Quadratics
x2-4x-45=0
9-5
x2-9x-5x-45=0
x(x-9)+5(x-9)=0
x+5=0
x-9=0
What is: x=5 x=9
x2+13x+40=0
5+8
x2+5x+8x+40=0
x(x+5)+8(x+5)
(X+8)=0 (x+5)=0
What is: X=-5 X=-8
√49
What is: 7
Ladder A 20 foot ladder is resting against the side of a house. The base of the
ladder is 4 feet away from the house. Approximately how high above the ground
does the ladder touch the house?
What is:
a2+42=202
a2+16=400
-16 -16
a2=384
√384
What is:19.6 ft
In how many ways can you arrange 4 of the letters in the word PANTHER?
What is: 840
x2-17x+72=0
8+9
x2+8x+9x+72=0
x(x+8)+9(x+8)=0
(x+9)=0 (x+8)=0
What is: x=-9 x=-8
x2+10x+24=0
4+6
x2+4x+6x+24=0
x(x+4)+6(x+4)
(X+6)=0 (X+4)=0
What is: X=-6 X=-4
√40
2√10
Multiple Choice What is the area of a right triangle with a leg length of 30 meters
and a hypotenuse length of 34 meters?
A. 180 m2 B. 200 m2 C. 220 m2 D. 240 m2
What is: D
In how many ways can you arrange the letters in the word FLOWERS?
What is: 7c7 5040
x2-3x-54=0
9-6
x2+9x-6x-54=0
x(x+9)-6(x+9)=0
(x+9)=0 (x-6)=0
What is: x=6 x=-9
x2-2x-35=0
x2+7x-5x-35=0
x(x-7)-5(x-7)=0
(x+5)=0 (x-7)=0
What is: x=7 x=-5
(√2)(√6)
√12
4 3
What is: 2√3
Multiple Choice What is the length of the hypotenuse of a right triangle with leg
lengths of 5 inches and 12 inches?
A. 11 inches B. 13 inches C. 15 inches D. 17 inches
52+122=c2
25+144=c2
√169
13
What is: B
Tell whether the events are independent or dependent and what the probability is.
You have bottles of 10 water and 10 bottles of juice in your refrigerator. You randomly
choose one, drink it, then randomly choose another.
Event A: You choose a bottle of water first.
What is: 10/20 and 10/19 and Dependent
3x2-8x+4=0
6+2
3x2+6x+2x+4=0
3x(x+2)-2(x+2)
(3x-2)=0 (x+2)=0
What is: x=-2 x=2/3
x2-36=0
x2-36=0
+36/x2
What is:x=6 x=-6
8√72
48√2
The given lengths are two sides of a right triangle. All three side lengths
of the triangle are integers and together form a Pythagorean triple. Find
the length of the third side and tell whether it is a leg or the hypotenuse.
30 and 40
What is:50; hypotenuse
TIC-TAC-TOE Woodrow wins a tic-tac-toe game 65% of the time when he chooses the first square and 32% of the time when his opponent chooses the first square. The player who plays first is chosen by a coin toss. What is the probability that Woodrow wins a given game?
What is: 48.5%
6x2-19x+15=0
10+9
6x2-10x+9x+15=0
2x(3x-5)+3(3x-5)=0
(2x+3)=0 (3x-5)=0
What is: x=3/2 x=5/3
x2+2x-63=0
9-7
x2+9x-7x-63=0
x(x+9)-7(x-9)
(x+7)=0 (x-9)=0
What is: x=-7 x=9
√25y10
What is: √5y5
The given lengths are two sides of a right triangle. All three side lengths
of the triangle are integers and together form a Pythagorean triple. Find
the length of the third side and tell whether it is a leg or the hypotenuse.
70 and 250
What is: 240;leg
Tell whether the events are independent or dependent and what the probability is.
A shelf contains 50 travel books, one for each state. You randomly choose a book
and put it back. Then you randomly choose another book.
Event A: You choose the Alaska book first.
Event B: You choose the Hawaii book second.
What is: 1/50 and Independent