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Math Word Problems and Equations

Solve various math word problems and equations involving time, probability, distance, savings, speed, area, tip, density, and more.

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Math Word Problems and Equations

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  1. 1 The minute hand on a clock pointed directly at the 12. It then moved 2700 degrees clockwise. At which number is the minutes hand pointed after this rotation?

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  5. 5 Colonel Crisp contains one of 6 different prizes in each box of cereal. The prizes are distributed evenly and randomly. If two boxes of the cereal are purchased, what is the probability that the prizes will be different?

  6. 6 The distance required to stop a moving vehicle after applying the brakes varies directly as the square of the vehicle’s speed. If a vehicle traveling at 20 mph requires 50 feet to stop, what is the stopping distance for a vehicle traveling at 60 mph?

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  8. 8 Pete currently earns $500 per month. He receives a 4% increase every 6 months. Three years from now, what will Pete’s monthly salary be?

  9. 9 To compute the length of the hypotenuse of an isosceles right triangle, multiply the length of a leg by the square root of 2. If the length of one leg is a prime number, what type of number is the length of the hypotenuse?

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  14. 14 Identify the independent and dependent variables in the situation: The amount of electricity used for air conditioning in homes increases as the temperature increases.

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  16. 16 Write an equation in slope-intercept form for the line parallel to y = 5x-2 that passes through the point (8,-2). A y = -1/5x - 2 B y = -1/5x - 2/5 C y = 5x + 32 D y = 5x - 42

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  25. 25 Jenny saved $100 to invest. If she deposits the money into a savings account that yields 6% per year, how much money will be in the account in 5 years? Interest is compounded annually.

  26. 26 Bob used x sheets of a 500-sheet pack of paper. Mike used twice as much as Bob. Pete used half as much as Mike. Which expressions represents the amount of paper remaining? A 4x B 3.5x C 500-4x D 500-3.5x

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  28. 28 The number of teeth in the gears of a clock is inversely proportional to the turning speed. Gear 1 has 60 teeth and turns at 450 rpm. Gear 2 has 36 teeth. What is the approximate turning speed of gear 2?

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  32. 32 Becky's backyard is 60 feet wide and 45 feet long. How many yards in area is her backyard? Show how you found your answer. You may use pictures, words, and/or number sentences to explain your thinking.

  33. 33 Raymond's bill at the restaurant for his Grandmother and himself was $22.00. He wants to leave a 15% tip. How much should he leave?

  34. 34 Stamps cost 37 cents each. Alexia has $2.00 in cash. What is the greatest number of stamps she can buy?

  35. 35 Stan ran 3 7/8 miles in 3/4 hour. Julie ran 5.1 miles in 1 hour. Who ran the fastest average speed?

  36. 36 An object will float on water if its density is less than water's (1g/mL). Which of the following objects will float in water?A)  A rock with a mass of 50 grams and a volume of 54 mL.B)  A rock with a mass of 65 grams and a volume of 65 mL.C)  A piece of plastic with a mass of 30 grams and a volume of 25 mL.D)  A piece of plastic with a mass of 50 grams and a volume of 45 mL.

  37. 37 A swimming pool is being filled with water at a rate of 1 inch/minute. The owners started filling the pool at 6:00 a.m. What time was it when the water was 6 feet deep? A)   6:06 a.m.B)   7:00 a.m.C)   7:06 a.m.D)   7:12 a.m.

  38. 38 A snail travels 3 cm in 40 seconds. How far could the snail travel in 3 minutes?

  39. 39 In Germany, gas costs an average of $1.50 per liter. How many dollars would a gallon of gas cost in Germany? (1 US gallon = 3.78541178 liter)A)   $0.39 B)   $3.00 C)   $3.90 D)   $5.70

  40. 40 If an individual can run the 100 meter dash in 6.5 seconds, how many miles per hour can she run? (1 mile is about 1609 meters) A) 6.9 B) 290.5 C) 15.4 D) 34.4

  41. 41 The population of a city is about 350,000. Over the next year, the population increased 13%. What is the new population of the city? A) 455,000 B) 395,500 C) 350,013 D) 45,500

  42. 42 A store has a sale going on. A pair of jeans have been marked down from $35 to $28. Determine the percent that the jeans were marked down. A) 25% B) 20% C) 11% D) 7%

  43. 43 In 1938 the minimum wage was $0.25 and by 1997 it had increased to $5.15 per hour. Find the percent of increase for the minimum wage from 1938 to 1997. A) 4.9% B) 19.6% C) 95% D) 1960%

  44. 44 A sweater had an original price of $59. It was marked 30% off. There was a special sale on Sunday that gave customers an additional 20% off the sale price. What was the final price of the sweater before sales tax?

  45. 45 A teacher counts tests as 60% of a student's final grade and homework as 40%. If a student has an average of 90% of tests and 70% on homework, what percent will a student receive for their final grade? A) 82% B) 80% C) 78% D) 80.6%

  46. 46 In order for a student to earn an A in math class, they must have a 93% or better. The student has a 95% on tests and a 89% on homework. If the teacher counts tests as 70% of the grade and homework 30%, will the student receive an A in the class?

  47. 47 A bag holds the 26 letters tiles. Each tile is a different letter of the alphabet. If you choose 1 letter from the bag, what is the probability that you will choose a vowel?

  48. 48 Here are the annual salaries of all the employees of a small company: President: $110,000; Vice President: $60,000; Senior Professionals: $50,000; $48,000; $48,000; $44,000; Junior Professionals: $36,000; $36,000; $36,000; $32,000; Clerical Staff: $22,000; $18,000; $14,000. What are the mean, median, and the mode of the salaries of the employees of this company?

  49. 49 Bill is applying for a job at the video store and wants to know about how much money he can expect to make per hour. If the hourly wages of the current employees are $6.50, $7.20, $6.75, $7.40, $27.00, $27.00, $6.15, and $7.15, what measure of central tendency should he use to estimate typical hourly pay? A) Mean because it is not affected by extreme values. B) Median because it is not affected by extreme values. C) Mode because it is not affected by extreme values. D) There is not sufficient data to determine the mean, median or mode.

  50. 50 You have a spinner that has 6 equal parts that are numbered 1, 2, 3, 4, 5, and 6. You spin that spinner once. What is the probability that you will spin an odd number? A) 1/6B) 1/2C) 5/6D) 1/3

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