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. Review HW

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. 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.

11. Missing Score
1. John’s scores on the first four test this semester were 87, 92, 76 and 89.
a. What does his score have to be on the fifth test so that his average is an 85?

12. Creating Inequalities

13. 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

14. 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

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

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