Post on 29-Mar-2015
transcript
# 2# 2# 2# 2# 1# 1# 1# 1 Solve.Solve.
2x 13x 5
2
2x 9 3 0
# 3# 3# 3# 3
24x 36 24x
Solve.
# 1# 1# 1# 1
2x 13x 5 Solve.
2x 13x 51694
1694
1894
13 189
x2 2
13 189
x2 2
13 189x
2
213
x2
# 2# 2# 2# 2 Solve.
24x 36 24x
24x 24x 36 0
24 x 6x 9 0
4 x 3 x 3 0 3
# 3# 3# 3# 3
22x 9 3 Solve.
2x 9 3
2x 9 3
9 3x
2
By completing the square
Complete the square: By Quadratic formula
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
#11 #12
#13 #14
#15 #16
Bonus1
Bonus2
1)
5)
8)
4)3)
7)
10)
2)
6)
11) 12)
14)
13)
15)2(x 7) 121
2x 24x 3 0
2x 8x 10 0
23x 12x 16 y
26x 13x 5 0 23x 7x 14 0 2x 17x x 54
22x 5x 3 0
2x 5x
Chapter 9 Study Guide
22x 8x 18 2x 5x 1 0
4
Find the vertex of the function below
By Factoring
2x 9x 19 0
2x 16x
What would be the value for “b” in the quadratic formula for:
23x 5x 3x 7
Bonus #1 Bonus #2What number do you add to “complete the square.”
Write the quadratic equation ( in standard form) that has the roots:
x 3 6 and x 3 6 2 3x x
7
24x 20x 25 0
Solve each by the given technique:
Complete the square:
By Quadratic formula By Factoring
Solve using any method:
Complete the square:
9)
16)
By Factoring
22x 8x 154 0
What number do you need to add to “complete the square.”
What number do you need to add to “complete the square.”
By completing the square
Complete the square: By Quadratic formula
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
#11 #12
#13 #14
#15 #16
Bonus1
Bonus2
1)
5)
8)
4)3)
7)
10)
2)
6)
11) 12)
14)
13)
15)2(x 7) 121
2x 24x 3 0
2x 8x 10 0
23x 12x 16 y
26x 13x 5 0 23x 7x 14 0 2x 17x x 54
22x 5x 3 0
2x 5x
Chapter 9 Study Guide
22x 8x 18 2x 5x 1 0
4
Find the vertex of the function below
By Factoring
2x 9x 19 0
2x 16x
What would be the value for “b” in the quadratic formula for:
23x 5x 3x 7
Bonus #1 Bonus #2What number do you add to “complete the square.”
Write the quadratic equation ( in standard form) that has the roots:
x 3 6 and x 3 6 2 3x x
7
24x 20x 25 0
Solve each by the given technique:
Complete the square:
By Quadratic formula By Factoring
Solve using any method:
Complete the square:
9)
16)
By Factoring
22x 8x 154 0
What number do you need to add to “complete the square.”
What number do you need to add to “complete the square.”
64254
2 2,4
4 26
1, 3
2
12 147
5 1,
2 3
5 292
18, 4
8 10
2 13
52
9 52
11, 7
#10#10
29
x2
9 5x
2 2
Homework
2x 9x 19 0Complete the square:
2x 9x 19814
814
76
4
54
9 5x
2
#11#11
2( ) ( ) 4( )( )x
2( )
a
b
c
3
7
14 7 7 3 14
3
Homework
23x 7x 14 0
By Quadratic formula
7 119x
6
#12#12
1 5
x ,3 2
1 5
x ,3 2
Homework
26x 13x 5 0
By Factoring
13
30
2 15
26x
515x
2x
5
3x 1
2x
3x 1 2x 5 0
Bonus #1Bonus #1
Homework
x 3 6 and x 3 6
Write the quadratic equation ( in standard form) that has the roots:
x 3 6
x 3 6
2
x 3 6
2x 6x 9 6
2x 6x 3 0 2x 6x 3 0
Bonus #2Bonus #2
Homework
What number do you add to “complete the square.”
2 3x x
7
23
x14
9
196
Test ReviewTest Review
Chapter 9Chapter 9
Find the x-intercepts of the function below:
A
B
C
D
5 39
5 39
2y x 10x 14
10 86
no x-intercepts
Ch. 9 ReviewCh. 9 Review#1#1#1#1
E
5 11
Ch. 9 ReviewCh. 9 Review#2#2#2#2
Ch. 9 ReviewCh. 9 Review#3#3#3#3
Ch. 9 ReviewCh. 9 Review#4#4#4#4
Which is one solution to the equation below?
A
B
C
D
x 4 22 x 8 70
2x 8x 6 0
x 4 22 x 8 70
Ch. 9 ReviewCh. 9 Review#5#5#5#5
Ch. 9 ReviewCh. 9 Review#6#6#6#6
Which function matches the graph?
NL
2y x 6x 9
2y x 9
2y x 6x
2y x 6x 9
Ch. 9 ReviewCh. 9 Review#7#7#7#7
What is the minimum value of the function below?
NL
0
4
3
2
Ch. 9 ReviewCh. 9 Review
#8#8#8#8
2f x x 6x 8
Ch. 9 ReviewCh. 9 Review#9#9#9#9
5 25 56x
4
Which quadratic equation has the solutions
A
B
C
D
22x 5x 6 0
25x 2x 7 0 22x 5x 7 0
27x 2x 5 0
#10#10#10#10 Ch. 9 ReviewCh. 9 Review
Ch. 9 ReviewCh. 9 Review#11#11#11#11
Which is the y-value for the vertex of the function below?
A
B
C
D
42
10
2y x 8x 6
52
42E
4
Ch. 9 ReviewCh. 9 Review#12#12#12#12
4 16 36x
2
Find the quadratic formula below that has no real solution.
A
B
C
D
2 4 140x
2
5 25 20x
2
6 36 36x
2
Ch. 9 ReviewCh. 9 Review#13#13#13#13
2x 2 8 A
B
C
D 2x 2 10 2x 4 10
2x 4 22
Ch. 9 ReviewCh. 9 Review
E NL
#14#14#14#14
Test ReviewTest Review
Chapter 9Chapter 9
Lets Grade it!!!
Find the x-intercepts of the function below:
A
B
C
D
5 39
5 39
2y x 10x 14
10 86
no x-intercepts
Ch. 9 ReviewCh. 9 Review#1#1#1#1
E
5 11
Ch. 9 ReviewCh. 9 Review#2#2#2#2
Ch. 9 ReviewCh. 9 Review#3#3#3#3
Ch. 9 ReviewCh. 9 Review#4#4#4#4
Which is one solution to the equation below?
A
B
C
D
x 4 22 x 8 70
2x 8x 6 0
x 4 22 x 8 70
Ch. 9 ReviewCh. 9 Review#5#5#5#5
Ch. 9 ReviewCh. 9 Review#6#6#6#6
Which function matches the graph?
NL
2y x 6x 9
2y x 9
2y x 6x
2y x 6x 9
Ch. 9 ReviewCh. 9 Review#7#7#7#7
What is the minimum value of the function below?
NL
0
4
3
2
Ch. 9 ReviewCh. 9 Review
#8#8#8#8
2f x x 6x 8
Ch. 9 ReviewCh. 9 Review#9#9#9#9
5 25 56x
4
Which quadratic equation has the solutions
A
B
C
D
22x 5x 6 0
25x 2x 7 0 22x 5x 7 0
27x 2x 5 0
#10#10#10#10 Ch. 9 ReviewCh. 9 Review
Which is the y-value for the vertex of the function below?
A
B
C
D
42
10
2y x 8x 6
52
42
Ch. 9 ReviewCh. 9 Review#11#11#11#11
E
4
Ch. 9 ReviewCh. 9 Review#12#12#12#12
4 16 36x
2
Find the quadratic formula below that has no real solution.
A
B
C
D
2 4 140x
2
5 25 20x
2
6 36 36x
2
Ch. 9 ReviewCh. 9 Review#13#13#13#13
2x 2 8 A
B
C
D 2x 2 10 2x 4 10
2x 4 22
Ch. 9 ReviewCh. 9 Review
E NL
#14#14#14#14
Homework
2x 10x 16 0#1#1#1#1
2x 8x 48 0#2#2#2#2
22x 7x 4 0#3#3#3#3
Solve each equation by ALL 3 methods:
By Factoring, Completing the Square and Quadratic Formula.
By completing the square
Complete the square: By Quadratic formula
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
#11 #12
#13 #14
#15 #16
Bonus1
Bonus2
1)
5)
8)
4)3)
7)
10)
2)
6)
11) 12)
14)
13)
15)2(x 7) 121
2x 24x 3 0
2x 8x 10 0
23x 12x 16 y
26x 13x 5 0 23x 7x 14 0 2x 17x x 54
22x 5x 3 0
2x 5x
Chapter 9 Study Guide
22x 8x 18 2x 5x 1 0
4
Find the vertex of the function below
By Factoring
2x 9x 19 0
2x 16x
What would be the value for “b” in the quadratic formula for:
23x 5x 3x 7
Bonus #1 Bonus #2What number do you add to “complete the square.”
Write the quadratic equation ( in standard form) that has the roots:
x 3 6 and x 3 6 2 3x x
7
24x 20x 25 0
Solve each by the given technique:
Complete the square:
By Quadratic formula By Factoring
Solve using any method:
Complete the square:
9)
16)
By Factoring
22x 8x 154 0
What number do you need to add to “complete the square.”
What number do you need to add to “complete the square.”
By completing the square
Complete the square: By Quadratic formula
#1 #2
#3 #4
#5 #6
#7 #8
#9 #10
#11 #12
#13 #14
#15 #16
Bonus1
Bonus2
1)
5)
8)
4)3)
7)
10)
2)
6)
11) 12)
14)
13)
15)2(x 7) 121
2x 24x 3 0
2x 8x 10 0
23x 12x 16 y
26x 13x 5 0 23x 7x 14 0 2x 17x x 54
22x 5x 3 0
2x 5x
Chapter 9 Study Guide
22x 8x 18 2x 5x 1 0
4
Find the vertex of the function below
By Factoring
2x 9x 19 0
2x 16x
What would be the value for “b” in the quadratic formula for:
23x 5x 3x 7
Bonus #1 Bonus #2What number do you add to “complete the square.”
Write the quadratic equation ( in standard form) that has the roots:
x 3 6 and x 3 6 2 3x x
7
24x 20x 25 0
Solve each by the given technique:
Complete the square:
By Quadratic formula By Factoring
Solve using any method:
Complete the square:
9)
16)
By Factoring
22x 8x 154 0
What number do you need to add to “complete the square.”
What number do you need to add to “complete the square.”
64254
2 2,4
4 26
1, 3
2
12 147
5 1,
2 3
5 292
18, 4
8 10
2 13
52
9 52
11, 7