1. Warm up 15.8 miles 31,536,000 seconds 0.805 mph
Convert 1,000,000 inches to miles. (1 mi=5280 ft)
Convert 365 days to seconds
Convert 36 cm per second to miles per hour.
(1 in = 2.54 cm)
15.8 miles
31,536,000 seconds
0.805 mph

2. 4. Put the following equation in slope- intercept form (solve for y):
12x + 6y = -18
5. Solve the following equation for b: 10a – 2b = 16
6. Solve the following equation for x: 𝟑(𝒙−𝟒) 𝟓 = y + 21

3. Creating Equations

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

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

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

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

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

9. Example 3
You and 3 friends divide the proceeds of a garage sale equally. The garage sale earned $412. How much money did you receive?
$103 each

10. Creating Inequalities

11. Notations for Inequalities

12. Example 4
Juan has no more than $50 to spend at the mall. He wants to buy a pair of jeans and some juice. If the sales tax is 4% and the juice with tax costs $2, what is the maximum price of jeans Juan can afford?
x  $46.15

13. Example 5
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 ≥ hours

14. Example 6
Juan has no more than $50 to spend at the mall. He wants to buy a pair of jeans and some juice. If the sales tax on the jeans is 4% and the juice with tax costs $2, what is the maximum price of jeans Juan can afford?
The price of the jeans + the tax on the jeans + the price of the juice must be less than or equal to $50. So……..
x x + 2 ≤ 50
x ≤
Juan should look for jeans that are priced at or below $46.16

15. Example 7
Alexis 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?
h ≥ 1100
12h ≥ 700
h≥58.33
Alexis needs to work at least 58.5 hours to make enough money to save for her laptop

16. Worksheet: Lucy’s Linear Equations & Inequalities
Classwork
Worksheet: Lucy’s Linear Equations & Inequalities