Download Algebra 2 Unit 4

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Unit 4: Quadratics
Section 4.1: Introduction to Factoring
Factor.
1. x2 + 11x + 28
6. 16x2 - 100
2. x2 – 16
7. x2 + 3x – 54
3. 5x2 + 25x - 70
8. 49x2 - 1
4. 4x2 - 25
9. x2 + 11x + 24
5. x2 – 8x + 15
10. 18x2 + 12x
11.
12.
13.
14.
15.
Section 4.2: Factoring Trinomials with a≠1
Factor.
1. 5x2 -17x + 6
5. 4x2 + 12x + 9
2. 2x2 – 9x - 5
6. 2x2 + 9x + 10
3. 9x2 – 6x + 1
7. 3x2 + 8x - 3
4. 3x2 + 10x + 8
8. 12x2 + 10x - 12
Algebra 2
Homework
x2 – 10x + 21
2x2 + 22x + 60
25x2 - 49
x2 + 13x + 42
-7x2 + 7x + 14
9.
10.
11.
12.
16.
17.
18.
19.
20.
-4x2 +2x + 30
6x2 – 5x + 1
4x2 – 7x - 15
2x2 – 5x - 3
5x2 – 25x
x2 – 12x + 32
x2 – 7x – 60
6 x2 - 24
16x2 + 8x
13.
14.
15.
16.
21.
22.
23.
24.
25.
5x2 + 4x - 12
3x2 – 7x - 6
9x2 + 30x + 16
4x2 – 5x - 6
81x2 - 4
x2 -12x + 35
x2 - 49
-2 x2 -32x - 128
15x2 – 30x
17.
18.
19.
20.
20x2 – 11x - 3
8x2 + 22x - 21
8x2 – 6x - 27
3x2 + 16x + 21
Section 4.3: Complex Numbers
Simplify each number by using the imaginary number i.
1.
2.
Simplify each expression.
9.
10.
11.
12.
3.
4.
5.
6.
13.
14.
15.
16.
17.
18.
19.
20.
Section 4.4: Solving Quadratics by Factoring and Taking Square Roots
Solve each equation.
1. x2 + 64 = 0
6. (x + 2)2 = 49
11.
2
2
2. x – 2x – 24 = 0
7. 3x + 45 = 24x
12.
2
2
3. x – 6x + 9 = 0
8. 3x + 27 = 0
13.
2
2
4. 4x + 1 = 0
9. 7 x = 21x
14.
5. 4x2 + 6x = 0
10. x + 3 = 24x2
15.
Section 4.5: Quadratic Formula
Solve each equation using the quadratic formula.
1. x2 + 6x + 9 = 0
4. x2 – 4x – 12 = 0
2. 2x2 + 3x + 5 = 0
5. x2 + 6x – 4 = 0
3. x2 + 8x + 15 = 0
6. 2x2 + 6x + 3 = 0
7.
8.
6x2 + 9 = -55x
3x2 + 1 = -4x
x2 = -11
7x2 + 6x – 1 = 0
2x2 – 3x + 1 = 0
7. x2 – 8x + 25 = 0
8. 3x2 + 4x + 5 = 0
9. 5x2 + x + 3 = 0
16.
17.
18.
19.
20.
-4x2 = 25
x2 + 9 = -10x
(x + 5)2 = 36
4x2 = 1
6x2 – 13x = -2
10. x2 – 2x + 3 = 0
11. x2 + 6x + 5 = 0
12. x2 – 6x = -8
Unit 4 Review
Factor each expression.
1. x2 + 3x – 54
2. x2 - 9x – 36
3. 7x2 – 20x – 3
4. x2 – 6x – 16
5.
6.
7.
8.
x2 + 10x + 24
x2 – 15x + 56
5x2 + 23x – 10
4x2 + 12x + 40
Solve by using the quadratic formula.
13. x2 + 5x + 8 = 4
14. x2 + 4x + 4 = 0
9.
10.
11.
12.
x2 – 36
25x2 + 70x + 49
4x2 – 6x + 9
25x2 – 49
15. 2 x2 – 5x + 1 = 0
16. x2 + 8x – 17 = 0
Simplify each expression.
17.
18.
19.
20.
Solve each equation.
27. x2 + 16 = 0
28. 3x2 = - 9
29. x2 + 3x – 18 = 0
30. 10x2 + 2x – 46 = x – 4
31. 5x2 – 8 = 18x
21.
22.
23.
24.
32.
33.
34.
35.
36.
25.
26.
x2 + 4x = 0
4x2 – 100 = 0
2x2 + 4x = 70
x2 + 3x + 2 = 0
2x2 + x = 15
37.
38.
39.
40.
2x2 + 10x = 0
3x2 – 5x + 2 = 0
x2 = -5x – 6
13x2 – 39x = 0