WorksheetsComplete the Square, Circles and Prob Quiz
Total questions: 20
Worksheet time: 41mins
x2+ 6x - 4 = 36
x2 + 10x + ____
k2 − 12k + 23 = 0
Solve by completing the square.
x2−6x−59=0
x={±217+3}
x={±172+3}
x={±217−3}
x={±172−3}
Solve by completing the square.
x2−4x−5=0
x={−5, 1}
x={−1, 5}
x={−5, −1}
x={1, 5}
Does the point (4,5) lie on the circle whose center is (-2,-2) and radius 9?
yes
No
The point (-5,6) is on a circle with center (-1,3) write the equation of the circle
(x+1)2 + (y-3)2= 4000
(x+5)2 + (y-0)2= 25
(x+1)2 + (y-3)2= 25
(x-1)2 + (y+3)2= 25
Which translation, when applied to the center of the circle x2+y2=4, creates the congruent circle x2+y2+8x-10y+37=0?
Right 4 Up 5
Right 4 Down 5
Left 4 Down 5
Left 4 Up 5
You flip a coin and then roll a fair
six-sided die. The coin lands tails-up and
the die shows an odd number.
Independent
Dependent
You select a card from a standard shuffled
deck of 52 cards. You return the card,
shuffle, and then select another card. Both
times the card is a diamond. (Note that 13
of the 52 cards are diamonds.)
1 / 16 = 0.063
1 / 9 = 0.111
3 / 11 = 0.273
1 / 4 = 0.25
A basket contains eight apples and seven
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
Both pieces of fruit are apples.
1 / 12 = 0.083
28 / 55 = 0.509
7 / 26 = 0.269
64 / 225 = 0.284
You flip a coin twice. The first flip lands
tails-up and the second flip also lands
tails-up.
1 / 9 = 0.111
4 / 15 = 0.267
1 / 4 = 0.25
2 / 45 = 0.044
A bag contains 5 striped cubes, 3 dotted cubes, 4 white cubes and 3 red cubes. What is the probability of drawing a red cube, replacing it, and then drawing a white cube?
independent
dependent
