Name Number North Seattle College Math 084 Study Guide 1 PROBLEMS ANSWERS Simplify:

1. 20− − 10− 3 − 8 − 7

1.

Find the value of the expression when a is a −2.

2. 8− 6(3a− 1)

2.

3. Simplify:

13𝑥 − 7− 17𝑥 + 1

3.

4. Simplify:

6− 2 4𝑚 + 2 − 5

4.

For problems 5 –10, solve the linear equations.

5. 4x – 3 = 8x + 5

5.

6. !!𝑥 + !

!= !

!𝑥 − 1

6.

7. 7 – 3(y + 4) = 10

7.

8. !!8𝑥 − 12 = !

!(4𝑥 + 4)

8.

9. 18 = 3(2𝑥 − 2)

9.

10. 3 5𝑥 − 1 = 6 2𝑥 + 3 − 21

10.

11. Solve. 𝐹𝑖𝑛𝑑 𝑦 𝑖𝑓 𝑥 𝑖𝑠 − 5

4𝑥 − 5𝑦 = 20

11.

Solve the following formula for the indicated

variable.

12. 𝑉 = 𝜋𝑟!ℎ 𝑓𝑜𝑟 ℎ

12.

For problems 13-15, solve the inequalities and

graph the solution to the problem.

13. 8− 2𝑥 ≥ 0

graph___________________

13.

14. −0.3𝑥 + 0.7 < −2

graph______________________

14.

15. 2 3𝑚 + 1 + 6 > 5(2𝑚 + 4)

graph________________________

15.

16.

−4 < 6𝑥 + 1

graph________________________

16.

17. 𝑘 − 1 = 17 17.

18. 2 𝑥 + 3 − 4 = 6 18.

19. 7𝑎 − 14 = −21 19.

20. A barbeque grill is on sale for 25% of its original price. If the sale

price is $224.99, what is the original cost of the grill?

21. A small buisness makes decorative cookies. Each cookie cost

$0.65 to make and the buisness has overhead costs of $425 per

month. They charge their customers $1.50 for each cookie. How many

cookies must they sell in a month to break even?

22. Two pieces of lumber are needed to make a path for a garden bed.

If the one piece is 2 feet more than another, and the total length of

the board is 12 feet, how long should each piece be?