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Understanding the Addition and Multiplication Properties of Equality in Equations

This chapter explores essential algebraic concepts, specifically the Addition and Multiplication Properties of Equality. It demonstrates how to solve equations by adding or multiplying the same number to both sides of an equation. Through practical examples, such as calculating rental costs and weights, readers will learn to set up equations and find unknown values. Clear steps are provided for solving and presenting work, emphasizing the importance of showing calculations and highlighting final answers.

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Understanding the Addition and Multiplication Properties of Equality in Equations

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  1. Chapter 3 All About Equations!

  2. 3.1 and 3.2 Addition and Multiplication Property of Equality

  3. The Addition Property of Equalityif a = b, then a + c = b + c

  4. - 7 - 7 x = -5 Show your work exactly like this: x + 7 = 2 Write the problem: Add same number to both sides of “=“: Write answer with box around it

  5. The weekly rent on an apartment was increased by $82. The new rental cost is $675. What is the previous rent? Let x = the previous rent. x + 82 = 675 - 82 - 82 x = 593

  6. A number is increased by 36 is 15. Find the number. Let x = the original number. x + 36 = 15 - 36 - 36 x = -21

  7. A number decreased by 83 is 46. Find the number. Let x = the original number. x - 83 = 46 +83 +83 x = 129

  8. The Multiplication Property of Equality For all rational numbers a, b , and c Ifa = b, thenac = bc

  9. Solve: 5x = 30 Show your work exactly like this tonight

  10. Solve: -12x = -8

  11. To solve an equation like: Multiply both sides of the equation by the reciprocal of the coefficient

  12. Solve:

  13. Solve:

  14. Kayla bought 12 identical bowling balls. They weighed a total of 90 pounds. How much did each ball weigh? Let b= the weight of one ball

  15. Penny bought a 12-bottle case of juice on sale for $6.72. What was the price of each bottle? Let j= the cost of one juice bottle

  16. Assignment:Workbook Page 15 (1-20) all*Do on a separate sheet of paper*Title your paper*Write the problem*Show all work*Highlight answers

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