1. 1.3/1.7 Properties of Real Numbers & Solving Equations
Learning Goals:
create equations and inequalities in one variable and use them to solve problems

2. Real Numbers

3. Real Numbers…made real!

4. Real Numbers Assignment
Assignment will be posted on edmodo.
Essentially, you will create a diagram similar to the one on the previous slide to demonstrate your understanding of the relationship of real numbers in an abstract way.
You will have 1 week to submit it.

5. Vocabulary
open sentence : a mathematical sentence containing one or more variables
equation: a mathematical sentence stating that two mathematical expressions are equal
solution : a replacement value that makes an open sentence true

6. Vocabulary inverse operation: operation used to undo another operation
identity: an equation that is true for every real value of the variable
literal equation: an equation that uses at least two different letters as variables

7. Properties of Real Numbers
Property
Addition
Multiplication

8. Name the property illustrated by each expression

9. Multiplicative Inverse
Identify the additive inverse and multiplicative inverse for each number.
Number
Additive Inverse
Multiplicative Inverse
Ex 3 –7
Ex 4 5
Ex 5 ⅔

10. Ex 6
Solve the equation. Check your solution.

11. Ex 7
Solve the equation. Check your solution.

12. Is the equation sometimes, always, or never true?
Ex 8
Ex 9

13. Ex 10
Solve the equation for x and find any restrictions.

14. Ex 11
Solve the equation for x and state any restrictions.

15. Ex 12
Find F in terms of C.

16. Ex 13
Solve the equation for b.

17. With your partner discuss the problem.
Ex 14
You solve an equation and find that for a school trip you need 4.3 buses for the transportation. Explain how to interpret this solution.