Do Now 6/10/13 Do Now 6/10/13 Copy HW in your planner. Copy HW in your planner. – Text p. 478, #8-26 evens, & 30 Text p. 478, #8-26 evens, & 30 – Cumulative Test Chapters 1-11 Thursday Cumulative Test Chapters 1-11 Thursday – Benchmark Test next Monday Benchmark Test next Monday
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Do Now 6/10/13 Copy HW in your planner. Copy HW in your planner. –Text p. 478, #8-26 evens, & 30 –Cumulative Test Chapters 1-11 Thursday –Benchmark Test.
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Do Now 6/10/13Do Now 6/10/13
Copy HW in your planner.Copy HW in your planner.– Text p. 478, #8-26 evens, & 30 Text p. 478, #8-26 evens, & 30 – Cumulative Test Chapters 1-11 Thursday Cumulative Test Chapters 1-11 Thursday – Benchmark Test next MondayBenchmark Test next Monday
ObjectiveObjective SWBAT solve equations with SWBAT solve equations with
variables on both sidesvariables on both sides
Equation-Equation-mathematical sentence mathematical sentence with an equal signwith an equal sign
Like a scale,Like a scale,both sides must be both sides must be EQUALEQUAL in order in order to be balanced.to be balanced.
Section 11.3 “Solving Equations Section 11.3 “Solving Equations with Variables on Both Sides”with Variables on Both Sides”
How can you get the “unknown” by How can you get the “unknown” by itself?itself?
Solving Equations with Variables on Both SidesSolving Equations with Variables on Both Sides
STEP 1- Use distributive property. STEP 1- Use distributive property. STEP 2- Combine like terms.STEP 2- Combine like terms.STEP 3- Collect variables on one side of the equation.STEP 3- Collect variables on one side of the equation.STEP 4- “Undo” addition and/or subtraction.STEP 4- “Undo” addition and/or subtraction.STEP 5- “Undo” multiplication and/or division.STEP 5- “Undo” multiplication and/or division.STEP 6- Solve for the variable.STEP 6- Solve for the variable.STEP 7- Check your work.STEP 7- Check your work.
7 - 8x = 4x – 177 - 8x = 4x – 17
7 – 8x = 4x – 17 7 – 8x = 4x – 17 + 8x + 8x
1212
7 = 12x – 17 7 = 12x – 17
To get all the ‘x’ To get all the ‘x’ variables on one variables on one side “add 8x.” side “add 8x.”
To get the “12x” by itselfTo get the “12x” by itself““add 17” to both sides.add 17” to both sides.
+17+17 +17 +17
24 = 12x24 = 12xTo get the ‘x’ byTo get the ‘x’ by itself “divide by 12” itself “divide by 12” to both sides.to both sides.
+ 8x + 8x
1212 2 = x2 = x
Check Your Work!Check Your Work!
xx = 2 = 2
7 – 8(7 – 8(22) = 4() = 4(22) – 17 ) – 17
Are both sides equal?Are both sides equal?
7 – 8x =7 – 8x = 4 4xx – 17 – 17
5x = 4x + 95x = 4x + 9
- 4x - 4x
1x = 9 1x = 9
To get all the ‘x’ To get all the ‘x’ variables on one variables on one side “subtract side “subtract 4/9x.” 4/9x.”
To get the “1/9x” by itselfTo get the “1/9x” by itself““multiply 9” to both sides.multiply 9” to both sides.
9 ∙9 ∙ ∙ ∙ 9 9
1x = 811x = 81
- 4x - 4x 9 9 9 9
9 9 9 9
9 9
9x – 5 = 4x + 15 9x – 5 = 4x + 15 -4x -4x
55
5x – 5 = 15 5x – 5 = 15
To get all the ‘x’ To get all the ‘x’ variables on one variables on one side “subtract 4x.” side “subtract 4x.”
To get the “5x” by To get the “5x” by itself “add 5” to both itself “add 5” to both sides.sides.
+ 5+ 5 + 5 + 5 5x = 205x = 20
To get the ‘x’ byTo get the ‘x’ by itself “divide by 5” to itself “divide by 5” to both sides.both sides.
HomeworkHomework– Text p. 478, #8-26 evens, & 30Text p. 478, #8-26 evens, & 30– Cumulative Test Chapters 1-11 Thursday Cumulative Test Chapters 1-11 Thursday