1. Review of Section 1 Write as an algebraic expression
Five more than 8 times a number

2. Evaluate when x = 10
2) 7 + 5x

3. Write in interval notation and graph
3) {x| -1 < x ≤ 4}

4. Write in set-builder notation and graph
4) [-2, 5)

6. Operations with Read Numbers and Simplifying Algebraic Expressions
Chapter 1 Section 2
Operations with Read Numbers and Simplifying Algebraic Expressions

7. Absolute Value |a| Distance from 0 to a on the number line.
Positive value
Evaluate
| -4 |
| 3.5|
- | -2 |

8. Addition (+) + (+) = (+) ( - ) + ( - ) = ( - )
(+) + ( - ) = sign of larger value
subtract to get the number

9. Addition Examples
4 + 2 = 6
- 4 + (-3) = - 7
= 1
= -1

10. Try
-12 + (-14)
2 + (- 9)
4 + 6

11. Subtract Use the definition of subtraction
Add the opposite of the second number
Meaning, change the subtraction sign to addition and take the opposite of the second number

12. Subtraction
7 – 10
Change the – sign to addition and take the opposite of 10
so 7 + (- 10)
-7 – 10
Same as above: (- 10)

13. Example
- 7 – (- 10)
Change the subtraction sign to addition and take the opposite of – 10

14. Work the following
4a) (-14) 5) 5 + (-2) 6) 6 – 13 7) 5.1 – (-4.2)

15. Multiplication, Division
( + ) ( + ) = ( + ) • ( - ) ( - ) = ( + )
( + ) ( - ) = ( - ) •

16. Multiplication, Division
Like signs, answer is positive
Unlike signs, answer is negative +

17. Give the sign(+, -) of the answer
-3 + (-8)
-7 + 4
3 – 15
8 – (-10)
- 4 – 5
9(-10)
7) (-3)(-11) 8) (-4)(-2)(5) 9) 10) 11)

18. Answers - +
7) + 8) – 9) – 10) – 11) -

19. Evaluate
7) 7(-5) 8) (-6)(- 4) 9) -2(-3)(-5) 10) 11)
12) 13)

20. Order of Operations
14) 15)

21. Distributive Property
-2(3x + 5) distribute the -2
5(4x – 3) distribute the 5
4(7x – 3) – 10x distribute the 4 and simplify

22. Answers
- 6x – 10
20x – 15
18x + 12

23. Distributive Property
Simplify
5(4x – 3)
4(7x – 3) – 10x

24. Similar Terms Similar terms Same variable, same exponent
4x, 3x
4 pears, 3 pears
2 apple pies, 6 apple pies
Another example

25. Combine Similar Terms 4 apples + 3 apples
3 pears + 2 apples + 6 oranges + 2 pears
3 bags in which each bag has 4 bananas and 3 oranges.
Can you represent this another way?

26. Combining Like Terms
7x + 5x
8y – 3y
3x – 2y + 5x + 7y

27. Answers
12 x 5y
8x + 5y

28. Try
7x + 5x
5(3y – 3) – (6y + 2)

29. Vocabulary
Absolute Value
Opposites
Order of Operations
Similar terms