1. Warm up 1. Convert 5,400 inches to miles. (1 mi = 5280 ft) 2. Convert 16 weeks to seconds 3. Convert 36 cm per second to miles per hour. (1 in = 2.54 cm) 0.0852 miles 9,676,800 seconds 0.805 mph

2. Unit 1- Relationships Between Quantities Solving Equations and Inequalities from Verbal Statements

3. Consecutive Number Problems If the numbers are consecutive use: 1 st number = x 2 nd number = x + 1 3 rd number = x + 2 etc

4. Consecutive Number Problems If the numbers are consecutive ODD : 1 st number = x 2 nd number = x + 2 3 rd number = x + 4 etc

5. Consecutive Number Problems If the numbers are consecutive EVEN : 1 st number = x 2 nd number = x + 2 3 rd number = x + 4 etc

6. Example 1 The sum of 3 consecutive even numbers add up to 1002. Find the three numbers. 1 st 332 2 nd 334 3 rd 336

7. Example 2 The sum of 4 consecutive numbers add up to 4810. Find the four numbers. 1 st 1201 2 nd 1202 3 rd 1203 4 th 1204

8. Example 3 Zach has ½ the money of Nia. Nia has $20 less than Monika. If they total $90, how much does each person have?

9. Example 4 The length of a rectangle is 4 less than twice the width. If the rectangle has a perimeter no more than 82, what are the largest possible dimensions of the rectangle?

10. Creating Inequalities

11. Example 4 You earned an 80, 85, 92, 78 and 60 on 5 test grades. What would you need to score on the 6 th test to earn at least an 80 average? 85

12. Example 5 Juan has no more than $50 to spend at the mall. He wants to buy a pair of jeans and some juice. If the juice costs $2 plus a sales tax of 4%, what is the maximum price of jeans Juan can afford? x  $47.92

13. Example 6 Silvia is saving to buy a laptop that costs $1,100. So far she has saved $400. She makes $12 an hour babysitting. What’s the least number of hours she needs to work in order to reach her goal? x ≥ 58.33 hours