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Guns n' Roses - November rain
Teach me how to factor
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Ingredients 2 1/2 cups all-purpose flour 1 teaspoon baking soda 1 teaspoon cocoa 1 1/2 cups granulated sugar 2 eggs 1 1/2 cups canola oil 1 teaspoon vinegar 1 (1-ounce) bottle red food coloring 1 teaspoon vanilla 1 cup buttermilk
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Red Velvet Cake
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Unit 5 – Algebra in Context
Word Wall
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Perfect Squares …
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Solving Quadratic Equations
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Solving Quadratic Equations
1. Write equation in standard form. ax2 + bx + c = 0 (a, b, c are real numbers and a0) 2. Factor polynomial completely. 3. Set each factor equal to zero, using ‘Zero Product Property’. If xy = 0, then x=0 or y=0 (or both) 4. Solve resulting equations.
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Solve: x2 = –7x + 18 x – 2 = 0 , x + 9 = 0 +2 +2 –9 –9 x = 2 x = –9 A
Step 1: Let each factor equal 0 x – 2 = 0 , x + 9 = 0 – –9 Step 2: Solve each equation x = 2 x = –9
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Solve: x2 – 25 = 0 (x + 5)(x – 5) = 0 x + 5 = 0 x – 5 = 0 x = –5 x = 5
Step 1: Factor completely Step 2: Let each factor equal 0 x + 5 = 0 , x – 5 = 0 –5 –5 Step 3: Solve each equation x = –5 x = 5
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Solve: x2 = 3x x2 – 3x = 0 x(x – 3) = 0 x = 0 , x – 3 = 0 +3 +3 x = 0
G Solve: x2 = 3x Step 1: Write in standard form. Move 12x to left side of the equation. Change the sign. x2 – 3x = 0 x(x – 3) = 0 Step 2: Factor completely Step 3: Let each factor equal 0 x = 0 , x – 3 = 0 Step 4: Solve each equation x = 0 x = 3
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Solving quadratic equations using Square Root Property
a is a positive number
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Use square root property
H Solve: x2 = 9 Use square root property This means x = –3 and x = 3
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Use square root property
Solve: x2 = 12 I Use square root property
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Use square root property
J Solve the equation Use square root property
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Use square root property
K Solve the equation Divide both sides by 6 Use square root property
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Use square root property
L Solve the equation 3x2 – 33 = 0 Add 33 to both sides 3x = 33 Divide both sides by 3 x2 = 11 Use square root property
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