Practice A.10(E) PDF Sep 30 2014 G 4x +

Practice

24c2 + 96c + 90. Practice. Form G. Factoring ax2 + bx + c. (2w. 3)(w. 5). (3p. 8)(p. 5). (2k. 7)(7k. 9). (5t. 1)(t. 5). (4k. 3)(2k. 9). (3d. 2)(d. 6). 2(3r.

Untitled

Answer: (x-4) (2x+1) 8-6. Practice. Factoring ax² + bx + c. Factor each expression. 1.2w² + 13w+ 15 ... 28. 40x² - 136x – 96. 31. 24c²+96c + 90. Form G ...

Practice

6. y2 + 18y + 65 = (y + 13)(y + Check your answer. 13. y2 + 5y + 6. 14. t2 + 9t + 18 ... Form G. Factoring x2 + bx + c x2 + 2x – 80. = (x + 8)(x – 10).

Additional Vocabulary Support

Practice. Form G. Solving Polynomial Equations. Find the real or imaginary solutions of each equation by factoring. 1. 8x3 2 27 5 0. 2. x3 1 64 5 0.

STUDENT TEXT AND HOMEWORK HELPER

8-6 Factoring to Solve Quadratic Equations . standard form (f(x) = ax2 + bx + c). ... Solve quadratic equations having real solutions by factoring ...

Solving Equations by Factoring a x 2 +bx+c

Sep 2 2014 g. C ... are the solutions of the original quadratic equation. PREVIEW: LESSON ... of the form a x 2 + bx + c as long as a > 0.

STUDENT TEXT AND HOMEWORK HELPER

1 2 3 4 5 6 7 8 9 10 V0YJ 20 19 18 17 16 15 14 (10)(E) Factor if possible

Practice A.10(E)

Sep 30 2014 G 4x + 3 ... 4 What are the factors of the trinomial x2 + x - 6? ... Factor

36c2 1 27c 2 55 2x 2 5 A 5 bh Sample: You know that the product of 4x 1 9 and another factor is 8x2 2 2x 2 45 4x times 2x is 8x2 and 9 times 25 is 245 So 8x2 2 2x 2 45 5 (4x 1 9)(2x 2 5) Then use FOIL to check 5x 1 25 (12d 1 7)(8d 2 11) (8h 2 5)(6h 2 7) 3(2m 2 1)(4m 1 5) (3c 1 5)(12c 2 11) Answers may vary Sample: 24 11; 4n2 2 4n 2 3 5

Practice Form G - Weebly

72g2h - 43gh + 6h Practice (continued) Form G Factoring ax2 + bx + c (6x2 + 3x – 9) = 3(2x2 + x – 3) = 3(2x2 - 3x + 2x – 3) = 3(2x2 - 3x + (2x – 3) = 3[ x (2x - 3) + 1 (2x – 3) ] = 3(x + 1) (2x – 3) Answers may vary Sample: 19 16: (4x ˜ 3)(x ˜ 4); (4x ˜ 4)(x ˜ 3) Answers may vary Sample: 11 ?11; (8n ? 5)(n ˜ 2); (n ? 2

Practice Form G - Weebly

Name Practice Factoring x2 + bx + c Complete 1 k2 + 11k + 30 = (k + 5)(k + ) 6 3 t2 + 7t + 10 = (t + 2)(t + ) 5 5 w2 + 13w + 36 = (w + 4)(w + ) 9 7 s2 - 12s + 32 = (s - 8)(s - ) 4 9 v2 - 17v + 60 = (v - 12)(v - ) 5 11 d2 - 9d + 8 = (d - 8)(d - ) 1 Factor each expression Check your answer Class Date Form G

NAME ________________________________________________ DATE ____________________ PERIOD __________

SCORE __________

Practice

A.10(E)

_____

1 Factor the expression -8x

22x - 15.

A (2 x + 3)(5 - 4x) B (2 x - 3)(5 - 4x) C (4 x + 5)(2x - 3)

D (3 - 2

x)(5 - 4x)

2 The area of a rectangle is 6

x 2 x - 12 and the width is 2 x - 3. Which expression best represents the rectangle"s length? F 4 x - 3 G 4 x + 3 H 3 x - 4 J 3 x + 4

3 Factor the expression 12

x 2 x - 6. A (4 x + 3)(3x - 2) B (4 x - 3)(3x + 2) C (6 x + 1)(x - 6) D (6 x - 3)(x + 6)

4 What are the factors of the trinomial

x 2 + x - 6? F ( x + 3)(x - 2) G ( x - 3)(x + 2) H ( x + 3)(x + 2) J ( x - 3)(x - 2) 5 Factor the expression 3 x 2

2x - 8.

A (3 x + 4)(x - 2) B (3 x - 4)(x - 2) C (3 x + 4)(x + 2) D (3 x - 4)(x + 2)

6 Factor the expression

x 2

4x - 21.

F ( x + 7)(x - 3)

G (x - 7)(x - 3)

H ( x + 7)(x + 3) J ( x - 7)(x + 3)

7 The expression

x 2 x + 8.75 factors as x + 2.5)(x - a) for some positive value a. What is a?

Record your answer and fill in the bubbles on

your answer document.

Multi-Step Example

Factor 6

x 2 16 x 8. First, since there is a common factor of 2, factor it out to get 2(3 x 2

8x + 4). To factor the

trinomial 3 x 2

8x + 4, note that there is only one way to factor 3 namely 3 and 1. The poss

ible factors of 4 are 1 and 4 or 2 and 2. Using 1 and 4, we get (3 x + 1)(x + 4) = 3x 2

13x + 4 or

(3 x + 4)(x + 1) = 3x 2

7x + 4, neither of which are correct. However, (3x + 2)(x + 2) = 3x

8x + 4.

6 x 2

16x + 8 = 2(3x

8x + 4) Distributive Property

2(3 x + 2)(x + 2) Factor. Factor, if possible, trinomials with real factors in the form ax 2 bx c, including perfect square trinomials of degree two.

Mastering the TEKS, Algebra 181

Program:

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First Round

Vendor:

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NAME ________________________________________________ DATE ____________________ PERIOD __________

SCORE __________

Practice A.10(E) (continued)

_____ P

8 The area of the rectangle below is

3 x 2

7x - 20. What is the width?

x - 4

A x - 5

B x + 5 C 3 x + 5 D 3 x - 5

9 Factor the expression

x 2

6x + 9.

F ( x - 3)(x + 3) G ( x - 3) 2

H x(x + 3)

J ( x - 1)(x + 9)

10 The trinomial 4

x 2

36x + 45 has two factors

of the form (2 x + k). Which of the following is the greater value of k? A 1 B 3 C 15 D 45

11 Factor the expression 24

x 2

5x - 1.

F (6 x + 1)(4x - 1) G (6 x - 1)(4x + 1) H (8 x + 1)(3x - 1) J (8 x - 1)(3x + 1)

12 One of the factors of 8

x 2

18x - 5 is 4x - 1.

What is the other factor?

A 2 x + 5 B 2 x - 5 C 4 x - 5 D 4 x + 5 13 The expression 25 x 2

20x + 4 factors as

ax + b) 2 . Which of the following is equal to ax + b? F 625 x + 16 G 625 x - 16 H 5 x - 2 J 5 x + 2

14 Factor the expression 5

x 2

20x - 60.

A 5( x + 2)(x - 6) B 5( x - 2)(x + 6) C 5( x - 3)(x + 4) D 5( x + 3)(x - 4)

15 Which of the following is a factor of

6 x 2

13x - 5?

F 2 x + 5 G 2 x - 5 H 3 x - 1 J 3 x + 5

16 The area of a rectangle is 6

x 2

9x - 15 and

the length is 2 x - 5. Which expression best represents the rectangle"s width? A 3 x - 3 B 3 x + 3 C 4 x + 3 D 4 x - 3

17 Factor the expression 54

x - 36x 2 F 18 x(3 - 2x) G 18 x(3 + 2x) H

18x(3 + 2x)

J -18 x 3

Mastering the TEKS, Algebra 182

Program:

Mastering TEKsComponent: ALG1

First Round

Vendor:

SPi GlobalGrade: A10(E)

081_082B_ALG1_A_PRA_T_A10E_675315.indd 829/30/14 10:26 PM

quotesdbs_dbs6.pdfusesText_12

[PDF] Practice A.10(E) Sep 30 2014 G 4x +

SCORE __________

Practice

A.10(E)

1 Factor the expression -8x

22x - 15.

D (3 - 2

2 The area of a rectangle is 6

3 Factor the expression 12

4 What are the factors of the trinomial

2x - 8.

6 Factor the expression

4x - 21.

G (x - 7)(x - 3)

7 The expression

Record your answer and fill in the bubbles on

Multi-Step Example

Factor 6

8x + 4). To factor the

8x + 4, note that there is only one way to factor 3 namely 3 and 1. The poss

13x + 4 or

7x + 4, neither of which are correct. However, (3x + 2)(x + 2) = 3x

8x + 4.

16x + 8 = 2(3x

8x + 4) Distributive Property

Mastering the TEKS, Algebra 181

Program:

Mastering TEKsComponent: ALG1

First Round

Vendor:

SPi GlobalGrade: A10(E)

SCORE __________

Practice A.10(E) (continued)

8 The area of the rectangle below is

7x - 20. What is the width?

A x - 5

9 Factor the expression

6x + 9.

H x(x + 3)

10 The trinomial 4

36x + 45 has two factors

11 Factor the expression 24

5x - 1.

12 One of the factors of 8

18x - 5 is 4x - 1.

What is the other factor?

20x + 4 factors as

14 Factor the expression 5

20x - 60.

15 Which of the following is a factor of

13x - 5?

16 The area of a rectangle is 6

9x - 15 and

17 Factor the expression 54

18x(3 + 2x)

Mastering the TEKS, Algebra 182

Program:

Mastering TEKsComponent: ALG1

First Round

Vendor:

SPi GlobalGrade: A10(E)

081_082B_ALG1_A_PRA_T_A10E_675315.indd 829/30/14 10:26 PM