Chapter section 8.1.1 Topic: quadratic equations Vocabulary:
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Chapter section 8.1.1 Topic: quadratic equations Vocabulary: • Generic rectangle – is a distribution box that is filled in. • Neg times Neg is Pos Pos times Neg is Neg
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Chapter section 8.1.1 Topic: quadratic equations Vocabulary:. Generic rectangle – is a distribution box that is filled in. Neg times Neg is Pos Pos times Neg is Neg. Example One. Instructions: Simplify. Distribution Boxes. a. -3. 2a. 2a². -6a. +6. +6a. -18. Example Two. - PowerPoint PPT Presentation
Transcript of Chapter section 8.1.1 Topic: quadratic equations Vocabulary:
Chapter section 8.1.1Topic: quadratic equations
Vocabulary:
• Generic rectangle – is a distribution box that is filled in.
• Neg times Neg is PosPos times Neg is Neg
Distribution Boxes
)3)(62( aa
2aa -3
2a²18662 2 aaa
Instructions: Simplify
+6-6a
+6a -18182 2 a
Example One
Instructions: Solve the generic rectangle puzzle
+5
Example Two
+a²
+6a +30
+5a
+a+a
+6
+3+a²
+a +3
+3a
+a+a
+1
+7+a²
+4a +28
+7a
+a+a
+4
+9+a²
-2a -18
+9a
+a+a
-2
Instructions: Solve the generic rectangle puzzle
+3
Classwork One
+a²
+2a +6
+3a
+a+a
+2
+7+a²
+9a +63
+7a
+a+a
+9
+1+a²
+5a +5
+a
+a+a
+5
+4+a²
-6a -24
+4a
+a+a
-6
Instructions: Solve the generic rectangle puzzle
-6
Example Three
-a²
+6a -36
+6a
+a-a
+6
-4+a²
-2a +8
-4a
+a+a
-2
+7+a²
+4a +28
+7a
+a+a
+4
+5-a²
-2a -10
-5a
+a-a
-2
Instructions: Solve the generic rectangle puzzle
+4
Classwork Two.
+a²
+8a +32
+4a
+a+a
+8
-6-a²
-3a +18
+6a
+a-a
-3
-3+a²
+3a -9
-3a
+a+a
+3
-2+a²
-9a -18
+2a
-a-a
+9
Instructions: Solve the generic rectangle puzzle
+4
Example Four
+2a²
+7a +28
+8a
+a+2a
+7
+3+2a²
+4a +6
+3a
+2a+a
+2
+5+3a²
+7a +35
+15a
+a+3a
+7
-3-4a²
-12a +18
+6a
+2a-2a
-6
Instructions: Solve the generic rectangle puzzle
+5
Classwork Three
+3a²
+4a +20
+15a
+a+3a
+4
+4+6a²
+8a +16
+12a
+2a+3a
+4
+8+3a²
+6a +16
+8a
+3a+a
+2
+39a²
+12a +12
+9a
+3a+3a
+4
Instructions: Solve the generic rectangle puzzle
+6
Example Five
-2a²
+7a -42
+12a
-a+2a
-7
-4-2a²
+6a +12
-4a
-2a+a
-3
+6-6a²
+10a -30
+18a
-2a+3a
-5
+8-6a²
-4a +16
+24a
-2a+3a
+2
Instructions: Solve the generic rectangle puzzle
+1
Classwork Four
-2a²
+3a -3
+2a
-a+2a
-3
-5-2a²
+10a +25
-5a
-2a+a
-5
+1-6a²
+2a -1
+3a
-2a+3a
-1
+1-3a²
-4a +4
+3a
-a+3a
+4
Instructions: Test the generic rectangle puzzle
Example Six
-2a²
+2a -2
+2a
(-2)(a²)(-2) =
-2a²
+10a +25
-5a
4a²
(+2)(a)(+2)(a) = 4a²
(-2)(a²)(+25) = -50a²
(+10)(a)(-5)(a) = -50a²
Instructions: Test the generic rectangle puzzle
Classwork Five
+3a²
+4a +20
+15a+60a²
+6a²
+6a +12
+12a+72a²
+3a²
+6a +18
+9a+54a²
9a²
+12a +12
+9a+108a²
Chapter section 8.1.1Topic: quadratic equations
Vocabulary:
0)2)(1( aa
So either a+1 is zero or a+2 is zero
or01a 02a
-1 +6
Instructions: Factor the quadratic.Example One
+6-1
-1 x 61 - 61 x -66 - 1
test
__)__)((652 aaaa 5 6
)6)(1( aa
Instructions: Factor the quadratic.Classwork Four
__)__)((872 aaaa
__)__)((4062 aaaa
__)__)((1582 aaaa
__)__)((1682 aaaa
1 and -8
10 and -4
-3 and -5
-4 and -4
Example Two:• Instructions: Solve
Has two answers:
or
01a 06a
0)6)(1( aa
If (a-1) is zero If (a+6) is zero
01a+1 +1
1a
06a-6 -6
6a
+2+2 -8-8
Instructions: Solve the quadratic.Example Three
2 x -88 - 2-2 x 82 - 8
test
__)__)((1662 aaaa 6 16
0)8)(2( aa
02a 08a
2a 8a-2 -2 +8 +8
Instructions: Solve the quadratic.Classwork Four
018122 aa
01452 aa
01872 aa
01662 aa
-3 and -6
-2 and 7
2 and -9
2 and -8
