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Unit 3: Module 3: Foundations

About this unit, topic a: foundations.

  • 2-step estimation problem: marbles (Opens a modal)
  • Unknowns with multiplication and division (Opens a modal)
  • Comparing areas and perimeters of rectangles (Opens a modal)
  • 2-step estimation word problems Get 3 of 4 questions to level up!
  • Find missing factors (1-digit multiplication) Get 3 of 4 questions to level up!
  • Find missing divisors and dividends (1-digit division) Get 3 of 4 questions to level up!
  • Compare area and perimeter Get 3 of 4 questions to level up!

Topic B & C: Foundations

  • Properties and patterns for multiplication (Opens a modal)
  • Intro to associative property of multiplication (Opens a modal)
  • Intro to commutative property of multiplication (Opens a modal)
  • Multiplying 1-digit numbers by multiples of 10, 100, and 1000 (Opens a modal)
  • Multiplying by tens word problem (Opens a modal)
  • Distributive property Get 3 of 4 questions to level up!
  • Basic multiplication Get 5 of 7 questions to level up!
  • Multiply 1-digit numbers by a multiple of 10, 100, and 1000 Get 5 of 7 questions to level up!
  • Multiply by tens word problems Get 3 of 4 questions to level up!

Topic D: Foundations

  • 2-step word problem: theater (Opens a modal)
  • 2-step word problem: running (Opens a modal)
  • 2-step word problem: truffles (Opens a modal)
  • 2-step word problems Get 3 of 4 questions to level up!
  • Represent 2-step word problems with equations Get 3 of 4 questions to level up!

Topic E: Foundations

  • Intro to distributive property (Opens a modal)
  • Distributive property explained (Opens a modal)
  • Division word problem: school building (Opens a modal)
  • The idea of division (Opens a modal)
  • Intro to division (Opens a modal)
  • Relate division to multiplication word problems Get 3 of 4 questions to level up!
  • Division with groups of objects Get 5 of 7 questions to level up!

Topic F: Foundations

  • No videos or articles available in this lesson
  • Divide by 2 Get 7 of 10 questions to level up!
  • Divide by 3 Get 7 of 10 questions to level up!
  • Divide by 4 Get 7 of 10 questions to level up!
  • Divide by 5 Get 7 of 10 questions to level up!
  • Divide by 6 Get 7 of 10 questions to level up!
  • Divide by 7 Get 7 of 10 questions to level up!
  • Divide by 8 Get 7 of 10 questions to level up!
  • Divide by 9 Get 7 of 10 questions to level up!

Topic G: Foundations

Topic h: foundations.

  • Multiply by 5 Get 5 of 7 questions to level up!
  • Multiply by 6 Get 5 of 7 questions to level up!
  • Multiply by 7 Get 10 of 14 questions to level up!
  • Multiply by 8 Get 10 of 14 questions to level up!
  • Multiply by 9 Get 10 of 14 questions to level up!
  • Texas Go Math
  • Big Ideas Math
  • Engageny Math
  • McGraw Hill My Math
  • enVision Math
  • 180 Days of Math
  • Math in Focus Answer Key
  • Math Expressions Answer Key
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CCSS Math Answers

Eureka Math Grade 6 Module 4 Lesson 25 Answer Key

Engage ny eureka math grade 6 module 4 lesson 25 answer key, eureka math grade 6 module 4 lesson 25 opening exercise answer key.

Opening Exercise:

Identify a value for the variable that would make each equation or inequality into a true number sentence. Is this the only possible answer? State when the equation or inequality is true using equality and inequality symbols.

a. 3 + g = 15 Answer: 12 is the only value of g that will make the equation true. The equation is true when g = 12.

b. 30 > 2d Answer: Answers will vary. There is more than one value of d that will make the inequality true. The inequality is true when d < 15.

c. \(\frac{15}{f}\) < 5 Answer: Answers will vary. There is more than one value off that will make the inequality true. The inequality is true when f > 3.

d. 42 ≤ 50 – m Answer: Answers will vary. There is more than one value of m that will make the inequality true. The inequality is true when m ≤ 8.

Eureka Math Grade 6 Module 4 Lesson 25 Example Answer Key

Each of the following numbers, if substituted for the variable, makes one of the equations below into a true number sentence. Match the number to that equation: 3, 6, 15, 16, 44.

a. n + 26 = 32 Answer: 6

b. n – 12 = 32 Answer: 44

c. 17n = 51 Answer: 3

d. 4 2 = n Answer: 16

e. \(\frac{n}{3}\) = 5 Answer: 15

Eureka Math Grade 6 Module 4 Lesson 25 Problem Set Answer Key

Find the solution to each equation.

Question 1. 43 = y Answer: y = 64

Question 2. 8a = 24 Answer: a = 3

Question 3. 32 = g – 4 Answer: g = 36

Question 4. 56 = j + 29 Answer: j = 27

Question 5. \(\frac{48}{r}\) = 12 Answer: r = 4

Question 6. k = 15 – 9 k = 6

Question 7. x . \(\frac{1}{5}\) = 60 Answer: x = 300

Question 8. m + 3 . 45 = 12 . 8 Answer: m = 9 . 35

Question 9. a = 1 5 Answer: a = 1

Eureka Math Grade 6 Module 4 Lesson 25 Exit Ticket Answer Key

Question 1. 7f = 49 Answer: f = 7

Question 2. 1 = \(\frac{r}{12}\) Answer: r = 12

Question 3. 1.5 = d + 0.8 Answer: d = 0.7

Question 4. 9 2 = h Answer: h = 81

Question 5. q = 45 – 19 Answer: q = 26

Question 6. 40 = \(\frac{1}{2}\)p Answer: p = 80

Eureka Math Grade 6 Module 4 Lesson 25 Division of Fractions Answer Key

Division of Fractions – Round 1:

Directions: Evaluate each expression and simplify:

Eureka Math Grade 6 Module 4 Lesson 25 Division of Fractions Answer Key 1

Question 1. 9 ones ÷ 3ones Answer: \(\frac{9}{3}\) = 3

Question 2. 9 ÷ 3 Answer: \(\frac{9}{3}\) = 3

Question 3. 9tens ÷ 3tens Answer: \(\frac{9}{3}\) = 3

Question 4. 90 ÷ 30 Answer: \(\frac{9}{3}\) = 3

Question 5. 9 hundreds ÷ 3 hundreds Answer: \(\frac{9}{3}\) = 3

Question 6. 900 ÷ 300 Answer: \(\frac{9}{3}\) = 3

Question 7. 9 halves ÷ 3 halves Answer: \(\frac{9}{3}\) = 3

Question 8. \(\frac{9}{2}\) ÷ \(\frac{9}{2}\) Answer: \(\frac{9}{3}\) = 3

Question 9. 9 fourths ÷ 9 fourths Answer: \(\frac{9}{3}\) = 3

Question 10. \(\frac{9}{4}\) \(\frac{3}{4}\) Answer: \(\frac{9}{3}\) = 3

Question 11. \(\frac{9}{8}\) ÷ \(\frac{3}{8}\) Answer: \(\frac{9}{3}\) =3

Question 12. \(\frac{2}{3}\) ÷ \(\frac{1}{3}\) Answer: \(\frac{2}{1}\) = 2

Question 13. \(\frac{1}{3}\) ÷ \(\frac{2}{3}\) Answer: \(\frac{1}{2}\)

Question 14. \(\frac{6}{7}\) ÷ \(\frac{2}{7}\) Answer: \(\frac{6}{2}\) = 3

Question 15. \(\frac{5}{7}\) ÷ \(\frac{2}{7}\) Answer: \(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Question 16. \(\frac{3}{7}\) ÷ \(\frac{4}{7}\) Answer: \(\frac{3}{4}\)

Question 17. \(\frac{6}{10}\) ÷ \(\frac{2}{10}\) Answer: \(\frac{6}{2}\) = 3

Question 18. \(\frac{6}{10}\) ÷ \(\frac{4}{10}\) Answer: \(\frac{6}{4}\) = 1\(\frac{1}{2}\)

Question 19. \(\frac{6}{10}\) ÷ \(\frac{8}{10}\) Answer: \(\frac{6}{8}\) = \(\frac{3}{4}\)

Question 20. \(\frac{7}{12}\) \(\frac{2}{12}\) Answer: \(\frac{7}{2}\) = 3\(\frac{1}{2}\)

Question 21. \(\frac{6}{12}\) ÷ \(\frac{9}{12}\) Answer: \(\frac{6}{9}\) = \(\frac{2}{3}\)

Question 22. \(\frac{4}{12}\) ÷ \(\frac{11}{12}\) Answer: \(\frac{4}{11}\)

Question 23. \(\frac{6}{10}\) \(\frac{4}{10}\) Answer: \(\frac{6}{4}\) = 1\(\frac{1}{2}\)

Question 24. \(\frac{9}{3}\) ÷ \(\frac{9}{3}\) = \(\frac{9}{3}\) ÷ \(\overline{10}\) Answer: \(\frac{6}{4}\) = 1\(\frac{1}{2}\)

Question 25. \(\frac{10}{12}\) \(\frac{5}{12}\) Answer: \(\frac{10}{5}\) = 2

Question 26. \(\frac{6}{4}\) ÷ \(\frac{6}{4}\) = \(\frac{6}{4}\) ÷ \(\overline{10}\) Answer: \(\frac{10}{5}\) = 2

Question 27. \(\frac{10}{12}\) ÷ \(\frac{3}{12}\) Answer: \(\frac{10}{3}\) = 3\(\frac{1}{3}\)

Question 28. \(\frac{10}{12}\) ÷ \(\frac{1}{4}\) = \(\frac{10}{12}\) ÷ \(\overline{10}\) Answer: \(\frac{10}{3}\) = 3\(\frac{1}{3}\)

Question 29. \(\frac{5}{6}\) ÷ \(\frac{3}{12}\) = \(\overline{10}\) ÷ \(\frac{3}{12}\) Answer: \(\frac{10}{3}\) = 3\(\frac{1}{3}\)

Question 30. \(\frac{5}{10}\) \(\frac{2}{10}\) Answer: \(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Question 31. \(\frac{5}{10}\) ÷ \(\frac{1}{5}\) = \(\frac{5}{10}\) ÷ \(\overline{10}\) Answer: \(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Question 32. \(\frac{1}{2}\) ÷ \(\frac{2}{10}\) = \(\overline{10}\) ÷ \(\frac{2}{10}\) Answer: \(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Question 33. \(\frac{1}{2}\) ÷ \(\frac{2}{4}\) Answer: \(\frac{1}{2}\) = 1

Question 34. \(\frac{3}{4}\) ÷ \(\frac{2}{8}\) Answer: 3

Question 35. \(\frac{1}{2}\) ÷ \(\frac{3}{8}\) Answer: \(\frac{4}{3}\) = 1\(\frac{1}{3}\)

Question 36. \(\frac{1}{2}\) ÷ \(\frac{1}{5}\) = \(\overline{10}\) ÷ \(\overline{10}\) Answer: \(\frac{5}{2}\) = 2\(\frac{1}{2}\)

Question 37. \(\frac{2}{4}\) ÷ \(\frac{1}{3}\) Answer: \(\frac{6}{4}\) = 1\(\frac{1}{2}\)

Question 38. \(\frac{1}{4}\) ÷ \(\frac{4}{6}\) Answer: \(\frac{3}{8}\)

Question 39. \(\frac{3}{4}\) ÷ \(\frac{2}{6}\) Answer: \(\frac{9}{4}\) = 2\(\frac{1}{2}\)

Question 40. \(\frac{5}{6}\) ÷ \(\frac{1}{4}\) Answer: \(\frac{10}{3}\) = 3\(\frac{1}{3}\)

Question 41. \(\frac{2}{9}\) ÷ \(\frac{5}{6}\) Answer: \(\frac{4}{15}\)

Question 42. \(\frac{5}{9}\) ÷ \(\frac{1}{6}\) Answer: \(\frac{15}{3}\) = 5

Question 43. \(\frac{1}{2}\) ÷ \(\frac{1}{7}\) Answer: \(\frac{7}{2}\) = 3\(\frac{1}{2}\)

Question 44. \(\frac{5}{7}\) ÷ \(\frac{1}{2}\) Answer: \(\frac{10}{7}\) = 1\(\frac{3}{7}\)

Division of Fractions – Round 2:

Directions: Evaluate each expression:

Eureka Math Grade 6 Module 4 Lesson 25 Division of Fractions Answer Key 3

Question 1. 12ones ÷ 2ones Answer: \(\frac{12}{2}\) = 6

Question 2. 12 ÷ 2 Answer: \(\frac{12}{2}\) = 6

Question 3. 12tens ÷ 2tens Answer: \(\frac{12}{2}\) = 6

Question 4. 120 ÷ 20 Answer: \(\frac{12}{2}\) = 6

Question 5. 12 hundreds ÷ 2 hundreds Answer: \(\frac{12}{2}\) = 6

Question 6. 1,200 ÷ 200 Answer: \(\frac{12}{2}\) = 6

Question 7. 12 halves ÷ 2 halves Answer: \(\frac{12}{2}\) = 6

Question 8. \(\frac{12}{2}\) ÷ \(\frac{2}{2}\) Answer: \(\frac{12}{2}\) = 6

Question 9. 12 fourths ÷ 3 fourths Answer: \(\frac{12}{3}\) = 4

Question 10. \(\frac{12}{4}\) ÷ \(\frac{12}{2}\) Answer: \(\frac{12}{3}\) = 4

Question 11. \(\frac{12}{8}\) ÷ \(\frac{3}{8}\) Answer: \(\frac{12}{2}\) = 4

Question 12. \(\frac{2}{4}\) ÷ \(\frac{1}{4}\) Answer: \(\frac{2}{1}\) = 2

Question 13. \(\frac{1}{4}\) ÷ \(\frac{2}{4}\) Answer: \(\frac{1}{2}\)

Question 14. \(\frac{4}{5}\) ÷ \(\frac{2}{5}\) Answer: \(\frac{4}{2}\) = 2

Question 15. \(\frac{2}{5}\) ÷ \(\frac{4}{5}\) Answer: \(\frac{2}{4}\) = \(\frac{1}{2}\)

Question 16. \(\frac{3}{5}\) ÷ \(\frac{4}{5}\) Answer: \(\frac{3}{4}\)

Question 17. \(\frac{6}{8}\) ÷ \(\frac{2}{8}\) Answer: \(\frac{6}{2}\) = 3

Question 18. \(\frac{6}{8}\) ÷ \(\frac{4}{8}\) Answer: \(\frac{6}{4}\) = 1\(\frac{1}{2}\)

Question 19. \(\frac{6}{8}\) ÷ \(\frac{5}{8}\) Answer: \(\frac{6}{5}\) = 1\(\frac{1}{5}\)

Question 20. \(\frac{6}{10}\) ÷ \(\frac{2}{10}\) Answer: \(\frac{6}{2}\) = 3

Question 21. \(\frac{7}{10}\) ÷ \(\frac{8}{10}\) Answer: \(\frac{7}{8}\)

Question 22. \(\frac{4}{10}\) ÷ \(\frac{7}{10}\) Answer: \(\frac{4}{7}\)

Question 23. \(\frac{6}{12}\) ÷ \(\frac{4}{12}\) Answer: \(\frac{6}{4}\) = 1\(\frac{1}{2}\)

Question 24. \(\frac{6}{12}\) ÷ \(\frac{2}{6}\) = \(\frac{6}{12}\) ÷ \(\overline{12}\) Answer: \(\frac{6}{4}\) = 1\(\frac{1}{2}\)

Question 25. \(\frac{8}{14}\) ÷ \(\frac{7}{14}\) Answer: \(\frac{8}{7}\) = 1\(\frac{1}{7}\)

Question 26. \(\frac{8}{14}\) ÷ \(\frac{1}{2}\) = \(\frac{8}{14}\) ÷ \(\overline{14}\) Answer: \(\frac{8}{7}\) = 1\(\frac{1}{7}\)

Question 27. \(\frac{11}{14}\) = \(\frac{2}{14}\) Answer: \(\frac{11}{2}\) = 5\(\frac{1}{2}\)

Question 28. \(\frac{11}{14}\) ÷ \(\frac{1}{7}\) = \(\frac{11}{14}\) ÷ \(\overline{14}\) Answer: \(\frac{11}{2}\) = 5\(\frac{1}{2}\)

Question 29. \(\frac{1}{7}\) ÷ \(\frac{6}{14}\) = \(\overline{14}\) ÷ \(\frac{6}{14}\) Answer: \(\frac{2}{6}\) = \(\frac{1}{3}\)

Question 30. \(\frac{7}{18}\) ÷ \(\frac{3}{18}\) Answer: \(\frac{7}{3}\) = 2\(\frac{1}{3}\)

Question 31. \(\frac{7}{18}\) ÷ \(\frac{1}{6}\) = \(\frac{7}{18}\) ÷ \(\overline{18}\) Answer: \(\frac{7}{3}\) = 2\(\frac{1}{3}\)

Question 32. \(\frac{1}{3}\) ÷ \(\frac{12}{18}\) = \(\overline{18}\) ÷ \(\frac{12}{18}\) Answer: \(\frac{6}{12}\) = \(\frac{1}{2}\)

Question 33. \(\frac{1}{6}\) ÷ \(\frac{4}{18}\) Answer: \(\frac{3}{4}\)

Question 34. \(\frac{4}{12}\) ÷ \(\frac{8}{6}\) Answer: \(\frac{4}{16}\) = \(\frac{1}{4}\)

Question 35. \(\frac{1}{3}\) ÷ \(\frac{3}{15}\) Answer: \(\frac{5}{3}\) = 1\(\frac{2}{3}\)

Question 36. \(\frac{2}{6}\) ÷ \(\frac{1}{9}\) = \(\overline{18}\) ÷ \(\overline{18}\) Answer: \(\frac{6}{2}\) = 3

Question 37. \(\frac{1}{6}\) ÷ \(\frac{4}{9}\) Answer: \(\frac{3}{8}\)

Question 38. \(\frac{2}{3}\) ÷ \(\frac{3}{4}\) Answer: \(\frac{8}{9}\)

Question 39. \(\frac{1}{3}\) ÷ \(\frac{3}{5}\) Answer: \(\frac{5}{9}\)

Question 40. \(\frac{1}{7}\) ÷ \(\frac{1}{2}\) Answer: \(\frac{2}{7}\)

Question 41. \(\frac{5}{6}\) ÷ \(\frac{2}{9}\) Answer: \(\frac{15}{4}\) = 3\(\frac{3}{4}\)

Question 42. \(\frac{5}{9}\) ÷ \(\frac{2}{6}\) Answer: \(\frac{10}{6}\) = 1\(\frac{2}{3}\)

Question 43. \(\frac{5}{6}\) ÷ \(\frac{4}{9}\) Answer: \(\frac{15}{8}\) = 1\(\frac{7}{8}\)

Question 44. \(\frac{1}{2}\) ÷ \(\frac{4}{5}\) Answer: \(\frac{5}{8}\)

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