Solving Quadratic Equations - Solve Each Problem and Write Answers Rounded to 2 Decimal Places

Sep 30, 2026

Uploaded by Theodore

Practice worksheet for solving quadratic equations, presenting multiple equations in standard algebraic forms (including expressions with parentheses and negative coefficients). Each item instructs solving for x and writing solutions as decimals rounded to two places. The included answer key provides the computed decimal solution pairs for each numbered problem, along with algebraic solution steps such as applying the quadratic formula and simplifying the discriminant.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Problems

Solve each equation and round to 2 decimal places

Answer Key

Solving Quadratic Equations Name: | Solve each problem. Write your answer as a decimal rounded to 2 places.
1) -8x2 = -(6x + 9) 2) x(2x + 1) = 1
3) 5x2-23x + 12 4) 12x2 = -(13x + 3)
5) -12x2 = -(1x + 1) 6) x(2x + 9) = -9
7) 20x2 = -(17x + 3) 8) 15x2 = -(17x-4)
9) 1x2 = -(2x-8) 10) x(16x-20) = -6 | | | | Answers
1.
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10. | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1-10 | 90 | 80 | 70 | | 60 | 50 | 40 | 30 | 20 | 10 | 0 | [Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2) Solving Quadratic Equations Name: Answer Key | Solve each problem. Write your answer as a decimal rounded to 2 places. | | | | | Answers 1. -0.75 , 1.50 2. 0.50 , -1.00 3. 4.00 , 0.60 4. -0.33 , -0.75 5. -0.25 , 0.33 6. -1.50 , -3.00 7. -0.25 , -0.60 8. 0.20 , -1.33 9. 2.00 , -4.00 10. 0.75 , 0.50 | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1) -8x2 = -(6x + 9)
-6+- 62-4(-8)(9)
-6 ± 18

-16
3 x+ = -4
-3 x- = -2
3) 5x2-23x + 12
23+- -232-4(5)(12)
23 ± 17

10
4 x+ = 1
3 x- = 5
5) -12x2 = -(1x + 1)
-1+- 12-4(-12)(1)
-1 ± 7

-24
1 x+ = -4
-1 x- = -3
7) 20x2 = -(17x + 3)
-17+- 172-4(20)(3)
-17 ± 7
x+
40-1
= 4 -3

x- = 5
9) 1x2 = -(2x-8)
-2+- 22-4(1)(-8)
-2 ± 6

2
2 x+ = 1
-4 x- = 1 | 2) x(2x + 1) = 1
-1+- 12-4(2)(-1)
-1 ± 3

4
1 x+ = 2
-1 x- = 1
4) 12x2 = -(13x + 3)
-13+- 132-4(12)(3)
-13 ± 5
x+
24
-1 = 3 -3

x- = 4
6) x(2x + 9) = -9
-9+- 92-4(2)(9)
-9 ± 3

4
-3 x+ = 2
-3 x- = 1
8) 15x2 = -(17x-4)
-17+- 172-4(15)(-4)
-17 ± 23
x+
30 1 = 5 -4
x- = 3
10) x(16x-20) = -6
20+- -202-4(16)(6)
20 ± 4

32
3 x+ = 4
1 x- = 2 | | | | | | | | | | | | | 1-10 | | 90 | 80 | 70 | | 60 | 50 | 40 | 30 | 20 | 10 | 0 | [Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2) Solving Quadratic Equations Name: | Solve each problem. Write your answer as a decimal rounded to 2 places.
1) -8x2 = -(6x + 9) 2) x(2x + 1) = 1
3) 5x2-23x + 12 4) 12x2 = -(13x + 3)
5) -12x2 = -(1x + 1) 6) x(2x + 9) = -9 | 1.
2.
3.
4.
5.
6. | Answers | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1-6 | | 83 | 67 | 50 | 33 | 17 | 0 | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 2

FAQs

What should answers be rounded to for each problem?

Answers must be written as decimals rounded to 2 places.

How many quadratic equations are included to solve?

There are 10 numbered quadratic equations to solve.

Does the document include an answer key?

Yes. The document includes an Answer Key listing the decimal solution pairs for each problem.

Sep 30, 2026

Uploaded by Theodore