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Math Equivalence Problems and Puzzles

david-wilcox avatar
david-wilcox
65 diapositives · 770 Views · Nov 10, 2014

Solve math equivalence problems, distributive properties, simplify expressions, and tricky mathematical puzzles. Test your math skills here! Includes word problems and number sequences.

#math equivalence problems and puzzles #math equivalence problems and puzzles ppt #powerpoint #presentation
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Math Equivalence Problems and Puzzles
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  1. Which of the following are equivalent?A) -3 + (-6)B) -3 – 6C) 3 + 6D) -3 – (-6)E) 3 – 6F) -6 - 3

  2. Which of the following are equivalent?A) -3 + (-6) = -9B) -3 – 6 = -9C) 3 + 6 = 9D) -3 – (-6) = -3 +6 = 3E) 3 – 6 = -3F) -6 – 3 = -6 + -3 = -9

  3. Distribute:3(x + 4) =3(x – 4) = -3(x – 4) = -3(x + 4) =

  4. Simplify:3x + 12 + 2x – 5 =3x – 12 – 5x + 2 =

  5. Add one line to make this a true statement.5 + 5 + 5 = 550

  6. Add one line to make this a true statement.5 + 5 + 5 = 550(no, not ≠)

  7. Add one line to make this a true statement.5 + 5 + 5 = 550

  8. The nurse took Bobby’s temperature, which was 37.5C. This was 17.5C warmer than the temperature in the room. What was the room temperature?A) 17.5 B) 20 C) 37.5 D) 55 E) 98.6

  9. The nurse took Bobbie’s temperature, which was 37.5C. This was 17.5C warmer than the temperature in the room. What was the room temperature?A) 17.5 B) 20 C) 37.5 D) 55 E) 98.6

  10. The white keys on a piano are 2 cm wide. The black keys are 1 cm wide. If an octave has 7 white keys, and 5 black keys (all side by side), how wide is an octave?A) 5 B) 7 C) 10 D) 14 E) 19

  11. The white keys on a piano are 2 cm wide. The black keys are 1 cm wide. If an octave has 7 white keys, and 5 black keys (all side by side), how wide is an octave?7(2) + 5(1) = 14 + 5 = 19

  12. If j@k=jk-1, what is the value of 3@(2@1)?A) 6 B) 5 C) 4 D) 3 E) 2

  13. If j@k=jk-1, what is the value of 3@(2@1)?A) 6 B) 5 C) 4 D) 3 E) 22@1 = (2)(1) – 1 – 13@(2@1) = 3@1 = (3)(1) – 1 = 2

  14. Mr. Stein wanted Rachel to do some work for him. Rachel said “I’ll work for 10 days. Pay me $1 the first day, $2 the second, $4, the third day, $8 the 4th day, and so on.” How much did Rachel get paid for the 10th day?

  15. Mr. Stein wanted Rachel to do some work for him. Anthony said “I’ll work for 10 days. Pay me $1 the first day, $2 the second, $4, the third day, $8 the 4th day, and so on. How much did Rachel get paid for the 10th day?Day 48 Day 5  16 Day 6  32Day 7  64 Day 8  128 Day 9  256Day 10  512 (not bad for 1 days work!)

  16. All of the following can be written as the sum of two consecutive integers EXCEPT:A) 27 B) 30 C) 33 D) 37 E) 45

  17. I went to bed at 9:15p.m. (no, that never happens), and woke up at 6:00a.m, fully refreshed (no, that never happens either). How much sleep did I get?

  18. I went to bed at 9:15p.m. (no, that never happens), and woke up at 6:00a.m, fully refreshed (no, that never happens either). How much sleep did I get?From 9:15 to 6:15 would be 9 hours; 6:00 is 15 minutes less than this, or 8hours and 45 minutes

  19. I went to Home Depeaux and bought seven for $1.00, 37 for $2.00, 248 for $3.00, and 4335 for $4.00. What did I buy?

  20. A brand new CD has 3 songs on it. The songs are 3:15 , 4: 20, and 2:35 long. What is the total playing time of the three songs?

  21. A brand new CD has 3 songs on it. The songs are 3:15 , 4: 20, and 2:35 long. What is the total playing time of the three songs?Minutes:seconds3:15 4:202:359:70  10:10 (remember 60 seconds = 1 minute)

  22. To make dinner, Lian will have to preheat the oven for 10 minutes. The dish has to cook for 45 minutes, and it will take 15 min. to prepare the dish before it goes in the oven. It will need to stand for 10 min before serving. If dinner is to be ready at 6:30, what time does Lian need to start preparing?

  23. To make dinner, Lian will have to preheat the oven for 10 minutes. The dish has to cook for 45 minutes, and it will take 15 min. to prepare the dish before it goes in the oven. It will need to stand for 10 min before serving. If dinner is to be ready at 6:30, what time does Lian need to start preparing?6:30 – :10 = 6:20 (stand)6:20 – :45 = 5:35 (cook)5:35 - :15 = 5:20 (prepare)(the oven can preheat while he’s preparing the dish)

  24. If the 3rd Tuesday of the month is the 21st, what date is the second Friday?A) 10th B) 14th C) 17th D) 21st E) 24th

  25. If the 3rd Tuesday of the month is the 21st, what date is the second Friday?A) 10th B) 14th C) 17th D) 21st E) 24thSketch a calendar, and count backwards…Friday before is the 17thBefore that is the 10thBefore that is the 3rd2nd Friday must be the 10th…

  26. If m = -3 and n = 4, find:a) m + nb) –m + nc) m + -n

  27. If m = -3 and n = 4, find:a) m + n = -3 + 4 = 1b) –m + n = -(-3) + 4 = 7c) m + -n = -3 + -4 = -7

  28. All numbers that are divisible by both 3 and 5 are also divisible by 10. This is FALSE. Which of the following can be used to show that this is false.A) 15 B) 20 C) 25 D) 30 E) 40

  29. All numbers that are divisible by both 3 and 5 are also divisible by 10. This is FALSE. Which of the following can be used to that that this is false.A) 15 B) 20 C) 25 D) 30 E) 40A number divisible by 3 and 5 that is NOT divisible by 10 is A) 1525 is not divisible by 10, but it also is not divisible by 3

  30. Martha is putting cookies into packages for the football team. If she puts 5 in each package, she will make exactly 6 packages. If she puts 3 in each package, how many can she make?A) 5 B) 6 C) 10 D) 15 E) 18

  31. Martha is putting cookies into packages for the football team. If she puts 5 in each package, she will make exactly 6 packages. If she puts 3 in each package, how many can she make?A) 5 B) 6 C) 10 D) 15 E) 185 * 6 = 30 cookies  30 / 3 = 10

  32. How many different committees of three people can be formed out of a group of 5 people (gosh, let’s call them A, B, C, D, and E again!)A) 10 B) 15 C) 30 D) 60 E) 120

  33. How many different committees of three people can be formed out of a group of 5 people (gosh, let’s call them A, B, C, D, and E again!)A) 10 B) 15 C) 30 D) 60 E) 120This time, let’s list the groups:ABC ABD ABE ACD ACE ADEBCD BCE BDE CDE(note that ABC is the same as BAC, and we do’t need to list it (or count it) again

  34. Five runners–let’s call them A , B , C , D , and E–are in a race. In how many different ways can they finish if either A or B win the race?(assume no ties)A) 12 B) 15 C) 30 D) 48 E) 120

  35. Five runners–let’s call them A , B , C , D , and E–are in a race. In how many different ways can they finish if either A or B win the race?(assume no ties)A) 12 B) 15 C) 30 D) 48 E) 1202 * 4 * 3 * 2 * 1 = 48

  36. When does 11 + 2 = 1?(there are at least two possible answers)

  37. When does 11 + 2 = 1?(there are at least three possible answers)Hint: I’ll tell you in ten minutesor maybe next year

  38. When does 11 + 2 = 1?1) two hours past 11:002) two months past November3) 11 + 2 = 1 baker’s dozenany others?

  39. If the cost of 3 CDs is $15, what equation represents this cost?A) 3 + C = 15B) C + 15 = 3C) 15C = 3D) 3C = 15E) 3 / 15 = C

  40. If the cost of 3 CDs is $15, what equation represents this cost?A) 3 + C = 15B) C + 15 = 3C) 15C = 3D) 3C = 15E) 3 / 15 = C

  41. What expression represents the number of slices of pizza you have left from two eight-slice pizzas after you eat some?A) 2s + 8B) 2s - 8C) 2(8) - sD) 2(8) + sE) s – 2(8)

  42. What expression represents the number of slices of pizza you have left from two eight-slice pizzas after you eat some?C) 2(8) - syou have 2(8) slices to startyou eat “s” of them, meaning 2(8) reduced by s, or 2(8) - s

  43. What equation represents the phrase: “The quotient of a number and the difference of that number and 3 is the product of 7 and that number”A) (n-3) / 7n = nB) n / (n – 3) = 7nC) n / (n + 3) = 7nD) n / (7n) = n – 3E) n / (3n) = 7 - n

  44. What equation represents the phrase: “The quotient of a number and the difference of that number and 3 is the product of 7 and that number”A) (n-3) / 7n = nB) n / (n – 3) = 7nC) n / (n + 3) = 7nD) n / (7n) = n – 3E) n / (3n) = 7 - n

  45. What equation represents the phrase: “The sum of twice a number and 3 is 4 less than 5 times that number”A) 3n + 2 = 5n - 4B) 3(2n) = 4 – 5nC) 2n + 3 = 5n - 4D) 2n + 3 = 4 – 5nE) 5n – 2n = 3 – 5

  46. What equation represents the phrase: “The sum of twice a number and 3 is 4 less than 5 times that number”A) 3n + 2 = 5n - 4B) 3(2n) = 4 – 5nC) 2n + 3 = 5n - 4D) 2n + 3 = 4 – 5nE) 5n – 2n = 3 – 5

  47. Think PEMDAS…True or False: Addition is always done before subtraction. If false, give an example that shows it’s false.A) TrueB) False, 4 + 2 - 1C)False, 4 * 2 - 1D) False, 4 – 2 * 1E) False, 4 – 2 + 1

  48. Think PEMDAS…True or False: Addition is always done before subtraction. If false, give an example that shows it’s false.A) TrueB) False, 4 + 2 - 1C)False, 4 * 2 - 1D) False, 4 – 2 * 1E) False, 4 – 2 + 1Addition and subtraction are done together from left to right

  49. What is the least positive integer divisible by the numbers 2 , 4 , and 7?

  50. What is the least positive integer divisible by the numbers 2 , 4 , and 7? 7,14,21,28,35,42,49,56… 2 8