1. “Anyone who stops learning is old, whether at 20 or 80. Anyone who keeps learning stays young.” – Henry Ford Warm=up

2. Chp. 2 sections 1 & 2 – real numbers Read pgs. 62-65 & take notes Answer w/complete sentences 1.What are real #s? 2.What is the real # line? 3.Draw a # line that goes from -15 to 15 4.Can a real # line contain fractions & Decimals? 5.Copy examples 1, 2, 4,5 6.What are the properties of Opposites? Write out. 7.Define absolute value & give 3 examples. Rd. pgs. 68-70 Answer w/complete sentences 1.Copy examples 2, 3 6 2.What are the properties of addition? Write them out. 3.Explain why adding 2 negative #s always results in a negative answer. Give 3 examples. 4.Explain why adding a positive & a negative # may result inn the answer being positive, negative, or zero. Give examples of each.

3. Subtraction of integers Subtraction rule: To subtract “b” from “a”, add the opposite of “b” to “a”. a – b = a + -b Examples 1) -4 – 3 = -4 + -3 = -7 2) 10 – 11 = 10 + -11 = -1

4. When an expression is written as a SUM, the parts that form the sum are the TERMS of the expression. -9 – x can be written as -9 + -x -9 and –x are terms of the expression

5. Expressions containing more than 1 subtraction can also be evaluated by “adding the opposite”. 3 – (-4) -2 + 8 = 3 + 4 + (-2) + 8 = 13

6. Simplify 8 + (-x + 1) 9 + -x The above expressions are EQUIVALENT expressions because they have the same value for each number represented by the variable.

7. PropertyStatementExample Opposite of a difference -(a – b) = -a + b -(5 – 3) = -5 + 3 = -2 Opposite of a sum -(a + b) = -a – b or –a + -b -(-8 + 5)= 8 – 5 = 3

8. Simplifying before evaluating Evaluate 7 – (2 – x) when x = -3 Use the opposite of a difference 7 – 2 + x Substitute -3 in for x 7 – 2 + -3 5 + -3 2

9. Try these 1.2 – (-6) – 7 = 2.-11 – (-12) + 1 = 3.2 – (4 – x) when x = 1 4.-x – (7 + 6) + 2 when x = 9

10. Try these 1.2 – (-6) – 7 = 2 + 6 - 7 = 1 2.-11 – (-12) + 1 = -11 + 12 + 1 = 2 3.2 – (4 – x) when x = 1 2 – (4 – 1) = -1 4.-x – (7 + 6) + 2 when x = 9 -9 – 13 + 2 = -20

11. How many terms? 1.7 – 4 2.-x + 3 3.7 – (x – 3) 4.2x + 5 – y

12. Joke of the day A Sunday school teacher asked her little children, as they were on the way to church service, "And why is it necessary to be quiet in church?" One bright little girl replied, "Because people are sleeping."

13. 2.4+/- matrices Matrix is a rectangular arrangement of numbers into rows & columns. Matrices – more than 1 matrix Entries – the numbers in the matrix. Two matrices are equal if the entries in corresponding positions are equal. To add or subtract matrices, you simply add or subtract the corresponding entries.

14. Name a matrix by its rows x columns, such as a 2 x 3 matrix

15. Lesson Quiz 1.15 – (-x) +7 when x = -6 2.-8 – (-5) –x when x = -3 3.[ 9 -4 ] – [6 6] [ 2 -4] [-2 -4] = Answers 1.16 2.0 3.[3 -10] [4 0]