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Do Now 10/1/09 Copy HW in your planner. Copy HW in your planner. –Text page 137-139, #32-62 even Be ready to finish the Chapter 2 Test. Get your calculators from the back of the room. You will have 3 minutes to check your test with a calculator. Be ready to finish the Chapter 2 Test. Get your calculators from the back of the room. You will have 3 minutes to check your test with a calculator.
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In your journal, answer complete the following. Draw a picture of what an equation looks like to you. Then use your picture to solve an equation of your own. In your journal, answer complete the following. Draw a picture of what an equation looks like to you. Then use your picture to solve an equation of your own.
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Objective SWBAT solve one-step equations using algebra SWBAT solve one-step equations using algebra
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Equation- mathematical sentence with an equal sign mathematical sentence with an equal sign Like a scale, both sides must be balanced
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Solving an Equation How can you get the “unknown” by itself? How can you get the “unknown” by itself? “Undo” the operation by using the INVERSE (opposite) operation to both sides of the equation. Addition and Subtraction Properties of Equality Adding or subtracting both sides of the equation by the same nonzero number produces an EQUIVALENT EQUATION.
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Solving Addition Equations… m + 24 = -18 - 24 m = -42 m = -42 Isolate the variable! Get ‘m’ by itself. To get the ‘m’ by itself get rid of “adding 24.” Do the opposite. “Subtract 24.” Whatever you do to one side of the equation you must do the other side.
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Check Your Work! m + 24 = -18 m = -42 (-42) + 24 = -18 Are both sides equal?
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Try It Out 1). x + 7 = 4 2). 7 = 9 + h 3). 13 = x + 7 4). f – 0.4 = 3.1 1). (-3) + 7 = 4 1). (-3) + 7 = 4 2). 7 = 9 +(-2) 2). 7 = 9 +(-2) 3). 13 = (6) + 7 3). 13 = (6) + 7 4).(3.5) – 0.4 = 3.1 4).(3.5) – 0.4 = 3.1
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Solving Subtraction Equations… -13 = y - 15 -13 = y - 15 +15 +15 2 = y 2 = y Isolate the variable! Get ‘y’ by itself. To get the ‘y’ by itself get rid of “subtracting 15.” Do the opposite. “Add 15.” Whatever you do to one side of the equation you must do the other side.
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Check Your Work! -13 = y - 15 2 = y -13 = (2) - 15 Are both sides equal?
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Try It Out 1). t - 7 = -3 2). 6 = w - 3 3). ¾ = r – 2½ 4). -1.5 = p - 7 1). (4) - 7 = -3 1). (4) - 7 = -3 2). 6 = (9) - 3 2). 6 = (9) - 3 3). ¾ = (3¼)– 2½ 3). ¾ = (3¼)– 2½ 4). -1.5 = (5.5) - 7 4). -1.5 = (5.5) - 7
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Solving an Equation How can you get the “unknown” by itself? How can you get the “unknown” by itself? “Undo” the operation by using the INVERSE (opposite) operation to both sides of the equation. Multiplication and Division Properties of Equality Multiplying or dividing both sides of the equation by the same nonzero number produces an EQUIVALENT EQUATION.
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Solving a Multiplication Equation -2y = 28 -2y = 28 -2 -2 -2 -2 y = -14 “Undo” multiplication by dividing both sides of the equation
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Check Your Work! -2y = 28 y = -14 -2(-14) = 28 Are both sides equal?
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Try It Out 1). -7t = 63 2). -144 = 12d 3). 10x = 5 4). -1.5g = -7 1). -7(-9) = 63 1). -7(-9) = 63 2). -144 = 12(-12) 2). -144 = 12(-12) 3). 10(1/2) = 5 3). 10(1/2) = 5 4). -1.5(4.67)= -7 4). -1.5(4.67)= -7
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Solving a Division Equation j = -7 5 j = -7 5 5· · 5 j = -35 “Undo” division by multiplying both sides of the equation
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Check Your Work! j = -7 5 j = -7 5 j = -35 Are both sides equal? -35 = -7 5 -35 = -7 5
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Try It Out 1). -16 ÷ 8 = -2 2). 32 = 8 4 3). 9 = 45 5 4). -14/7 = -2 4). -14/7 = -2 1). r ÷ 8 = -2 1). r ÷ 8 = -2 2). v = 8 4 2). v = 8 4 3). 9 = a 5 3). 9 = a 5 4). e/-7= -2 4). e/-7= -2
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Find the width of the rectangle. Area = 38 cm² x 2 Area = 27 m² z 9 x = 19 z = 3
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Homework Text page 137-139, #32-62 even
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