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Quiz about Linear Equations in One Variable

Linear Equations in One Variable Quiz

A quiz on linear equations in one variable to re-live old memories of high school math. All answers are positive integers. You might want to make a note of the answers as you progress. Enjoy!

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

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Author
achernar

Time
3 mins

Type
Multiple Choice

Quiz #
118,222

Updated
Apr 06 26

# Qns
10

Difficulty
Average

Avg Score
7 / 10

Plays
15173

Awards
Top 20% Quiz

Last 3 plays: Skribagot_13 (10/10), Guest 146 (1/10), leith90 (10/10).

Question 1 of 10

1. If a + 54 = 5a - 18, then the value of 'a' is... Hint

NEXT>

Question 2 of 10

2. If [(2b)/3] - 17 = b - 34, then the value of 'b' is... Hint

NEXT>

Question 3 of 10

3. If 12c - 2(c + 1) = 8c + 22, then the value of 'c' is... Hint

NEXT>

Question 4 of 10

4. If 3d - 5 = [(4d)/3] + 40, then the value of 'd' is... Hint

NEXT>

Question 5 of 10

5. If (7e + 5)/e = 26/3, then the value of 'e' is... Hint

NEXT>

Question 6 of 10

6. If (9 + 3f)/(4f + 22) = 1/2, then the value of 'f' is... Hint

NEXT>

Question 7 of 10

7. If (1 - 3g)/5 = -(g - 5), then the value of 'g' is... Hint

NEXT>

Question 8 of 10

8. If 9h - 4 = (16h + 4)/2, then the value of 'h' is... Hint

NEXT>

Question 9 of 10

9. If (4i - 8)/5 = i - 4, then the value of 'i' is... Hint

256

10. Now, using the values for 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h' and 'i' which you have obtained from the equations in questions 1 - 9, find the value of 'x' in the following equation:

[(b/e + x)/x][(fc - g)/i] = (d/x + a + e)/h

Answer: (If your answer isn't a positive integer, which it should be, then go check all your previous answers)

Most Recent Scores

May 20 2026 : Skribagot_13: 10/10
May 14 2026 : Guest 146: 1/10
May 10 2026 : leith90: 10/10
Apr 25 2026 : SandroKometa: 9/10
Apr 24 2026 : Guest 192: 9/10
Apr 23 2026 : masfon: 10/10
Apr 17 2026 : sciencenerd05: 10/10
Apr 17 2026 : Aph1976: 2/10
Apr 12 2026 : Guest 108: 3/10

Score Distribution

Quiz Answer Key and Fun Facts

1. If a + 54 = 5a - 18, then the value of 'a' is...

Answer: 18

a + 54 = 5a - 18
=> 54 + 18 = 5a - a
=> 72 = 4a
=> a = 72/4
=> a = 18

2. If [(2b)/3] - 17 = b - 34, then the value of 'b' is...

Answer: 51

[(2b)/3] - 17 = b - 34
=> (2b)/3 - b = -34 + 17
=> (2b - 3b)/3 = -17
=> -b/3 = -17
=> -b = -17 * 3
=> b = 51

3. If 12c - 2(c + 1) = 8c + 22, then the value of 'c' is...

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

4. If 3d - 5 = [(4d)/3] + 40, then the value of 'd' is...

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

5. If (7e + 5)/e = 26/3, then the value of 'e' is...

Answer: 3

(7e + 5)/e = 26/3
=> 21e + 15 = 26e
=> 26e - 21e = 15
=> 5e = 15
=> e = 15/5
=> e = 3

6. If (9 + 3f)/(4f + 22) = 1/2, then the value of 'f' is...

Answer: 2

(9 + 3f)/(4f + 22) = 1/2
=> 18 + 6f = 4f + 22
=> 6f - 4f = 22 - 18
=> 2f = 4
=> f = 4/2
=> f = 2

7. If (1 - 3g)/5 = -(g - 5), then the value of 'g' is...

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

8. If 9h - 4 = (16h + 4)/2, then the value of 'h' is...

Answer: 6

9h - 4 = (16h + 4)/2
=> 18h - 8 = 16h + 4
=> 18h - 16h = 4 + 8
=> 2h = 12
=> h = 12/2
=> h = 6

9. If (4i - 8)/5 = i - 4, then the value of 'i' is...

Answer: 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 all the 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)!

Source: Author achernar

This quiz was reviewed by FunTrivia editor CellarDoor before going online.
Any errors found in FunTrivia content are routinely corrected through our feedback system.

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