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### Grade 6 - Mathematics12.78 Applications of Simple Equations

 Example: "Some number added to 7 gives 11," convert this word problem into a symbolic statement. Solution: Let the number be 'x'. If x is added to 7, we get x+7. According to the problem statement, this sum is equal to 11. Therefore, symbolically the statement is x+7 = 11. Directions: Convert the following word problems into symbolic statements. Also write at least 10 examples of your own.
 Q 1: 50 reduced by some number gives 45.x = 50 - 45x - 50 = 4550 - x = 4545 - x = 50 Q 2: Twice a number gives 64.2/x = 64x = 64*22x = 64x + 2 = 64 Q 3: Some number added to 20 gives 11.x = 20 + 11x + 20 = 11x + 11 = 2020x = 11 Q 4: 75 reduced by some number gives 37.x - 75 = 37x = 75 - 3737 - x = 7575 - x = 37 Q 5: Some number added to 15 gives 20.15x = 20x + 20 = 15x = 15 + 20x + 15 = 20 Q 6: Some number added to 11 gives 20.x + 11 = 20x + 20 = 11x = 11 + 2011x = 20 Q 7: Some number decreased by 50 gives 35.x + 50 = 35x = 35 - 50x - 50 = 35x + 35 = 50 Q 8: Some number divided into 50 parts gives 5.50x = 5x - 50 = 5x/50 = 550/x = 5 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!