1. Warm up
Interpret the following: “The quotient of a number cubed and twelve plus twice a different number”
Solve for “m”: 22 = 5m + 7

2. Creating Equations

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

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

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

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

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

8. 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

9. Example 4
The length of a rectangle is 6 cm. more than the width. The perimeter is 32 cm. Find the dimensions.
11 cm. by 5 cm.

10. Creating Inequalities

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 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 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 ≥ hours

14. Example 7
A radio station is giving away concert tickets. There are 40 tickets to start. They give away 1 pair of tickets every hour for a number of hours until they have at most 4 tickets left for a grand prize. If the contest runs from 11:00 A.M. to 1:00 P.M. each day, for how many days will the contest last?
6 DAYS

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

16. Worksheet Linear Equations & Inequalities
Homework
Worksheet Linear Equations & Inequalities