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Practice Factoring to Solve Quadratic Equations Form G MCCOONOWNCAXXXXXXXXXXXCENSEN · Use the Zero-Product Property to solve each equation:

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Practice Form G Factoring to Solve Quadratic Equations Use the Zero-Product Property to solve each equation 1 (3(y+ 6)( - 4) = 0 2 f+ 2)( - 5) = 0 3 (2 x-7)(4 +10) = 0 4 (8 t7)(3 5) 5 d(d - 8) = 0 6 3 m(2 + 9) = 0 Solve by factoring 7 zn2 + 2n - 15 = 0 8 a2 - 15a + 56 = 0 9 2 - 10z + 24 = 0 10 8x2 + 10x + 3 = 0 11 3b2 + 7b - 6 = 0

Factoring to Solve Quadratic Equations - Weebly

Name Class Date Practice 9-4 Form G Factoring to Solve Quadratic Equations Use the Zero-Product Property to solve each equation Solve by factoring 7 n2 + 2n – 15 = 0 8 a2 – 15a + 56 = 0 10 8x2 + 10x + 3 = 0 11 3b2 + 7b – 6 = 0 13 w2 + w = 12 14 s2 + 12s = –32 16 3j2 – 20j = –12 17 12y2 + 40y = 7

Name Class Date

Practice Form G

Factoring to Solve Quadratic Equations

Use the Zero-Product Property to solve each equation.

1. (y+6)(y-4)=0 2. (3f+2)(

f-5)=0

3. (2x-7)(4x+10)=0 4. (8t-7)(3t+5)=0

5. d(d-8)=0 6. 3m(2m+9)=0

Solve by factoring.

7. n 2 +2n-15=0 8. a 2 -15a+56=0 9. z 2 -10z+24=0

10. 8x

2 +10x+3=0 11. 3b 2 +7b-6=0 12. 5p 2 -9p-2=0 13. w 2 +w=12 14. s 2 +12s= -32 15. d 2 =5d

16. 3j

2 -20j= -12 17. 12y 2 +40y=7 18. 27r
2 +69r=8
Use the Zero-Product Property to solve each equation. Write your solutions as a set in roster form. 19. k 2 -11k+30=0 20. x 2 -6x-7=0 21. n 2 +17n+72=0

22. ?e volume of a sandbox shaped like a rectangular prism is 48 ft

3. ?e height

of the sandbox is 2 feet. ?e width is w feet and the length is w+2 feet. Use the formula

V=lwh to ?nd the value of w.

23. ?e area of the rubber coating for a ?at roof was 96 ft

2 . ?e rectangular frame the carpenter built for the ?at roof has dimensions such that the length is

4 feet longer than the width. What are the dimensions of the frame?

24. Ling is cutting carpet for a rectangular room. ?e area of the room is 324 ft

2 ?e length of the room is 3 feet longer than twice the width. What should the dimensions of the carpet be? {6, 5}{-1, 7}{-8 , -9} 4

8 ft by 12 ft

12 ft by 27 ft

-6; 45; - 2 3 7 2 5 2 7 8 5 3 0; 8 -5; 37; 86; 4 3 4 1 2 23
; -32; - 1 5

3; -4-4; -80; 5

2 3 ; 6 1 6 7 2 1 9 8 3 0; - 9 2

Name Class Date

Write each equation in standard form. ?en solve.

25. 21x

2 +5x-35=3x 2 -4x 26. 3n 2 -2n+1= -3n 2 +9n+11

Find the value of

as it relates to each rectangle or triangle.

27. Area=60 cm

28. Area=234 yd

29. Area=20 in.

30. Area=150 m

2 Reasoning For each equation, ?nd and the value of any missing solutions. 31. x
2 -kx-16=0 where -2 is one solution of the equation. 32. x
2 -6x=k where 10 is one solution of the equation.

33. kx

2 -13x=5 where - 1 3 is one solution of the equation.

34. Writing Explain how you solve a quadratic equation by factoring.

Practice (continued) Form G

Factoring to Solve Quadratic Equations

HSM11A1TR_0904_T03401

x 4x

HSM11A1TR_0904_T03402

2 x - 8x

HSM11A1TR_0904_T03403

x + 3 x

HSM11A1TR_0904_T03403

2 x + 1x

6 cm13 yd

5 in.12 m

6; 8 40;
-4 Write the equation in standard form equal to zero. Write two sets of parentheses. Find factors of the x 2 term. Find factors of the constant term. Find the combination of factors whose sum equals the x -term. 18x 2 +9x-35; - 5 3 7 6 6n 2 -11n-10; 5 2 2 3 6; 5 2quotesdbs_dbs11.pdfusesText_17

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Name Class Date

Practice Form G

Factoring to Solve Quadratic Equations

1. (y+6)(y-4)=0 2. (3f+2)(

3. (2x-7)(4x+10)=0 4. (8t-7)(3t+5)=0

5. d(d-8)=0 6. 3m(2m+9)=0

Solve by factoring.

10. 8x

16. 3j

22. ?e volume of a sandbox shaped like a rectangular prism is 48 ft

3. ?e height

V=lwh to ?nd the value of w.

23. ?e area of the rubber coating for a ?at roof was 96 ft

4 feet longer than the width. What are the dimensions of the frame?

24. Ling is cutting carpet for a rectangular room. ?e area of the room is 324 ft

8 ft by 12 ft

12 ft by 27 ft

3; -4-4; -80; 5

Name Class Date

Write each equation in standard form. ?en solve.

25. 21x

Find the value of

27. Area=60 cm

28. Area=234 yd

29. Area=20 in.

30. Area=150 m

33. kx

34. Writing Explain how you solve a quadratic equation by factoring.

Practice (continued) Form G

Factoring to Solve Quadratic Equations

HSM11A1TR_0904_T03401

HSM11A1TR_0904_T03402

HSM11A1TR_0904_T03403

HSM11A1TR_0904_T03403

6 cm13 yd

5 in.12 m