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Number Problems Problem 1) Five times a number increased by seven is equal to forty-seven. What is the number? Problem 2) The sum of two consecutive integers is sixty-five. Find the two numbers. Problem 3) Ninety-six golf balls were picked up at the driving range and placed into two buckets.
Word Problems: Algebra 1 and 2. Topics include translating words to operations, linear systems, mixture, work, and rate problems, area, and more.
NUMBER WORD PROBLEMS WITH SOLUTIONS. Problem 1 : The sum of 5 times a number and 8 is 48. Find the number. Solution : Let x be the number. 5x + 8 = 48. 5x = 40. x = 8. Therefore, the number is 8. Problem 2 : A number consists of three digits of which the middle one is zero and the sum of the other digits is 9.
1. Ann picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5 How many different 4-digit numbers could she pick? [3] 2. Tick whether each statement is true or false. Give a reason for your answer. a) When x2 = 16 the only value that x can be is 4 [1] Reason
STORY PROBLEMS WITH INTEGERS. Read carefully and solve. 1. When Steve woke up. His temperature was 102o F. Two hours later it was 3o lower. What was his temperature then? 2. An elevator is on the twentieth floor. It goes down 11 floors and then up . 5 floors. What floor is the elevator on now? 3.
equations, complex numbers in geometry, algorithmic proofs, combinato-rial and advanced geometry, functional equations and classical inequali-ties. Olympiad-style exams consist of several challenging essay problems. Cor-rect solutions often require deep analysis and careful argument. Olym-
Using these key phrases we can take a number problem and set up and equation and solve. Example 1. If 28 less than five times a certain number is 232. What is the number? 5x − 28 Subtraction is built backwards, multiply the unknown by 5 5x − 28 = 232 Is translates to equals. 28 + 28 + Add 28 to both sides 5x = 260 The variable is multiplied by 5.
