental math. SOLUTION To solve an equation using mental math, think of the equation as a question. 1. 5 x = 45 5 times what number equals 45 ? 5(9) = 45, so x = 9.
  • 9. GUIDED PRACTICE for Examples 1, 2, and 3 Solve the equation using mental math. SOLUTION To solve an equation using mental math, think of the equation as a question. 16 plus what number equals 21 ? 16 + 5 = 21, so n = 5. 2. 16 + n = 21
  • 10. GUIDED PRACTICE for Examples 1, 2, and 3 Solve the equation using mental math. SOLUTION To solve an equation using mental math, think of the equation as a question. What number divided by 6 equals 9 ? 54 6 = 9, so r = 54. 3. t 6 = 9
  • 11. GUIDED PRACTICE for Examples 1, 2, and 3 SOLUTION Tell whether the value of the variable is a solution of the equation. y = 8 Substitute for y and then simplify. 4. 88 y = 8 11 8 ≠ 88 8 8 88 y = 8 No, 8 is not a solution. ANSWER
  • 12. GUIDED PRACTICE for Examples 1, 2, and 3 SOLUTION 16 = 16 Substitute for a and then simplify. a + 9 = 16 Tell whether the value of the variable is a solution of the equation. a = 7 ANSWER Yes, 16 is a solution. 7 + 9 16 5. a + 9 = 16
  • 13. GUIDED PRACTICE for Examples 1, 2, and 3 SOLUTION Tell whether the value of the variable is a solution of the equation. n = 2 Substitute for n and then simplify. 7 n = 13 6. 7 n = 13 7(2) 13 14 13 ≠ No, 2 is not a solution. ANSWER
  • 14. Do together: page 29 #45-50
  • 15.
  • 16. Do together: page 29 #45-50
  • 17.
  • 18.
  • 19.
  • 20. Do together: page 29 #45-50
  • 21.
  • 22.