Solving Equations with Variables on Both Sides - Day 1

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Learn how to solve equations with variables on both sides of the equal sign in this educational content. Practice solving equations step by step and enhance your math skills. Get ready to master algebraic equations with variables on both sides!

  • Equations
  • Variables
  • Solving
  • Mathematics
  • Education

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  1. Section 2.4 solving equations with variables on both sides of the equal sign. Day 1

  2. What is the solution of the following? 4 (x + 9) + 5 = -3 4x + 36 + 5 = -3 4x + 41 = -3 - 41 -41 4x = -44 4x + 36 + 5 = -3 x = -11

  3. What is the solution of the following? 8x = 3x + 15 8x = 3x + 15 -3x -3x 5x = 15 5 5 x = 3

  4. What is the solution of the following? 11x + 16 = 2x + 7 11x + 16 = 2x + 7 -2x -2x 9x + 16 = 7 9x + 16 = 7 - 16 - 16 9x = -9 9 9 _______ ________ x = -1

  5. What is the solution of the following? 7x 20 = 36x + 9 7x 20 = 36x + 9 -36x -36x -29x - 20 = 9 + 20 + 20 -29 x = 29 x = -1

  6. It takes a graphic designer 1.5 h to make one page of a web site. Using new It takes a graphic designer 1.5 h to make one page of a web site. Using new software, the designer could complete each page in 1.25 h, but it takes 8 h to learn It takes a graphic designer 1.5 h to make one page of a web site. Using new software, the designer could complete each page in 1.25 h, but it takes 8 h to learn the new software. How many web pages would the designer have to make in order to save time using the new software? order to save time using the new software? Know Need Plan Know Need Know Need It takes a graphic designer 1.5 h to make one page of a web site. Using new software, the designer could complete each page in 1.25 h, but it takes 8 h to learn the new software. How many web pages would the designer have to make in the new software. How many web pages would the designer have to make in order to save time using the new software? order to save time using the new software? order to save time using the new software? It takes a graphic designer 1.5 h to make one page of a web site. Using new software, the designer could complete each page in 1.25 h, but it takes 8 h to learn software, the designer could complete each page in 1.25 h, but it takes 8 h to learn the new software. How many web pages would the designer have to make in the new software. How many web pages would the designer have to make in Plan Plan The number of pages the designer needs to make for the software to save time. Write and solve an equation. 1.5 h to make one page 1.25 hours per page with new software 8 hours to learn software Let p = the number of pages the designer needs to make. 1.25 p 8 + -1.25 p The designer must make 33 pages or more in order to save time using the new software. = 1.5p -1.25 p + = Design time with new software Time to learn software. Current design time. = .25p 8 .25 .25 Book page 105: 10-20, 44, 56 32 = p

  7. Assignment: (section 2.4) Book page 105: 10-20, 44, 56

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