1. Warm-up Use the distributive property & simplify 1) 2(2x – 3) + 2x =
Answers
6x – 6
-2x2 + -4x + -2

2. Combining like terms
Like terms have the same variable to the same power
Reminder: terms are separated by a “+”
5x – 3x
5x + -3x 2x

3. Combining like terms 8x + x 9x 4x2 + 2 + 3x2 7x2 + 2 2(x + 4) – 5x

4. 2.8 Rates & Ratios
Rates & ratios are 2 ways that can be used to compare different numbers that have a relationship.
Rate
Compares 2 numbers that have 2 different units.
Expressed as “a/b”, read as “a per b”
$20/4 hrs. = $5 per hour
250 miles/10 gallons = 25 miles per gallon
Unit rate – for 1 unit, will have “per”

5. Using a rate
Examples –
Hair grows approx. 5 inches/year. How long would your hair grow if it wasn’t cut for 2 ½ years?
5(2.5) = 12.5 inches
You make $6.50 per hour. You work 38 hours this week. How much should you be paid before taxes?
38(6.5) = $247.00

6. Ratios Compares 2 numbers that have a similar unit. Written as
a/b
a:b
a to b
Read as “a to b”

7. Ratio example Panther soccer has 10 wins and 5 losses Win – loss ratio
# of games won/# of games lost = 10/5 = 2/1
For every 2 games they won, they lost 1 games.

8. Ratio example
Mrs. D’s math class as 24 girls & 10 boys. Write the simplified ratio of ladies to men.
24 young ladies/10 young men
12 girls/5 boys

9. Distributive property practice

10. Hand back quiz

11. Pencil & scratch paper out
Read silently or work on something silently when done with the test

14. Warm-up Check odds in the back of the book 5 minutes to do this
Questions?
On tonights homework – do not do #39-42