Tham khảo tài liệu 'math word problem demystified phần 4', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | LESSON 8 Algebraic Representation SOLUTIONS 1. 7 4x 31 2 2x 5 15 3. x 8 19 4. 2x 5. x 2x 30 Finally it is necessary to be able to write an equation for two related unknowns using one variable. EXAMPLE Write an equation for this problem One number is 10 more than another number and their sum is 16. SOLUTION Let x the smaller number and x 10 the larger number. The equation is X X 10 16. EXAMPLE Write an equation for this problem One number is five times as large as another number. If three times the smaller number is subtracted from the larger number the answer is 20. SOLUTION Let x the smaller number and 5x the larger number. The equation is 5x 3x 20. Try These Write an equation for each 1. The smaller number is I of the larger number. Find the numbers if their sum is 36. 2. A certain number exceeds another number by 6. If their sum is 56 find the numbers. 3. One number is 8 more than twice another number. Find the numbers if their sum is 50. 4. What number increased by I of itself is equal to 5 5. Two times a number is 6 more than I the number. Find the numbers. LESSON 8 Algebraic Representation SOLUTIONS 1. Let X the larger number and i X the smaller number. The equation is x x 36. 2. Let X the smaller number and X 6 the larger number. The equation is X X 6 56. 3. Let X the smaller number and 2x 8 the other number. The equation is X 2x 8 50. 4. Let X the number. The equation is X 5X 5. 5. Let X the number. The equation is 2x ịX 6. Solving Number Problems The strategy that is used to solve word problems in algebra is as follows 1. Represent an unknown by using X. 2. If necessary represent the other unknowns by using algebraic expressions in terms of X. 3. From the conditions of the problem write an equation using the algebraic representation of the unknown s . EXAMPLE One number is 8 more than another number and the sum of lhe two numbers is 26. Find the numbers. SOLUTION GOAL You are being asked to find two .
