PRACTICE
Homer has purchased a dozen donuts. Three of them are round with sprinkles, two of them
are bars with sprinkles, two of them are round glazed, and the rest are glazed bars.
(1) If Homer wants to select a
bar donut, how many possible
donuts can he choose from?
_______
(2) Given that Homer selects a bar
donut, what is the probability that
the one he chooses has sprinkles?
_______
PRACTICE
(3) A box contains 7 large red marbles, 5 large yellow marbles, 3
small red marbles, and 5 small yellow marbles. If a marble is drawn at random,
what is the probability that it is yellow, given that it is one of the large marbles?
_______
PRACTICE
(4) Mr. Flanders’ sock drawer contains black and white socks in both
short and long sizes. Out of the 14 pairs of black socks, 9 are short and the rest
are long. Out of the 10 pairs of white socks, 4 are short and the rest are long.
Mr. Flanders reaches into the drawer, feels around to find a short pair of socks,
and grabs a pair. What is the probability that the pair of socks he chooses is white? _______
PRACTICE
(5) Bart has peanut and regular M&Ms in his pocket. Of the 16 peanut
M&Ms in his pocket, 4 are blue, 6 are red, and the rest are green. Of the 12 regular
M&Ms in his pocket, 8 are blue, 1 is red, and the rest are green. If he reaches in
and feels around for a regular M&M, what is the probability that it’s green?
a) 1/4
b) 9/28
c) 7/24
d) 3/8
PRACTICE
(6) Lisa is trying to catch a fish at the pet store. There are 14 small
goldfish, 20 large goldfish, 24 small guppies, and 8 large guppies in a tank.
Given that she catches a small fish, what is the probability that it’s a guppy?
_______
PRACTICE
(7) Maggie found a bag full of random pieces to various games
in her closet. She found 17 checkers — 5 were black, and the rest were red.
She also found 15 poker chips — 9 were black, and the rest were red. Given
that she chooses a red piece, what is the probability that it’s a poker chip?
_______
PRACTICE
(8) Marge has cashmere and wool sweaters in her closet. Of the 10
cashmere sweaters, 7 are white and the rest are gray. Of the 15 wool sweaters,
6 are gray and the rest are white. If Marge reaches into her closet and feels around
to pull out a cashmere sweater, what is the probability that she pulls out a gray one?
PRACTICE
(9) Milhouse’s bookshelf consists of both hardcover and softcover books.
Of the hardcover books, there are 14 nonfiction and 25 fiction books. Of the
softcover books, there are 6 nonfiction and 45 fiction books. Given that Milhouse
picks a fiction book, what is the probability that it’s hardcover?
_______
a) 2/7
b) 7/8
c) 5/14
d) 25/39
PRACTICE
(10) A group of 3400 college students was surveyed about their
favorite sport. Of these students, 1200 chose football, 700 chose soccer,
500 chose baseball, 600 chose basketball, and 400 chose none of these.
What is the probability that a student’s choice was either soccer or baseball?
a) 1/2
b) 8/17
c) 7/17
d) 6/17
PRACTICE
(11) The chance of a tornado hitting Springfield next summer is 90%. The chance
of a tornado hitting Shelbyville is 70%. If the probability of each event is independent,
what is the chance that Shelbyville gets hit by a tornado and Springfield doesn’t?
_______
PRACTICE
(12) Ned is 80% likely to say “okie dokie” at least once a
day. What is the probability that he doesn’t say it two days in a row?
_______
PRACTICE
(13) On any given day, Homer is 40% likely to cause an accident
at the nuclear power plant at which he works. What is the probability that
Homer can make it through a five-day workweek without causing an accident? _______
PRACTICE
(14) Marge found an old loaf of bread in the pantry. In the loaf, there are
seven moldy slices and 14 fresh slices of bread. If she randomly selects two pieces of
bread to make a sandwich, what is the probability that both slices she selects are moldy? _______
PRACTICE
(15) Edna has a bag of 13 gumballs. Six are blue,
and the rest are pink. What is the probability she reaches
in and grabs a blue gumball, puts it back, then grabs a pink?
a) 7/26
c) 2/13
b) 5/26
d) 42/169
PRACTICE
(16) Lisa is deciding whether to play tennis or water polo this summer. She
is 30% sure she wants to play tennis. If she does play tennis, she has a 20% chance
of making the varsity team. If she plays water polo, she has a 60% chance of making
the varsity team. What is the probability that Lisa will play for any varsity team?
_______
PRACTICE
(17) Ralph will either bake cupcakes or cookies for his class’s Easter party.
If he bakes cupcakes, he is 10% likely to burn them. If he bakes cookies, he is 60%
likely to burn them. If the probability that he bakes cookies and doesn’t burn them
is 28%, what is the probability that he bakes cupcakes?
_______
PRACTICE
(18) Ralph may or may not study for his History test tonight. Currently, he’s 20%
sure that he will study. If he does study, he is 90% likely to pass the test. If he doesn’t study,
he is 30% likely to pass the test. What is the total probability that Ralph passes his test?
_______
PRACTICE
(19) Bart has called Milhouse to invite him over to play. Milhouse can
either go play or stay home to study for his test. If he decides to go play, he is 60%
likely to feel guilty about it afterwards. If he decides to study for his test, he is 5%
likely to feel guilty about it afterwards. If the probability that he decides to go play
and feels guilty is 42%, what is the probability that he decides to stay home to study? ______
REVIEW
Simplify each expression.
∙
(20)
(22)
REVIEW
REVIEW
÷
________
________
________
(23)
________
(24) Which of the following statements is FALSE?
a) (𝑥 − 1) is a factor of 3𝑥 + 7𝑥 − 10
b) 𝑥 − 144 has only one factor
c) (𝑥 − 3) is a factor of 𝑥 − 9
d) (𝑥 − 5) is equivalent to 𝑥 − 10𝑥 + 25
Solve each inequality. Graph your solutions on a number line.
(25) |3𝑥 − 9| − 1 < 17
REVIEW
(21)
(26)
(27) −2|𝑥 + 3| + 3 > −7
|𝑥 − 1| ≤ 3
Write a system of inequalities for each graph shown.
(28)
(29)
(30)
(31)
INEQUALITIES:
INEQUALITIES:
INEQUALITIES:
INEQUALITIES:
_______________
_______________
_______________
_______________
_______________
_______________
_______________
_______________
REVIEW
(32) Solve the system of equations.
𝑥 + 2𝑦 + 5𝑧 = −1
2𝑥 − 𝑦 + 𝑧 = 2
3𝑥 + 4𝑦 − 4𝑧 = 14
____________
REVIEW
(33) Anna charges $15 per hour to tutor Geometry and $10 per hour to tutor Biology. If she
tutors for a total of 14 hours and earns $170, how many hours did she spend tutoring in each subject?
GEOMETRY: _____________
BIOLOGY: _____________