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Translating Terms into Symbols MPM 1D0 Term Symbol add __________ sum __________ more __________ increased by __________ greater __________ less __________ difference __________ subtract __________ diminished by __________ product __________ divide __________ equal __________ result __________ is, was, are __________ total __________ times __________ . 1 MPM 1D1 Translating English to Algebra Translate the following from English to Algebra. English Algebra 1. A number 1. _______________ 2. A number added to five 2. _______________ 3. Three times a number 3. _______________ 4. A number diminished by three 4. _______________ 5. Four more than a number 5. _______________ 6. The difference between six times a number 6. _______________ and seven 7. Twice a number less twelve 7. _______________ 8. Two consecutive integers 8. _______________ 9. Two consecutive even integers 9. _______________ 10. Two consecutive odd integers 10._______________ 11. The sum of two consecutive odd integers is 296 11._______________ 12. Three times a number increased by 10 is 37 12._______________ 13. The length is four more than the width 13._______________ 14. One half a number is thirty 14._______________ 15. A number is equal to fifty less the number 15._______________ 16. Sixteen subtracted from five times a number 16._______________ equals the number plus four 17. Twice a number decreased by eight is zero 17._______________ 18. A number is equal to fifty less nine times the 18._______________ number 19. The product of twice a number and sixteen is 19._______________ sixtyfour 20. Twentyfive is five less than six times a number diminished by two 20._______________ 2 Solving Geometry and Number Problems Steps to problem solving: 1. Read and understand the problem. 2. Use let statements to define variables representing unknown quantities. 3. Translate the problem into an equation. 4. Solve the equation and check. 5. Write a concluding sentence. Number Problems: 1. One number is 6 less than another number. If the sum of the numbers is 64, find the numbers. 2. For two consecutive integers, the sum of the smaller and twice the larger is 38. What are the integers? . 3 Geometry Problems 1. The length of a rectangle is 5 cm longer than the width. The perimeter is 54cm. Find the dimensions of the rectangle. . 4