Download Algebra I – Word Problem Final Exam Review

Algebra I – Quadratic (x2) EQUATION Final Exam Review
Solve each equation.
1) (3n + 2) (n – 2) = 0
2) 16y2 – 8y = 0
ANSWERS:
1) ìï 2 üï
í2, - ý
ïî
3 ïþ
3)
2
x = x + 110
4)
2
8n + 4 = 12n
2) {0, 1/2}
3) {11, -10}
4) ìï 1 üï
í1, ý
îï 2 þï
5)
36x2 + 49 = 84x
6)
4y2 + 16y + 7 = 0
ì7ü
ï
5) ï
í ý
ï
î6ï
þ
ì
ü
6) ïí- 1 , - 7 ïý
îï 2 2 þï
7) ìï 5 üï
7)
2
49w – 25 = 0
8)
3
5d – 80d = 0
í± ý
ïî 7 ïþ
8) {0, -4, 4}
Algebra I – Word Problem Final Exam Review
Chapter 7
1) One number added to twice another number is 23. Four times the first number added
to twice the other number is 38. Find the two numbers.
a. Answer: 5 & 9
2) A youth group and their leaders visited Mammoth Cave. Two adults and 5 students in
one van paid $77 for the Grand Tour. Two adults and seven students in a second van
paid $95 for the same tour. Find the adult and student price of the tour.
a. Answer: Adults - $16 and Students - $9
3) Eric has 130 coins consisting of nickels and quarters. The coins combined value comes
to $15.90. Find out how many of each coin Eric has.
a. Answer: 83 Nickels and 47 Quarters
Chapter 8
4) The speed of light is 3 x 108 meters/second. If the sun is 1.5x 1011 meters from
earth, how many seconds does it take light to reach the earth. Express your answer in
scientific notation
a. Answer: 0.5 x 103  5 x 102
5) a) Write an expression to represent the perimeter
of the rectangle. (Express your answer as a
polynomial in simplest form!)
b) Write an expression to represent the area of the
Rectangle. (Express your answer as a polynomial in simplest form!)
Answer: a) 10x + 10
b) 5x2 + 17x – 14
Chapter 9
6) The area of a rectangle is x2 + 10x – 56. Find the length and width.
a. Answer: length is (x + 14) and width is (x – 4)
7) Find two consecutive even integers whose product is 168.
a. Answer: 12 and 14
or
-14 and -12
8) An object in launched directly upward at 64 feet per second (ft/s) from a platform 80
feet high. When will the object reach the ground?
(h = -16t2 + vt + s)
a. Answer: 5 seconds (-1 is not possible)
Chapter 11
9) Find the area and perimeter of a square whose sides measure 4 + 3 6 .
a. Answer:
P = 16 +12 6
A = 70 + 24 6