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x + 4 = -10 x – 14 = -5 y – (-9) = 4 -4w = 16 Bell Ringer
Solve the following: x + 4 = -10 x – 14 = -5 y – (-9) = 4 -4w = 16
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Step Equations
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To Solve an Equation means...
To isolate the variable it must be by it’s lonesome. (Have a coefficient of positive 1) Ex: x = 5 is solved for x. y = 2x - 1 is solved for y.
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Solving Multi-Step Equations
Ex: x + 9 = 6 5
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To Solve: Undo the operations by working backward.
Ex: x + 9 = 6 5 Ask yourself: If we knew what x was what is the first thing we would do? The second thing? Recall the order of operations as you answer these questions. dividing by 5 adding 9 To undo these steps, do the opposite operations in opposite order.
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The DO-UNDO chart Use a chart as a shortcut to answering the questions. DO UNDO ÷ ·5 Follow the steps in the ‘undo’ column to isolate the variable. Ex: x + 9 = 6 5 First subtract 9. x = 6 - 9 x = -3 Then multiply by 5. (5) x = -3(5) x = -15
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Let’s try another! Ex: d - 2 = 7 3 (3) d - 2 = 7(3) d - 2 = 21 +2 +2
d = 23 Complete the do-undo chart. DO UNDO ·3 ÷ To solve for d: First multiply by 3. Then add 2.
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Here’s a tricky one! Remember to always use the sign in front of the number. DO UNDO ÷ · -7 To solve for a: First subtract 3. Then multiply by -7. Ex: a = -2 7 3 - a = -2 - a = -5 (-7)(- a) = (-5)(-7) a = 35
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Try a few on your own. Make a do/undo chart ONLY.
5z + 16 = 51 14n - 8 = 34
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DO UNDO · -8 ÷ 14 DO UNDO · ÷ 5
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Try a few on your own. Now solve for each variable.
5z + 16 = 51 14n - 8 = 34
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DO UNDO · -8 ÷ 14 n = 3 DO UNDO · ÷ 5 z = 7
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Homework PG. 197 #22-26 even & Pg. 203 #6-28 even
Do & Undo Charts only
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Next Day Homework PG. 197 #22-26 even & Pg. 203 #6-28 even
Using the Do/Undo Charts Solve the two step equation Grading Tomorrow HW PG. 636 #18-24e Do & Undo and Show Work
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Go over homework HW PG. 197 #21-26 All
Do & Undo Charts only In class do these problems to solve, make sure students are writing the steps correctly
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Homework HW PG. 203 13,14,16-19 Show do undo, show steps and answers
5 pts each #14 is extra credit
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Go over Homework HW PG. 203 13,14,16-19 Do in class pg 203 # 21 and 29
Show do undo, show steps and answers 5 pts each #14 is extra credit Do in class pg 203 # 21 and 29
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Go over Homework HW PG. 203 13,14,16-19 Do in class pg 203 # 21 and 29
Show do undo, show steps and answers 5 pts each #14 is extra credit Do in class pg 203 # 21 and 29
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#21
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#29
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Review homework for chapter
HW PG. 221 #14-22 even - show steps and answer (no do undo) # all – show do undo, show steps, and answer Review homework for chapter
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Worksheet Sec 6.1 KEEP WORKSHEET FOR TOMORROW
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