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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
Nov 20 23

# Qns
10

Difficulty
Average

Avg Score
7 / 10

Plays
15090

Awards
Top 20% Quiz

Last 3 plays: jeremygilbert (2/10), absrchamps (7/10), Nhoj_too (2/10).

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

Dec 01 2024 : jeremygilbert: 2/10
Nov 13 2024 : absrchamps: 7/10
Nov 04 2024 : Nhoj_too: 2/10
Nov 04 2024 : Guest 99: 2/10
Nov 02 2024 : GBfan: 8/10
Oct 30 2024 : miranda101: 10/10
Oct 23 2024 : parrotman2006: 8/10

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 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)!

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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