Simple Equations — Practice Quiz
Gujarat Board · Class 7 · Mathematics
Try a 4-question quiz on Simple Equations for Gujarat Board Class 7 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Simple Equations
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Solve the equation: 3x + 7 = 22. What is the value of x?
A number is multiplied by 5 and then 8 is subtracted from the product. The result is 42. Which equation represents this situation?
Solve: 2y - 6 = 0. What is the value of y?
Raju's father is 44 years old. He is 5 years more than three times Raju's age. What is Raju's age?
Sample Questions
Solve: m/5 + 3 = 8. What is the value of m?
Show answer
m = 25
Step 1: We have m/5 + 3 = 8. We need to find m. Step 2: Transpose +3 to the RHS. It becomes -3. So m/5 = 8 - 3 = 5. Step 3: Multiply both sides by 5 to remove the fraction. m = 5 × 5 = 25. Step 4: Verify: 25/5 + 3 = 5 + 3 = 8 = RHS. Correct! Common mistake: Multiplying by 5 before transposing 3, which gives m + 3 = 40, leading to m = 37.
Which of the following values of x satisfies the equation 4x + 5 = 65?
Show answer
x = 15
Step 1: We check which value satisfies 4x + 5 = 65. Step 2: Try x = 15: LHS = 4(15) + 5 = 60 + 5 = 65 = RHS. This works! Step 3: To confirm it is the only solution, solve the equation: 4x = 65 - 5 = 60, so x = 15. Step 4: Check other options: x = 10 gives 4(10)+5 = 45 ≠ 65; x = 20 gives 4(20)+5 = 85 ≠ 65. Only x = 15 satisfies the equation. This was the equation from the mind-reading game in the chapter.
The equation for 'Seven times a number plus 4 equals 46' is set up and solved. What is the number?
Show answer
6
Step 1: Let the number be x. Step 2: 'Seven times a number plus 4 equals 46' gives: 7x + 4 = 46. Step 3: Transpose +4: 7x = 46 - 4 = 42. Step 4: Divide both sides by 7: x = 42 ÷ 7 = 6. Step 5: Verify: 7(6) + 4 = 42 + 4 = 46 = RHS. The number is 6. Common mistake: Writing the equation as 7(x + 4) = 46, which gives a different answer.
Solve: 10y - 20 = 50. What is y?
Show answer
y = 7
Step 1: We have 10y - 20 = 50. Step 2: Transpose -20 to the RHS. It becomes +20. So 10y = 50 + 20 = 70. Step 3: Divide both sides by 10: y = 70 ÷ 10 = 7. Step 4: Verify: 10(7) - 20 = 70 - 20 = 50 = RHS. Correct! This is the equation from Appu's mind-reading game. The answer is y = 7. Common mistake: Dividing 50 by 10 first to get y - 20 = 5, then y = 25, which is incorrect.
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