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Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 1 of 24
Algebra 1 Review Worksheet #1:
Algebra 1 Review Worksheet #2:
Algebra 1 Review Worksheet #3: Start with #37 – 57 (odd).
A) Addition
1. 0
2. 22x
3. 9a
4. 24 5 4x x
5. 25 8 2x x
B) Multiplication
1. 26x
2. 310x
3. 210x
4. 23x
5. 5
6. 6
C) Addition and Multiplication Combined
1. 10 15x
2. 26 21x x
3. 26 8x x
4. 24 36x x
5. 2 9 18x x
6. 23 5x x
7. 5 8y
8. 2 3 10x x
9. 22 9 4x x
A) Addition
1. 210 7x x
2. 28 7x x
3. 25 2 2a a
4. 26 3 13x x
5. 23 9 2x x
B) Multiplication
1. 212x
2. 312x
3. 224x
4. 22x
5. 2
6. 5x
C) Addition and Multiplication Combined
1. 3 18x
2. 210 16x x
3. 27 8x x
4. 212 18x x
5. 2 3 10x x
6. 22 8 12x x
7. 210 22 20x x
8. 23 7 4x x
9. 26 1x x
Algebra 1 Review Worksheet #4: Start with #3 – 45 (multiples of 3).
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 2 of 24
Section 5.1 Modeling Data with Quadratic Functions Practice 5.1 Practice Part A Page 241 – 242 #1 – 9, #10 – 15, #27 – 29
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 3 of 24
Extra Practice Worksheet #5: Graphing Parabolas
Identify the vertex and the axis of symmetry of each parabola.
For each parabola, identify points corresponding to P and Q.
Answers:
7. vertex: 0,1 , axis of symmetry 0x
8. vertex: 3,0 , axis of symmetry 3x
9. vertex: 1, 2 , axis of symmetry 1x
19. 0,4P and 3,1Q
20. 2, 2P and 5, 5Q
21. 2,2P and 1, 1Q
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 4 of 24
Section 5.1 Modeling Data with Quadratic Functions Practice 5.1 Practice Part B
Page 241 – 242 #16, 19, 23, 24, 26
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 5 of 24
Ch 5.2 Properties of Parabolas Practice Section 5.2 Part A Extra Practice Worksheet #6: Graphing Parabolas (Refer to notes pages 5 and 6.) Directions: Graph the Function from Standard Form. Find what is indicated for each problem.
1. 2 1y x
1a U down
2
00
2 1
bx
a
2
0 1 1y
Vertex is 0, 1 Axis is 0x .
y-intercept : 0, 1
2. 23 6y x
3a U up
00
2 2 3
bx
a
2
3 0 6 6y
Vertex is 0, 6 Axis is 0x .
y-intercept : 0, 6
3. 2 2 1y x x
1a U up
21
2 2 1
bx
a
2
1 2 1 1 0y
Vertex is 1,0 Axis is 1x .
y-intercept : 0,1
4.
2 4 1y x x
1a U up
42
2 2 1
bx
a
2
2 4 2 1 3y
Vertex is 2, 3 Axis is 2x .
y-intercept : 0,1
x
y
x y
1 2
3 1 6 3y
2 2
3 2 6 6y
x
y
x y
1 2
1 2 1 1 4y
2 2
2 2 2 1 9y
x
y
x y
–1 2
1 4 1 1 2y
1 2
1 4 1 1 6y
x
y
x y
1 2
1 1 2y
2 2
2 1 5y
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 6 of 24
Section 5.2 Part A (continued)
5. 22 4y x x
2a U up
41
2 2 2
bx
a
2
2 1 4 1 2y
Vertex is 1, 2 Axis is 1x .
y-intercept : 0,0
x y
1 2
2 1 4 1 6y
6. 24 12 9y x x
4a U up
12 31.5
2 2 4 2
bx
a
2
4 1.5 12 1.5 9 0y
Vertex is 1.5,0 Axis is 1.5x .
y-intercept : 0,9
7. 2 2 5y x x
1a U down
21
2 2 1
bx
a
2
1 2 1 5 6y
Vertex is 1,6 Axis is 1x .
y-intercept : 0,5
8. 2 6y x x
1a U down
1 1
2 2 1 2
bx
a
2
0.5 0.5 6 6.25y
Vertex is .5,6.25 Axis is .5x .
y-intercept : 0,6
x y
1 2
4 1 12 1 9 1y
.5 2
4 .5 12 .5 9 4y
x y
3 2
3 2 3 5 2y
x y
1 2
1 1 6 4y
2 2
2 2 6 0y
x
y
x
y
x
y
x
y
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 7 of 24
Page 248 #22 – 27
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 8 of 24
Ch 5.2 Properties of Parabolas Practice Section 5.2 Part B
Page 248 #28 – 30
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 9 of 24
Ch 5.3 Transforming Parabolas Section 5.3 Part A Extra Practice Worksheet #7: Graphing Parabolas (Refer to notes pages 8 and 9.) Directions: Graph the Function from Vertex Form. Find what is indicated for each problem.
1. 2
1 2y x
2
y a x h k
1a
Vertex ,h k is 1,2
Axis is 2x
Vertex is
Axis is .
.
x
y
2. 2
3 4y x
2
y a x h k
1a
Vertex ,h k is 3, 4
Axis is 3x .
x
yx y
–2 2
2 3 4 3y
–1 2
1 3 4 0y
0 2
0 3 4 5y
3. 2
2 2 5y x
2
y a x h k
2a
Vertex ,h k is 2,5
Axis is 2x .
x y
3 2
2 3 2 5 3y
4 2
2 4 2 5 3y
x
y
4. 2
2 1y x
2
y a x h k
2a
Vertex ,h k is 1,0
Axis is 1x .
x
y
x y
0 2
2 0 1 2y
1 2
2 1 1 8y
x y
2 2
2 1 2 3y
3 2
3 1 2 6y
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 10 of 24
5. 21
2 12
y x
2
y a x h k
12
a
Vertex ,h k is 2,1
Axis is 2x .
x y
0
210 2 1 1
2y
–2
212 2 1 7
2y
x
y
6. 2
2 4y x
2
y a x h k
1a
Vertex ,h k is 2, 4
Axis is 2x .
7. 2
3 5 8y x
2
y a x h k
3a
Vertex ,h k is 5, 8
Axis is 5x .
x
y
x y
1 2
1 2 4 3y
0 2
0 2 4 0y
–1 2
1 2 4 5y
x
y
x y
–4 2
3 4 5 8 5y
–3 2
3 3 5 8 4y
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 11 of 24
Ch 5.3 Transforming Parabolas Section 5.3 Part B Extra Practice Worksheet #8: Writing Equations for Parabolas (Refer to notes page 10.)
Write the equation for the parabola in Vertex Form.
1. Vertex form: 2
y a x h k .
Vertex is 0,0 or ,h k
2
0 0y a x
2
y a x
Point on the parabola 2,1 is ,x y
Equation: 21
4y x
x
y
2. Vertex form: 2
y a x h k .
Vertex is 2,0 or ,h k
2
2 0y a x
2
2y a x
Point on the parabola 4, 4 is ,x y
Equation: 2
2y x
x
y
3. Vertex form: 2
y a x h k .
Vertex is 3, 2 or ,h k
2
3 2y a x
2
3 2y a x
Point on the parabola 2,4 is ,x y
Equation: 2
6 3 2y x
Find a.
2
1 2a
1 4
1
4
a
a
Find a.
2
2
4 4 2
4 2
4 4
1
a
a
a
a
Find a.
2
2
3 2
4 2 3 2
4 2
2 2
6
y a x
a
a
a
x
y
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 12 of 24
4. Write 2 2 5y x x in vertex form.
Find a: 1a
x-coordinate vertex: 2
12 2(1)
bx
a
y-coordinate of the vertex:
2
1 2 1 5
1 2 5 4
y
The vertex is 1,4 or ,h k .
Substitute into vertex form:
2
y a x h k
2
1 ( 1) (4)y x
Simplify 2
1 4y x
5. Write 26 10y x in vertex form.
Find a: 6a
x-coordinate vertex: 0
02 2(6)
bx
a
y-coordinate of the vertex:
2
6 0 10 10y
The vertex is 0, 10 or ,h k .
Substitute into vertex form:
2
y a x h k
2
6 0 10y x
Simplify 26 10y x
6. Write 22 8 3y x x in vertex form.
Find a: 2a
x-coordinate vertex: 8
22 2( 2)
bx
a
y-coordinate of the vertex:
2
2 2 8 2 3
8 16 3 11
y
The vertex is 2,11 or ,h k .
Substitute into vertex form:
2
y a x h k
2
2 2 11y x
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 13 of 24
Algebra 1 Review Worksheet #9: The GCF and Factoring Review this material then complete #2 – 48 (even). Check your answers. If you need more practice, try the odds.
Algebra 1 Review Worksheet #10: Review this material. KNOW ALL METHODS but use the patterns that were developed on the previous page. Complete
#2 – 30 (even). Check your answers. If you need more practice, try the odds.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 14 of 24
Algebra 1 Review Worksheet #11: Complete #3 – 81 (multiples of 3). Check your answers. If you need more practice, try the rest.
Algebra 1 Review: Square Roots and Radicals Answers for page 266 #1 – 12 below: You may ignore the absolute values in the answers.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 15 of 24
Ch 5.4 Factoring Quadratic Expressions Practice Section 5.4 Part A Do all of these exercises page 263 #1 – 18. Make sure you know what you are doing before moving on!!
Ch 5.4 Factoring Quadratic Expressions Practice Section 5.4 Part B Do all of these exercises page 263 #19 – 36. Make sure you know what you are doing before moving on!!
Factor each expression.
See below.
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 16 of 24
Ch 5.4 Factoring Quadratic Expressions Practice Section 5.4 Part C Do all of these exercises page 263 #37 – 45 and #51 – 65. Make sure you know what you are doing before moving on!!
Factor each expression.
See below.
See previous and below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 17 of 24
Ch 5.5 Solving Quadratic Equations Practice Section 5.5 Part A Make sure you are solving these using the factoring method presented in the notes. Study Example 1 on page 18 of the
notes. You need to show all steps in the solution process for credit on this assignment.
Complete page 270 #1 – 6, 13, 14, 17.
Ch 5.5 Solving Quadratic Equations Practice Section 5.5 Part B Make sure you are solving these using the square root method presented in the notes. Study Example 2 on page 19 of the
notes. You need to show all steps in the solution process for credit on this assignment.
Complete page 270 #7 – 12, 15, 16, 18, 19
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 18 of 24
Ch 5.5 Solving Quadratic Equations Practice Section 5.5 Part C Mixed Practice
Make sure you are solving these using the factoring or the square root method presented in this lesson. You need to show
all steps in the solution process for credit on this assignment.
Complete page 270 #36, 38, 39, 42, 43, 45, 46, 51
Ch 5.6 Complex Numbers Practice Section 5.6 Part A Make sure you are simplifying these using the methods presented in the notes. Study Examples 1 – 3 on page 21 of the
notes. You need to show all steps in the simplifying process for credit on this assignment.
Complete page 278 #1 – 18
See below.
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 19 of 24
Ch 5.6 Complex Numbers Practice Section 5.6 Part B Make sure you are simplifying these using the methods presented in the notes. Study Examples 4 – 7 on page 22 of the
notes. You need to show all steps in the simplifying process for credit on this assignment.
Complete Page 278 #24 – 40
Make sure you are solving these using the methods presented in the notes. Study Example 8 on page 23 of the notes. You
need to show all steps in the solving process for credit on this assignment.
Complete Page 278 #41 – 46
29. 6 + 3i
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 20 of 24
Ch 5.7 Completing the Square Practice Section 5.7
Make sure you using completing the square to solve the following equations. Other methods will not be accepted.
Follow the notes closely. You need to show all steps in the solving process for credit on this assignment.
Complete Page 283 #1 – 3, 6, 7 – 12, 15, 16, 19, 28, 31
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 21 of 24
Ch 5.8 Quadratic Formula
Make sure you using the quadratic formula to solve the following equations. Other methods will not be accepted. Follow
the notes closely. You need to show all steps in the solving process for credit on this assignment.
Complete Page 293 #1, 4, 7, 11, 14, 18, 20
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 22 of 24
Now Complete Page 293 #22, 25, 28, 34 – 39
See below.
See below.
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 23 of 24
Ch 5 Review Page 299 – 301 #6 – 11, 13 – 23, 24 – 38, 39 – 50, 55 – 58, 61 – 72
Ch 5 Homework Answers Alg 2 L1 Key Name _______________________
S. Stirling Page 24 of 24