1. Solving One
and Two Step
Equations
Multi – Step
Equations
Variables on
Both Side
Inequalities
Word
Problems
1pt
1 pt
1 pt
1pt
1 pt
2 pt
2 pt
2pt
2pt
2 pt
3 pt
3 pt
3 pt
3 pt
3 pt
4 pt
4 pt
4pt
4 pt
4pt
5pt
5 pt
5 pt
5 pt
5 pt

2. 5k – 7 = -52
K = -9

3. 2e = -2 5
e = -5

4. 4 = 2x – 7
x = 11/2

5. 5x- 9 = 3 3
x = 36/5

6. -2t = 22 11
t = -121

7. 4x + 5 = -3 3
x = -6

8. 6(y – 5) = 18
y = 8

9. 3(y – 7) = 27
y = 16

10. 5s + 4s = -72
s = -8

11. 4w – 3w + 2w = 24
w = 8

12. 3(2 + v) – 4v = v + 16
v = -5

13. 3(m + 5) – 6 = 3(m + 3)
All Real Numbers

14. 1/2y – y = 4 + 3/2y
y = -2

15. 5d + 9 – 4d = 51 – 5d
d = 7

16. 6r – 2(2 – r) = 4(2r – 1)
All Real Numbers

17. m <

18. 6w + 4 ≤ 5w + 4

19. 4y + 2 < 8y -(6y – 10) -4 4

20. –2 < 2r – 4 < 6 1 5

21. –1 < 2x + 3 < 5 -2 1

22. Jan wants to buy 3 yards of fabric at $3. 59 per yard for a blouse
Jan wants to buy 3 yards of fabric at $3.59 per yard for a blouse. She also wants to buy two yards of a different fabric for a skirt. If she wants to keep her total cost before tax under $20, which inequality could Jan use to find the maximum price per yard , p, that she could pay for skirt fabric?
2p – 3(3.59) < 20
(5 + p)(3.59) < 20
5p > 20
3(3.59) + 2p < 20
3(3.59) + 2p > 20

23. Mrs. Cisneros earns $400 per week if she works exactly 40 hours
Mrs. Cisneros earns $400 per week if she works exactly 40 hours. She earns $15 for each additional hour beyond 40 hours. Which inequality describes h, the number of additional hours she must work in order to earn at least $500 in 1 week?
h < 500
( )h > 500
( )h <500
h ≥ 500

24. David wants to have at least an 82 average in Math Models this six weeks. He made a 75 and a 96 on the first two tests. What does he need to make on the third test to receive at least an 82 average?
At least a 75

25. Richard sells used cars
Richard sells used cars. He makes $250 per week plus $200 for each car he sells. Because of Richards’s cost of living, he needs to earn $1250 per week to pay all of his extravagant bills. How many cars must he sell each week to accomplish this?
5 or more

26. In order for a student to be considered for a certain college grant, the combined income of the student’s parents must be less than $25,000. If F is the father’s income and M is the mother’s income, which sentence represents the conditions of the grant?
F + M < $25,000
2F < $25,000
F x M < $25,000
F + M > $25,000
2F + M > $25,000