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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?
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