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Objective The student will be able to:

Objective The student will be able to:. solve equations using addition and subtraction. SOL: A.1, A.3. Designed by Skip Tyler, Varina High School. r + 16. =. -7. 1) Solve r + 16 = -7. Think of this equation as a balance scale.

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Objective The student will be able to:

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  1. ObjectiveThe student will be able to: solve equations using addition and subtraction. SOL: A.1, A.3 Designed by Skip Tyler, Varina High School

  2. r + 16 = -7 1) Solve r + 16 = -7 Think of this equation as a balance scale. Whatever you do to one side has to be done to the other to keep it balanced!

  3. 1) Solve r + 16 = -7 To solve, you must get the variable by itself. What number is on the same side as r? 16 To get r by itself, we must undo the “add 16”. What is the opposite of addition? Subtract 16

  4. 1) Solve r + 16 = -7 - 16 -16 r = -23 -23 + 16 = -7 • Draw “the river” to separate the equation into 2 sides • Subtract 16 from both sides • Simplify vertically • Check your answer by substituting your answer back into the problem

  5. Answer Now 2) Solve x + 2 = -3Get the variable by itself. What is your first step? • Add 2 to both sides • Subtract 2 from both sides • Add 3 to both sides • Subtract 3 from both sides

  6. 2) Solve x + 2 = -3 - 2 - 2 x = -5 -5 + 2 = -3 • Draw “the river” to separate the equation into 2 sides • Subtract 2 from both sides • Simplify vertically • Check your answer by substituting your answer back into the problem On homework and tests, be sure to check your work!! There is no reason why you should miss a problem!

  7. Answer Now 3) Solve 8 = m - 3 • m = 5 • m = 11 • m = 24 • m = 8/3

  8. 3) Solve 8 = m - 3 + 3 + 3 11= m 8 = 11 - 3 • Draw “the river” to separate the equation into 2 sides • Add 3 to both sides • Simplify vertically • Check your answer by substituting your answer back into the problem

  9. When solving equations, we want to eliminate double signs. y + (-3) = 8 is rewritten as y – 3 = 8 p – (-5) = 6 is rewritten as p + 5 = 6 As a general rule, replace “+ (- )” with “–” and “– (- )” with “+”. This will make things less confusing in the future!

  10. 4) Solve y + (-3) = 7 y – 3 = 7 + 3 +3 y = 10 10 + (-3) = 7 • Draw “the river” to separate the equation into 2 sides • Eliminate the double sign • Add 3 to both sides • Simplify vertically • Check your answer by substituting your answer back into the problem

  11. 5) Solve. -x - (-2) = 1 • Draw “the river” to separate the equation into 2 sides • Eliminate the double sign • Subtract 2 from both sides • Simplify vertically • We haven’t gotten x by itself. If we read this aloud, it is “the opposite of x equals -1”. What would x be equal? • Check your answer -x + 2 = 1 - 2 - 2 -x = -1 x = 1 -(1) + 2 = 1

  12. Answer Now Solve -y – (-3) = 7 • y = 10 • y = 4 • y = -10 • y = -4

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