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Olympiad (Class 7) Simple Linear Equations — practice questions

Explore 62 free Simple Linear Equations questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Simple Linear Equations questions and exercises with answers

Showing questions 1–30 of 62.

Three times a number plus 5 gives 20. Which number is it?Read the answer and worked solution →A number is divided by 4 and then reduced by 2, leaving 3. Find the number.Read the answer and worked solution →Twice the difference of a number and 3 is 14. Find the number.Read the answer and worked solution →Five times a number decreased by 7 equals 38. What is the number?Read the answer and worked solution →The sum of three consecutive whole numbers is 51. What is the smallest of them?Read the answer and worked solution →Find x if 4x + 3 equals x + 18.Read the answer and worked solution →Ria doubles her number and adds 9 to get 25. What is her number?Read the answer and worked solution →A pencil costs Rs 6 more than a pen. Together they cost Rs 20. What is the price of the pen?Read the answer and worked solution →A rectangle has perimeter 36 cm and length 12 cm. What is its breadth?Read the answer and worked solution →A square has side (2x - 1) cm and perimeter 28 cm. What is x?Read the answer and worked solution →A father is 4 times as old as his son. After 6 years the sum of their ages will be 62. What is the son's present age?Read the answer and worked solution →A mother is 26 years older than her daughter. In 4 years she will be 3 times her daughter's age. The daughter is nowRead the answer and worked solution →The sum of two numbers is 45 and one is 7 more than the other. What is the larger number?Read the answer and worked solution →If x + 7 = 4, what is x?Read the answer and worked solution →A number subtracted from 6 leaves 10. What is the number?Read the answer and worked solution →Half of a number added to one-third of it gives 10. Find the number.Read the answer and worked solution →Which step keeps an equation balanced?Read the answer and worked solution →Why can both sides of an equation not be divided by zero?Read the answer and worked solution →The two sides of an equals sign in an equation are calledRead the answer and worked solution →Who introduced the equals sign in 1557, reasoning that nothing is more equal than two parallel lines?Read the answer and worked solution →A value of the unknown that makes both sides of an equation equal is called itsRead the answer and worked solution →How many solutions does 5x - 10 = 0 have?Read the answer and worked solution →Which of these equations is true when x = 3?Read the answer and worked solution →Which equation is satisfied by x = -2?Read the answer and worked solution →An equation that is true for every value of the variable is calledRead the answer and worked solution →The equation x + 4 = x + 9 hasRead the answer and worked solution →Squaring both sides of x = 1 gives x*x = 1. Which extra value now also satisfies it?Read the answer and worked solution →Subtracting 5x from both sides of 9x = 5x + 20 givesRead the answer and worked solution →Moving a term from one side of an equation to the other changes itsRead the answer and worked solution →Three-fourths of a number is 6 more than half of it. What is the number?Read the answer and worked solution →

Worked practice questions

Three times a number plus 5 gives 20. Which number is it?

  1. 15
  2. 4
  3. 5
  4. 6
Show answer and solution

Correct answer: C. 5

Subtract 5 from both sides to get 3x = 15, then divide by 3 to get x = 5.

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A number is divided by 4 and then reduced by 2, leaving 3. Find the number.

  1. 20
  2. 24
  3. 12
  4. 5
Show answer and solution

Correct answer: A. 20

Add 2 to get x/4 = 5, then multiply both sides by 4 to get x = 20.

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Twice the difference of a number and 3 is 14. Find the number.

  1. 11
  2. 7
  3. 10
  4. 17
Show answer and solution

Correct answer: C. 10

Divide by 2 to get x - 3 = 7, so x = 10.

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