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Part 2
Study Guide Part 2
THS Algebra 1 CC Final Study Guide 2014-2015
Multiple Choice
Identify the choice that best completes the statement or answers the question.
6. Solve the equation using the quadratic formula or
by completing the square.
x 2 ! 8x ! 3 # 0
a. "4 $ 13
b. 8 $ 2 13
c. "8 $ 2 13
d. 4 $ 13
1. Factor: 9x 2 ! 12x ! 4
a. ! 3x ! 2 " 2
b.
c.
d.
2
! 3x " 2 "
! 3x ! 2 " ! 3x " 2 "
! 3x " 4 " ! 3x ! 1 "
2. Factor: 2c 2 " 3c " 2
a. ! 2c ! 1 " ! c " 2 "
b. ! 2c " 1 " ! c " 2 "
c. ! 2c " 1 " ! c ! 2 "
d. ! 2c ! 1 " ! c ! 2 "
3. Determine the GCF of the following expression:
16b 3 ! 40b
a. 8b
b. 8b 3
c. 4b
d. b
7. Solve by factoring: 3x 2 " 7x " 6 # 0
a. x # " 9 , 2
b. x # 3 , " 2
3
c. x # 9, "2
d. x # "3 , 2
3
8. Solve the equation x 2 ! 7x ! 4 # 0 using the
quadratic formula.
4. Factor the expression. 9x 2 " 64
a. ! 3x " 8 " ! 3x ! 8 "
b. 2 ! 3x " 8 "
a.
b.
c. ! 3x " 8 " 2
d. ! 3x ! 8 " ! 3x ! 8 "
5. Which expression could you use to solve
3x 2 ! 4x " 5 # 0?
c.
7!
d.
"7 !
a.
b.
c.
d.
"4±
3 2 " 4(3)(5)
3 2 " 4(4)("5)
4 2 " 4(3)("5)
2!3"
3±
33
33 , " 7 "
"7 !
33
2
33
2
7"
,
33
33
2
,
33
"7 "
2
10. Classify the polynomial 2y 4 " 5y 2 ! 4 and state its
degree.
a. trinomial, 3
b. binomial, 1
c. monomial, 9
d. trinomial, 4
2!4"
"4±
33 , 7 "
9. Identify the coefficients of k 6 " k 5 ! 5k 3 " 10
a. 1, -1, 5, -10
b. 14
c. 1, 0, 5, "10
d. 5, "10
2!3"
"3±
7!
3 2 " 4(4)("5)
2!4"
1
Study Guide Part 2
Short Answer
11. Factor: 4x 2 ! 20x ! 25
17. Solve by factoring: 3x 2 " x " 2 # 0
12. Factor: 2c ! 7c ! 6
18. Solve the equation x 2 ! 9x ! 3 # 0 using the
quadratic formula.
13. Determine the GCF of the following expression:
35b ! 40b 3
19. Identify the coefficients of 4k 6 " k 5 ! k 3 " 8
2
14. Factor the expression. 16x 2 " 25
20. Classify the polynomial 7y 5 " 2y 3 and state its
degree.
15. Solve using the quadratic formula: 2x 2 ! 4x " 5 # 0
16. Solve the equation using the quadratic formula or
by completing the square.
x 2 ! 16x ! 12 # 0
2