Download Solve #17 – 20 by using the best method for that

Name _______________________________
Score ___________
(HW #514) Algebra I Pre-AP – Practice Review for Test #502
For #1-2, Simplify the radical
1)
726
2)  5 405
For #3 - 5, find the value of the discriminant and the number and type of solutions.
3) x  7 x  8  0
4) x 2  8 x  16
5) 2 x 2  9  4 x
2
Discriminant: __________
Discriminant: __________
Discriminant: __________
# of Solutions: _______________
# of Solutions: _______________
# of Solutions: _______________
Nature (type) of solutions:
Nature (type) of solutions:
Nature (type) of solutions:
Solve #6 - 8 by using the square root method. Simplify any answer involving radicals.
2
6) x  28  108
7) 25 x 2  2  98
8) n  7   32
2
Solve #9 - 10 by completing the square. Simplify any answers involving radicals and if needed, give
decimal approximations to the hundredths place.
2
9) 3 x  24 x  108  0
10) x 2  4 x  77  0
Solve #11 - 12 by using the quadratic formula. Simplify any answers involving radicals and if needed, give
decimal approximations to the hundredths place.
2
11) 3x  4 x  4  0
12)  8 x  4 x 2  1
For #13 - 14, identify the best method for solving each quadratic equation. Do NOT solve.
13) 3 x  8  14 x
14) x 2  11  0
2
Method: ___________________________
Method: ___________________________
2
15) Identify the best method for solving. x  2 x  14 Then use that method to solve the equation
Method: _____________________
Answers to Practice Test:
1) 11 6
2)
3)
4)
5)
6)
7)
8)
 45 5
Discriminant = 17, 2 Real Solutions, Irrational
Discriminant = 0, 1 Real Solution, Rational
Discriminant = -56, No Real Solutions, Imaginary
x  4 5
x = 2, x = -2
n  7  4 2
9) x  4  2 13 (x ≈11.21, x ≈ -3.21)
10) x = -11, x = 7
2
, x = -2
3
84 5
12) x 
(x ≈ 2.12, x ≈ -0.12)
8
11) x 
13) Factoring Method
14) Square Root Method
15) Completing the Square Method, x  1  15