2nd Nine Weeks
Midpoint Study Guide (1.1 – 5.2)Mrs. Austin
1) Data was collected as to how students commuted to school. Below are the results from 4 different schools. Please state if the form of transportation of walking is impossible, unlikely, equally likely, likely, or certain.
A) OGCESB) HHS
C)HMSD) HES
Part A: Which school is the most probable to walk?
Part B: Which school is the least likely to ride a bike?
Part C: Which school is neither likely nor unlikely to walk?
2) Roy has a bag of Jolly Ranchers. He has 12 apples, 6 grapes, 9 watermelons, and 8 strawberries in the bag. Without looking, he pulls out a piece of candy, records the candy, and places the piece back into the bag. If he does this 250 times, how many times could Roy expect to pull out a watermelon?
A. Exactly 72B. Close to 72, but probably not exactly 72
C. Exactly 64D. Close to 64, but probably not exactly 64
3) Jeff and Steve are going to play battle with each person rolling a die to determine who wins you must roll a higher number that the other person. Jeff wants to beat Steve in their first game so he analyzes the game.
Part A. Jeff needs to see what his chances are of winning this die game. What is the theoretical probability of Jeff winning?
A. B. C.
Part B. Jeff wrote down each result of their games. Their results are shown in the table below.
Jeff / SteveGame 1 / 5 / 6
Game 2 / 2 / 2
Game 3 / 4 / 3
Game 4 / 3 / 3
Game 5 / 6 / 2
Game 6 / 3 / 4
What is the experimental probability that Jeff won the most games?
A) 33%B) 30%
C) 50% D) 33.3%
4) Dennis owns a moving company. The table below shows the truck inventory.
12 foot trailers / 1520 foot trailers / 18
15 foot trailers / 12
If Dennis randomly grabs a set a keys, what is the probability that Dennis will select a 20 foot trailer. (round to the nearest hundredth)
- 33%B. 40%
C.27%D. 44%
5) Dana wanted to present a new way to pick a person’s name to be the captain of the soccer team. However many times you steal the ball, make a point, or just encourage another player that person’s name would go in the box that many times. There were 15 players on their team. 6 people had their name in the box. Cherie name wasn’t in the box since she wasn’t very aggressive. She didn’t think that is was very fair. Dana whose name was in the box thought that it was a good way to choose a captain.
Choose One….A. Dana
B. Cherie
In this situation is correct.
Choose One….A. Uniform
B. Non-Uniform
The probability model used to pick the next captain is an example of Probability model.
Choose One….A. 60%
B.
C.
The chance that Dana’s name will be pulled for the bag is
6) Outside of Wal-Mart there is a stuff animal machine. There are 25 Minions, 18 Chewbaccas, 15 elf on the shelf, 13 Mickey Mouse, 8 Donald Ducks, and 17 Snoopys. “Everyone will win!” is what the sign says on the front of the window. If Lolly plays the game, what are the chances that she will grab an elf, Donald Duck, or a Minion?
A.1/2B. 3/4
C.3/16D. 11/32
7) Nick spins a spinner below and rolls a letter cube. Answer the following probability scenarios.
A) P (even domino) and P (vowel)
B) P (a number divisible by 2) and P (a, b, or c)
C) P (a number not divisible by 3) and P (c, d, e, or f)
D) P (a number less than 6) and P (of a letter larger than b)
8) Henry has 2 questions on Mrs. Osborn’s multiple choice test that he cannot figure out. He decides that he will guess on those last 2 questions.
Select All the models that Henry could use to best represent the sample space for his outfit combinations.
9) Below is a tree diagram of cone and ice cream choices.
The diagram shows that there are a total of ______possible outcomes in the sample space.
The probability of selecting a cone of chocolate ice cream is ______. (Express answers as fraction, decimal, percent)
The probability of selecting a waffle cone with mint ice cream is ______. (Express answers as fraction, decimal, percent)
10) Use the images below and create a list, probability tree, and explain if you can create a probability table.
What is the probability of flower shirt and Capri shorts?
What is the probability of hat, flip flops, Capri shorts, and tank shirt?
What is the probability of shorts and glasses?
How many possible outcomes?
11) HMS PTA is selling shirts to raise money. The results are shown in the table below. Based on the data, what is the
probability that one of the workers will select a small or x-large shirt?
If the PTA ordered 560 shirts, how many shirts would you predict would be a size medium?
12)
13) Which Points on the number line will sum to zero?
14) Using the number line below, select all the expressions that could result in the distance from one point to another point.
□ A. The distance between point M and point J can be written as |M| - |J|.
□ B. The distance between point T and point M can be expressed as .
□ C. The distance between point J and point C can be written as .
□ D. The distance between and can be expressed as |C| + |T|
□ E. The distance between and can be expressed as |M| - |R|
15) |−6.5|−|2.3| 16) |14| − |−6|
19) Write an equation to best represent the number line below?
20) Which expression(s) are equivalent to: -8 + (3) SELECT ALL that apply.
□ A.
□ B.8 + 3
□ C.
□ D.
□ E.8 – 3
□ F.
21) a) 2.7 + (-3.5) + (-5.9)
b)
c) 5.3 + (2.6) + (-1.7)
22) What is the value of the following expression?
23) Analyze the fraction below and determine if the value is positive or negative.
(A)Positive / (B)
Negative
/ o / o
/ o / o
/ o / o
/ o / o
/ o / o
/ o / o
24) Which expression(s) are equivalent to -4(c + d)
I)
II)
III)
IV)
a) II onlyb) I only
c) I and IIId) IV only
25) Shawn was so excited to go dove hunting with his dad. They decided to play a game. In the game, they will keep score based on the number of shoots taken. When you miss a shot, you lose points. Shawn misses his first 8 shots. Her score after the first 8 shots is -40. Which operation was used to arrive at this answer?
A. -8 ● 5 C. 8 ● -5
B. 4 ● -10 D. -8 ● -8 ● -8 ● -8 ● -8
26) At the beginning of the football season, the value of a Tom Brady rookie card was valued at $125.79. Right now the value of the card has increased $62.25. What was the value, in dollars, of the card at the end of the month?
- $62.25C. $188.04
- $-63.54D. $63.54
27) Simplify the expression 150 ÷ (150 – 135) – 1 × 8.
A. 12B. 2
C. 57D. -8
28) Jim met with his banker yesterday. They decided to put together a chart for the money he made versus the money he spent from last week. The chart is shown below:
Monday / Tuesday / Wednesday / Thursday / FridayMoney Made $30.00 / Money Made $52.50 / Money Made $15.00 / Money Made $60.00 / Money Made $30.00
Money Spent $37.50 / Money Spent $30.00 / Money Spent $30.00 / Money Spent $22.50 / Money Spent $45.00
Part A:What is Jim’s account balance at the end of Monday?
- $-7.50C. $67.50
- $22.50D. $7.50
Part B: What is Jim’s balance at the end of the week?
- $187.50C. $165.00
- $22.50D. $30.00
29) Enter the value of the expression.
A.36.8C. 73.6
B.7.36D. 3.68
30) Sheena has $20.00 to spend on school supplies. The following table shows the price of each item in the school store. No sales tax is charged on these items.
Determine if Sheena can buy the combination of items with her $20.00.
SELECT ALL that apply.
□ 10 folders and 10 pens
□ 12 pens and 12 erasers
□ 2 pens and 8 notebooks
□ 6 folders and 14 erasers
□ 8 folders and 4 notebooks
31) Mrs. Jamison had 24 guests at her house for a party. Each guest brought one item.
- Two-thirds of the guests brought drinks.
- One- fourth of the guests brought a dessert.
- The rest of the guests brought chips.
How many guests brought chips?
A.2
B.20
C. 5
D. 4