Simple Linear Equations
ICSE · Class 7 · Mathematics
Practice quiz for Simple Linear Equations — ICSE Class 7 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: Simple Linear Equations
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Solve the equation 2(x - 5) + 3(x - 2) = 8 + 7(x - 4). What is the value of x?
Solve the fraction equation (x - 1)/3 - (2x - 3)/5 = 1. What is x?
A purse has 60 notes of ₹10 and ₹50 together, and the total value is ₹1400. If x is the number of ₹10 notes, what is x?
The perimeter of a rectangle is 50 cm and its length exceeds its breadth by 5 cm. What is the length of the rectangle?
Sample Questions
A father is 3 times as old as his son. After 10 years, the father will be twice the son's age. What is the son's present age?
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10 years
Let the son's present age be x years. Then the father's present age is 3x years. After 10 years, their ages will be x + 10 and 3x + 10. The condition gives 3x + 10 = 2(x + 10). Simplify: 3x + 10 = 2x + 20, so x = 10.
A number is multiplied by 9 and then 11 is added to the product. The final result is 56. What is the number?
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5
Let the number be x. The equation is 9x + 11 = 56. Subtract 11 from both sides: 9x = 45. Divide by 9: x = 5.
A number is as much greater than 35 as it is less than 53. What is the number?
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44
Let the number be x. The condition means x - 35 = 53 - x. Add x to both sides and add 35 to both sides: 2x = 88. Divide by 2: x = 44.
The sum of two numbers is 18. If one number is twice the other, what are the two numbers?
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12 and 6
Let the smaller number be x. Then the other number is 2x. Their sum is x + 2x = 18, so 3x = 18. Divide by 3: x = 6. The numbers are 6 and 12.
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