1. Unit 3: Solving Equations
Minds On
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?

2. 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

3. Unit 3: Solving Equations Lesson 5: More Word Problems
Worksheet Answers
n + 11 = 48 (n = 37)
n – 9
n3 = 48
n + 7 = 33 (n = 27)
n – 3 = 27 (n = 30)

4. Unit 3: Solving Equations Lesson 5: More Word Problems
Worksheet Answers
6. n – 18 = 19 (n = 37)
7. n(5) = 9 (n = 𝟗 𝟓 )
8. n – 9 = 32 (n = 41)
9. n2 = 11
10. n + 12 = 44 (n = 32)

5. Unit 3: Solving Equations Lesson 5: More Word Problems
Worksheet Answers
11. n – 17 = 15 (n = 32)
12. 𝟕 𝒏 =𝟑𝟖 (n = 𝟕 𝟑𝟖 )
13. n - 4 = 8 (n = 12)
14. n – 21 = 37 (n = 48)
15. n3 = 25

6. 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

7. Lesson 5: More Word Problems
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, times ÷
Division, quotient, over, out of, divide, split into parts, ratios =
Is, equals, results in ∴
therefore

8. 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?

9. 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.

10. Example 3: Find 3 consecutive numbers with a sum of 48.
Unit 3: Solving Equations
Lesson 5: More Word Problems
Example 3: Find 3 consecutive numbers with a sum of 48.

11. Example 4: Find two consecutive even numbers with a sum of 178.
Unit 3: Solving Equations
Lesson 5: More Word Problems
Example 4: Find two consecutive even numbers with a sum of 178.

12. Unit 3: Modeling Using 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?

13. 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.

14. 19. Find 3 consecutive numbers with a sum of 159.
Unit 3: Modeling Using Equations
Lesson 5: More Word Problems
19. Find 3 consecutive numbers with a sum of 159.

15. 21. Find two consecutive even numbers with a sum of 226.
Unit 3: Modeling Using Equations
Lesson 5: More Word Problems
21. Find two consecutive even numbers with a sum of 226.

16. Unit 3: Solving Equations Lesson 5: More Word Problems
Practice
Complete worksheet questions