Luttrell 2012
145
Basic Algebra
Final Exam 7, 8, 9, 10
Leave answers as exact or proper fractions (mixed numbers). Demerits given for not leaving
answer in correct form.
5. Solve for x:
a. 4x = -10
b. 4x - 3 = 7
c. 3(x + 2) = 9
6. Simplify:
a. (6x
3
+ 24x
2
) ÷ (3x)
b. - 6x
2
(2x + 5x
2
)
7. Simplify:
a. (x
3
+ 3x
2
) + (5x - 4x
2
)
b. (5x
3
- 4x) - (3x
3
- x)
8. Write a proportion for the similar triangles below. Solve for x.
14
x
8
2
14
9. Paul eats twice as fast as Nathan, who eats eats three times slower than Ms Luttrell. She
finishes eating her lunch in 12 minutes, how quickly does Paul eat?
Bonus (2 pts): An $56 sweater is on sale for $42. What is the percent of discount?
