ch 5 homework answers alg 2 l1 key name algebra 1 ... 5 homework answers alg 2 l1 key name _____ s....

Ch 5 Homework Answers Alg 2 L1 Key Name _______________________

S. Stirling 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).


S. Stirling 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.


S. Stirling 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


S. Stirling 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.


S. Stirling 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


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


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


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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


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


S. Stirling of 24

Page 248 #22 – 27

See below.


S. Stirling of 24

Ch 5.2 Properties of Parabolas Practice Section 5.2 Part B

Page 248 #28 – 30


S. Stirling 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


S. Stirling 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


S. Stirling 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


S. Stirling 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


02 2(6)

bx

a


2

6 0 10 10y

The vertex is 0, 10 or ,h k .


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


22 2( 2)

bx

a


2

2 2 8 2 3

8 16 3 11

y

The vertex is 2,11 or ,h k .


2

y a x h k

2

2 2 11y x


S. Stirling 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.


S. Stirling 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.


S. Stirling 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.


S. Stirling 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.


S. Stirling 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


S. Stirling 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.


S. Stirling 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.


S. Stirling 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.


S. Stirling 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.


S. Stirling of 24

Now Complete Page 293 #22, 25, 28, 34 – 39

See below.

See below.


S. Stirling of 24

Ch 5 Review Page 299 – 301 #6 – 11, 13 – 23, 24 – 38, 39 – 50, 55 – 58, 61 – 72


S. Stirling of 24

ch 5 homework answers alg 2 l1 key name algebra 1 ... 5 homework answers alg 2 l1 key name _____ s....

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