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Algebra 1 Unit 10 Quest Review

Total questions: 40

Worksheet time: 1hrs 26mins

Name
Class
Date
1.

In this expression, the number 27 is called the (a)  

2.

When simplifying this square root, what is the largest perfect square that divides evenly into the radicand? 96\sqrt{96}  

a)

4

b)

9

c)

6

d)

16

3.

Simplify completely:

48\sqrt[]{48}

a)

434\sqrt[]{3}

b)

16316\sqrt[]{3}

c)

2122\sqrt[]{12}

d)

It is simplified

4.

Simplify

a)
b)
c)
d)
5.

109610\sqrt[]{96} =​ ​ (a)  

Choose from the below words

40640\sqrt[]{6}  

63563\sqrt[]{5}  

70670\sqrt[]{6}  

15515\sqrt[]{5}  

6.

Solve

a)

10

b)

8

c)

16

d)

4

7.

Solve: 23x+1+6=142\sqrt[]{3x+1}+6=14

x = (a)  

8.

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

a)

Permutation

1.

A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

b)

Combination

2.

The principal would like to assemble a committee of 8 students from the 12-member student council.

c)

Factorial

3.

Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

9.

An ordering of objects is a

(a)  

10.

A selection of objects from a group where order is not important

a)

Permutation

b)

Combination

c)

Probability

d)

Experiment

11.

How likely an event is to occur.

a)

Permutation

b)

Combination

c)

Probability

d)

Fundamental Counting Principle

12.

A possible ​ (a)   of an ​ (b)   is called an ​ (c)   .

Choose from the below words
result
experiment
outcome
13.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
14.

"The batting order for eight players on a 10 person team". Is this a permutation, combination, or neither?

a)

Neither

b)

Permutation

c)

Combination

15.

"The student body of 165 students wants to elect three representatives". Is this a permutation, combination, or neither?

a)

Combination

b)

Neither

c)

Permutation

16.
Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
a)
1
b)
3628800
c)
100
d)
1814400
17.

Four names will chosen randomly from a list of twenty entries to be in a group that travels to Europe. How many unique possibilities are there?

a)

80

b)

4,845

c)

116,280

d)

160,000

18.

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

a)

324

b)

4896

c)

816

d)

54

19.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
20.
What is the probability of flipping a coin and getting heads?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
21.
Determine the likelihood of the following event: 
Drawing a red card from a standard deck of cards
a)
1/2
b)
13/52
c)
1/4
d)
4/52
22.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
23.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
24.

What is the probability of rolling a cube and having it land as an odd number?

a)
3/4
b)
1/3
c)
1/2
d)
2/5
25.

The bar graph shows the results of spinning the spinner 200 times. What is the experimental probability of landing on a 3?

a)
b)
c)
d)
26.

Clara picks a marble at random, puts it back, and then picks another marble at random. (a)  

Choose from the below words
Dependent
Independent
27.

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent? (a)  

Choose from the below words
Independent
Dependent
28.
a)
1/2
b)
1/8
c)
1/3
d)
1/12
29.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)
9/49
b)
4/125
c)
1/10
d)
1/30
30.
How do you find compound probability?
a)
Multiply your probabilities
b)
Add your probabilities
c)
Divide your probabilities
d)
Subtract your probabilities
31.
An event that consists of two or more events
a)
 event
b)
dependent events
c)
experiment
d)
compound event
32.

In a standard deck of cards, where each card is chosen at random, what is the probability of the following:

P(Spade, Queen of diamonds) without replacement

33.

In a standard deck of cards, what is the probability of:

P(Four, Club, Red) with replacement

a)

1104\frac{1}{104}

b)

.01

c)

132\frac{1}{32}

d)

.0002

34.

184\sqrt{184} is equivalent to which expression?

(a)  

Choose from the below words

2462\sqrt{46}  

35.
In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?
36.

Fundamental Counting Principle:

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?


(a)  
Choose from the below words
60
180
23
12
126
37.

Simplify 108\sqrt{108}  


38.

Simplify  50\sqrt{50}  


39.

Match the following

a)

A possible result of an experiment

1.

Outcome

b)

Two events in which the outcome of one event DOES affect the outcome of the other

2.

Dependent Events

c)

An ordering of objects

3.

Permutation

d)

A selection of objects from a group where order is not important

4.

Combination

e)

How likely an event is to occur

5.

Probability

40.

Two events in which the outcome of one event DOES NOT affect the outcome of the other are (a)   events.