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One Step Equations Review Lesson

This lesson covers solving one-step equations, properties of equality, and balancing equations. It includes examples with addition, subtraction, multiplication, and division. Students will learn order of operations and work on homework assignments.

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One Step Equations Review Lesson

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  1. Agenda October 15 • Warm Up • Go Over Homework • Solving One Step Equations Review • Homework

  2. Warm Up To simplify an expression using the order of operations, complete the following: • Simplify brackets or _____________ first. • Simplify any _____ _____ or _________ next. • Complete any _________ or __________ whichever comes first left to right. • Complete any addition or ___________ whichever comes first ____ to _____. • Simplify:

  3. Go Over Homework • Pizzazz page 10 She|was|practicing|for|a|moon|shot • Pizzazz page 20 When|your|nose|runs|and|your|feet|smell

  4. Solving one step equations • When solving an equation, the goal is to get the variable by itself on one side of the equation. • Addition and subtraction are inverse operations. (opposites) • Multiplication and division are inverse operations. (opposites)

  5. Properties of Equality 1. Addition: If a = b then a + c = b + c. 2. Subtraction: If a = b then a – c = b– c. 3. Multiplication: If a = b then ac = bc. 4. Division: If a = b and c ≠ 0 then a/c = b/c

  6. Solving Equations Requires BALANCE! Your equals sign will be the fulcrum (balancing point)! Just remember, whatever you do to one side must be done to the other side to maintain balance……..

  7. Addition / Subtraction • If the number to move is positive, subtract it from both sides of the equation. • If the number to move is negative, add its positive value to both sides of the equation.

  8. Solving with Addition Solve the following equation for x: x – 4 = 9 + 4+4 x = 13 We are able to get the x by itself by ADDING 4 to each side! (you WILL show this step in your homework!!)

  9. Solving with Subtraction Solve the following equation for p: p + 7 = 21 - 7- 7 p = 14 We are able to get the p by itself by SUBTRACTING 7 from each side! (you WILL show this step in your homework!!)

  10. Solving with Division Solve the following equation for m: 3 m = 18 • Divide both sides by 3 and simplify -- your work should look like this : • 3 m = 18 3 3 • m = 6 (you WILL show this step in your homework!!)

  11. Solving with Multiplication Problems involving fractions are solved using multiplication, and the knowledge of multiplicative inverses (reciprocals)

  12. Example : Solve the following equation for n: 2n = 3 5 7 • Multiply each side by the inverse of 25 : • 5•2n = 3•5 2 5 7 2 • n = 15 14

  13. Your Turn: Solve the following equations with one step (show your work!!): • r + 4 = 17 • g - 15 = -11 • 13 + p = - 9 • -5b = 85 • - 7v = - 91 • w = -2 3 9

  14. Answers: • r = 13 • g = 4 • p = - 22 • b = - 17 • v = 13 • w = - 2/3

  15. Homework: Finish one step equation riddle worksheets: (Pizzazz pages 28, 30, 31, 33) You MUST show your work to get credit on this assignment!!!

  16. Worktext page 22 • Worktext page 28 • 23,29

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