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3.1 Addition Property of Equality (APE)

3.1 Addition Property of Equality (APE). Goals: To use the APE to solve equations and word problems. The Addition Property of Equality if a = b, then a + c = b + c. To solve for “x” x – 8 = 11. Goal : get “ x ” alone on one side of the equation.

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3.1 Addition Property of Equality (APE)

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  1. 3.1 Addition Property of Equality (APE) • Goals: To use the APE to solve equations and word problems

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

  3. To solve for “x”x – 8 = 11 • Goal: get “x” alone on one side of the equation. • Do the opposite of whatever is keeping “x” from being all by itself. x – 8 + 8 = 11 + 8 x = 19

  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. y - 8 = -3 +8+8 y = 5

  6. a - 5 = -2 +5+5 a = 3

  7. 19 = k + 7 -7-7 12 = k

  8. a + 1.5 = 3 -1.5-1.5 a = 1.5

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

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

  11. 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

  12. AssignmentPage 116(2-40) evenMust write problem and show adding same amount to both sides of equal, then the solution.

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