1. Warm-up – Separate piece of paper…turning in today!
Solve:
x + 9 = 4x – 3 + 3x
5(x – 3) + 4 = 2x – x
GET A CALCULATOR
GET PAPER AND PEN/PENCIL OUT FOR NOTES!!!

2. HOMEWORK QUESTIONS?

3. Solving Linear Inequalities
Unit 1-2

4. Definition Example: x + 2 < 5
Linear Inequality: a problem containing <, >, ≤, ≥, or ≠ instead of ‘=‘.
Example: x + 2 < 5

5. REMEMBER:
When solving an inequality, any time you multiply or divide by a negative number you must flip the inequality!

6. Solve the Inequality

7. Solve the Inequality

8. Solve the Inequality

9. YOUR TURN!

10. Inequality Word Problems
Samantha wants to rent a car for a vacation. Reasonable Car Rental advertises that their daily rental rate is $30 plus $0.25 a mile. If Samantha wants to spend at most $100 for the rental car, what is the maximum number of miles she can travel on her vacation?

11. Inequality Word Problems
Ryan works at a local television store. He gets paid $800 a month plus 25% commission on every television he sells. Find the total cost of televisions Ryan must sell in a month to earn at least $3500 a month.

12. YOUR TURN!
Travis decides to go bowling at the local bowling alley. He knows that shoes cost $3.50 and each game he plays is $ If Travis only has $20, what is the maximum numbers of games he can play?

13. x > 7 and 7 < x represent the same solution set?
QUESTION: Do the inequalities
x > 7 and 7 < x represent the same solution set?

14. If 5 + 3x = 17, then which equation is true?
A B. C. D.
2. Which expression does not simplify to a? (for a ≠ 0, for b ≠ 0)
A. (a ÷ b) ∙ b B. (a – b) + a + b C. (a ∙ b) ÷ b D. (a + b) – b
Bob has 3 times as much money as Amy has, and Sam has $5 more than Bob has. Bob, Amy, and Sam have a total of $75. Which equation can be used to find out how much money Amy has?
A. x + 3x + (x – 5) = C. x + 3x + (3x – 5) = 75
B. x + 3x + (x + 5) = D. x + 3x + (3x + 5) = 75
4. If the perimeter of the rectangle can be at most 100 feet, which inequality can be used to find the width?
A. w + (w + 5) ≤ C. w + (w + 5) ≥ 100
B. 2w + 2(w + 5) ≤ D. 2w + 2(w + 5) ≥ 100 w
w+ 5

15. Assignment
Pg. 94 #18-20 all & all