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OTCQ

OTCQ. evaluate expression if x =2, a = 5 and k = 3. k(xa + ax) = ?. AIM 3-2 How do we solve equations by using addition and subtraction? NYAA 6.

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OTCQ

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  1. OTCQ evaluate expression if x =2, a = 5 and k = 3. k(xa + ax) = ?

  2. AIM3-2 How do we solve equations by using addition and subtraction?NYAA 6

  3. New York StandardsA.A.6 Analyze and solve verbal problems whose solution requires solving a linear equation in one variable or linear inequality in one variable

  4. Objectives • SWBAT to identify operations and their opposites. • SWBAT to apply opposite operations in reverse PEMDAS order. • SWBAT to isolate a variable.

  5. 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!

  6. 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

  7. 1) Solve r + 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 - 16 -16 r = -23 -23 + 16 = -7

  8. 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

  9. 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

  10. 3) Solve 8 = m - 3 • m = 5 • m = 11 • m = 24 • m = 8/3

  11. 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

  12. 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!

  13. 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

  14. 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

  15. Solve -y – (-3) = 7 • y = 10 • y = 4 • y = -10 • y = -4

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