Applications of Linear Equations
Problems with Answers for Grade 8

Grade 8 questions on applications of linear equations with solutions and explanations included.

  1. Three times a number increased by ten is equal to twenty less than six times the number. Find the number.

  2. If twice the difference of a number and 3 is added to 4, the result is 22 more than four times the number. Find the number.

  3. The sum of two numbers is 64. The difference of the two numbers is 18. What are the numbers?

  4. The length of a rectangle is 10 meters more than twice its width. What is the length and width of the rectangle if its perimeter is 62 meters.

  5. The average of 35, 45 and x is equal to five more than twice x. Find x.

  6. The difference in the measures of two supplementary angles is 102o. Find the two angles.

  7. Two complementary angles are such that one is 14o more than three times the second angle. What is the measure of the larger angle.

  8. The sum of a positive even integer number and the next third even integer is equal to 150. Find the number.

  9. The average of three odd successive numbers is equal to 129. What is the largest of the three numbers?

  10. Two numbers are such that one number is 42 more that the second number and their average is equal to 40. What are the two numbers?

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