A multiple-choice quiz
by achernar.
Estimated time: 3 mins.

- Home
- »
- Quizzes
- »
- Science Trivia
- »
- Math
- »
- Algebra

Most Recent Scores

Sep 21 2023
:
Guest 171: 3/10Sep 14 2023 : Guest 165: 4/10

Sep 11 2023 : Guest 174: 0/10

Sep 09 2023 : Guest 99:

Sep 08 2023 : Guest 223: 6/10

Sep 03 2023 : Dagny1: 8/10

Sep 02 2023 : Guest 175: 4/10

Sep 01 2023 : Edzell_Blue: 7/10

Aug 30 2023 : Guest 157: 0/10

Score Distribution

Quiz Answer Key and Fun Facts

Answer:
**18**

a + 54 = 5a - 18

=> 54 + 18 = 5a - a

=> 72 = 4a

=> a = 72/4

=> a = 18

a + 54 = 5a - 18

=> 54 + 18 = 5a - a

=> 72 = 4a

=> a = 72/4

=> a = 18

Answer:
**51**

[(2b)/3] - 17 = b - 34

=> (2b)/3 - b = -34 + 17

=> (2b - 3b)/3 = -17

=> -b/3 = -17

=> -b = -17 * 3

=> b = 51

[(2b)/3] - 17 = b - 34

=> (2b)/3 - b = -34 + 17

=> (2b - 3b)/3 = -17

=> -b/3 = -17

=> -b = -17 * 3

=> b = 51

Answer:
**12**

12c - 2(c + 1) = 8c + 22

=> 12c - 2c - 2 = 8c + 22

=> 12c - 2c - 8c = 22 + 2

=> 2c = 24

=> c = 24/2

=> c = 12

12c - 2(c + 1) = 8c + 22

=> 12c - 2c - 2 = 8c + 22

=> 12c - 2c - 8c = 22 + 2

=> 2c = 24

=> c = 24/2

=> c = 12

Answer:
**27**

3d - 5 = [(4d)/3] + 40

=> 3d - (4d)/3 = 40 + 5

=> (9d - 4d)/3 = 45

=> (5d)/3 = 45

=> 5d = 45 * 3

=> 5d = 135

=> d = 135/5

=> d = 27

3d - 5 = [(4d)/3] + 40

=> 3d - (4d)/3 = 40 + 5

=> (9d - 4d)/3 = 45

=> (5d)/3 = 45

=> 5d = 45 * 3

=> 5d = 135

=> d = 135/5

=> d = 27

Answer:
**3**

(7e + 5)/e = 26/3

=> 21e + 15 = 26e

=> 26e - 21e = 15

=> 5e = 15

=> e = 15/5

=> e = 3

(7e + 5)/e = 26/3

=> 21e + 15 = 26e

=> 26e - 21e = 15

=> 5e = 15

=> e = 15/5

=> e = 3

Answer:
**2**

(9 + 3f)/(4f + 22) = 1/2

=> 18 + 6f = 4f + 22

=> 6f - 4f = 22 - 18

=> 2f = 4

=> f = 4/2

=> f = 2

(9 + 3f)/(4f + 22) = 1/2

=> 18 + 6f = 4f + 22

=> 6f - 4f = 22 - 18

=> 2f = 4

=> f = 4/2

=> f = 2

Answer:
**12**

(1 - 3g)/5 = -(g - 5)

=> (1 - 3g)/5 = -g + 5

=> 1 - 3g = -5g + 25

=> -3g + 5g = 25 - 1

=> 2g = 24

=> g = 24/2

=> g = 12

(1 - 3g)/5 = -(g - 5)

=> (1 - 3g)/5 = -g + 5

=> 1 - 3g = -5g + 25

=> -3g + 5g = 25 - 1

=> 2g = 24

=> g = 24/2

=> g = 12

Answer:
**6**

9h - 4 = (16h + 4)/2

=> 18h - 8 = 16h + 4

=> 18h - 16h = 4 + 8

=> 2h = 12

=> h = 12/2

=> h = 6

9h - 4 = (16h + 4)/2

=> 18h - 8 = 16h + 4

=> 18h - 16h = 4 + 8

=> 2h = 12

=> h = 12/2

=> h = 6

Answer:
**12**

(4i - 8)/5 = i - 4

=> 4i - 8 = 5i - 20

=> 5i - 4i = 20 - 8

=> i = 12

(4i - 8)/5 = i - 4

=> 4i - 8 = 5i - 20

=> 5i - 4i = 20 - 8

=> i = 12

Answer:
**5 **

From questions 1 to 9, the values for the all variables 'a' to 'i' that you get are: 'a'=18, 'b'=51, 'c'=12, 'd'=27, 'e'=3, 'f'=2, 'g'=12, 'h'=6, and 'i'=12. Now, by putting these values in the equation in the question, you get:

[(51/3 + x)/x][(2 * 12 - 12)/12] = (27/x + 18 + 3)/6

=> [(17 + x)/x][(24 - 12)/12] = (27/x + 21)/6

=> [(17 + x)/x][12/12] = (27/x + 21)/6

=> [(17 + x)/x] * 1 = (27/x + 21)/6

=> (17 + x)/x = (27/x + 21)/6

=> 102 + 6x = 27 + 21x

=> 21x - 6x = 102 - 27

=> 15x = 75

=> x = 75/15

=> x = 5

Phew! I hope you enjoyed solving these equations (regardless of how well you did)!

From questions 1 to 9, the values for the all variables 'a' to 'i' that you get are: 'a'=18, 'b'=51, 'c'=12, 'd'=27, 'e'=3, 'f'=2, 'g'=12, 'h'=6, and 'i'=12. Now, by putting these values in the equation in the question, you get:

[(51/3 + x)/x][(2 * 12 - 12)/12] = (27/x + 18 + 3)/6

=> [(17 + x)/x][(24 - 12)/12] = (27/x + 21)/6

=> [(17 + x)/x][12/12] = (27/x + 21)/6

=> [(17 + x)/x] * 1 = (27/x + 21)/6

=> (17 + x)/x = (27/x + 21)/6

=> 102 + 6x = 27 + 21x

=> 21x - 6x = 102 - 27

=> 15x = 75

=> x = 75/15

=> x = 5

Phew! I hope you enjoyed solving these equations (regardless of how well you did)!

This quiz was reviewed by FunTrivia editor CellarDoor before going online.

Any errors found in FunTrivia content are routinely corrected through our feedback system.

Related Quizzes

1. **Questions on Quadratics** Average

2.**Algebra Terms** Tough

3.**My Good Friend Slope** Average

4.**Polynomial Factoring Madness!** Average

5.**Basic Math or Algebra?** Tough

6.**The Matrix** Average

7.**Radical Radicals** Average

8.**An Adventure in Abstract Algebra** Very Difficult

9.**Algebra Wonderland!** Tough

10.**Fun with Quadratics!** Average

11.**Enter the Matrix** Tough

12.**Matrices** Tough

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

Referenced Topics

Science
Math
Algebra
Other Destinations

Explore Other Quizzes by Go to

More

FunTrivia