1. Brett Solberg – AHS – ’11 – ‘12
Algebra II Ch 2 Review
Brett Solberg – AHS – ’11 – ‘12

2. Warm-up Solve for x and graph: 3 < 4x – 5 < 7 |2x – 3| < 7
Get out your homework and your notes.
Which problems do you want to review?

3. Today’s Agenda Review of Ch. 2 Game Announcements Test
Late Work/Missing Quizzes

4. Fraction Simplification Steps
1) Find a common denominator
2) Multiply that number to the numerator of all terms.
3) Solve
𝟏 𝟐 x + 𝟑 𝟒 = 𝟏 𝟑 x + 𝟓 𝟔

5. Decimal Simplification
Find the deepest decimal
Multiply all terms by the depth of the decimal
Solve
.003x = .9

6. Problem Solving Guidelines
Understand the Problem
Re-read the problem
Draw a picture
Break down the problem
Identify the final product
Define a variable
Develop and Carry Out a Plan
Set up an equation
Check that the equation matches the problem
Find the Answer and Check
Does the answer make sense?

7. Story Problem Example
A TV costs $600 after taking 25% off the original price. What is the original price?

8. Inequality Graphing Review
Less than
Greater than
< > use an open circle
≤ ≥ use a closed circle
x ≥ -1 x < 3

9. Inequality Solving Review
Solve like equations but flip the inequality sign when you divide both sides by a negative number.
Solve for x and graph
5 – 2x > 7

10. Solving For a Variable Solve like normal. Don’t be scared of letters.
P = 2l + 2w

11. Story Problems Inequalities
A car rents for $23.95 per day plus $.10 per mile. Your budget is $76. Within what mileage must you stay to remain in your budget?

12. Compound Inequalities
Solve for x and graph
-2 ≤ 3x + 4 ≤ 7

13. Steps to Solving Equations
1 – Isolate the absolute value
2 – Write a positive and negative solution
3 – Solve for x.
Solve |2x –1| +2 = 7
1 |2x –1| = 5
2 2x –1 = x –1 = -5
3 2x = 6 2x = -4
x = OR x = -2

14. Steps to Solving Inequalities
1 – Isolate the absolute value
2 – Write a positive and negative solution
**Reverse the sign of the negative solution**
3 – Solve for x.
Solve |2x –1| +2 < 7
1 |2x –1| < 5
2 2x –1 < x –1 > -5
3 2x < 6 2x > -4
x < OR x > -2

15. Review Game Call for attention 10 Questions White board Groups 3-4
3 points for a correct answer
5 points for 1st team with correct answer
4 points to 2nd team
-2 points for a wrong answer
White board
Rotate writers
Flip board over/ raise hand
Groups 3-4
Captain
Team Name

16. Question One
Solve for x
𝟏 𝟐 x + 𝟑 𝟒 = 𝟏 𝟑 x + 𝟐 𝟑

17. Question 2
Solve for x
.005x = 2

18. Question 3
The perimeter of a soccer field is 300 meters. The length is 20m longer than the width. What is the length and the width of the field?

19. Question 4
You invest $600 at a 4% interest rate. After 2 years, how much money will you have?

20. Question 5
Solve for x and graph
-2x -1 > 2

21. Question 6
Solve for r
A = π r2

22. Question 7
You can get paid in 2 ways: Plan A pays $500 + $9 per hour. Plan B pays $14 per hour. When is plan A greater than plan B?

23. Question 8
Solve for x and graph
-2 ≤ 3x + 4 ≤ 7

24. Question 9
Solve for x
|2x –1| +2 = 7

25. Question 10
|2x – 4| > 7