there are 3 sisters, dina, michelle and juliette. dina is half as old as michelle and 3 years...

There are 3 sisters, Dina, Michelle and Juliette. Dina is half as old as Michelle and 3 years younger than Juliette. Write an expression to describe this situation. If their ages total 39, how old is each sister?

Unit 3: Solving Equations

Minds On

Unit 3: Solving Equations

Lesson 5: More Word Problems

Learning Goals

• I can create equations from word problems• I can solve equations that represent real life problems

Worksheet Answers

1.n + 11 = 48 (n = 37)2.n – 93.n3 = 48 4.n + 7 = 33 (n = 27) 5.n – 3 = 27 (n = 30)

Unit 3: Solving Equations

Lesson 5: More Word Problems

Worksheet Answers

6. n – 18 = 19 (n = 37)7. n(5) = 9 (n = 8. n – 9 = 32 (n = 41)9. n2 = 11 10. n + 12 = 44 (n = 32)

Unit 3: Solving Equations

Lesson 5: More Word Problems

Worksheet Answers

11. n – 17 = 15 (n = 32)12. (n = 13. n - 4 = 8 (n = 12)14. n – 21 = 37 (n = 48)15. n3 = 25

Unit 3: Solving Equations

Lesson 5: More Word Problems

Success Criteria

Read the problem. Read it again. And again. Underline what it is asking you to find out

Assign a variable (x) to the quantity you are trying to find out. (let X equal…..) Read the problem again.

Write an equation to represent the relationship between the quantities given in the problem

Answer the question Check the answer

Unit 3: Solving Equations

Lesson 5: More Word Problems

Symbol Commonly Used Words

+ Add, sum, plus, increase, more- Subtract, difference, minus, decreases,

less

X Multiply, product, of, timesDivision, quotient, over, out of, divide,

split into parts, ratios

= Is, equals, results intherefore

Unit 3: Solving Equations

Lesson 5: More Word Problems

Example 1: The ages of Diego and Eva total 13 years. Eva’s age plus three times Diego’s age is 25. How old is each person?

Unit 3: Solving Equations

Lesson 5: More Word Problems

Example 2: For two consecutive integers, the sum of the larger number and four times the smaller is 171. Find the integers.

Unit 3: Solving Equations

Lesson 5: More Word Problems

Example 3: Find 3 consecutive numbers with a sum of 48.

Unit 3: Solving Equations

Lesson 5: More Word Problems

Example 4: Find two consecutive even numbers with a sum of 178.

Unit 3: Solving Equations

Lesson 5: More Word Problems

10. The ages of John and Mary total 27 years. Mary’s age plus twice John’s age is 40. How old is each person?

Unit 3: Modeling Using Equations

Lesson 5: More Word Problems

13. For two consecutive integers, the sum of twice the larger number and three times the smaller is 242. Find

the integers.

Unit 3: Modeling Using Equations

Lesson 5: More Word Problems

19. Find 3 consecutive numbers with a sum of 159.

Unit 3: Modeling Using Equations

Lesson 5: More Word Problems

21. Find two consecutive even numbers with a sum of 226.

Unit 3: Modeling Using Equations

Lesson 5: More Word Problems

Practice

Complete worksheet questions 1 - 30

Unit 3: Solving Equations

Lesson 5: More Word Problems