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1st 6 Weeks 8th Math Review

Total questions: 55

Worksheet time: 3hrs 45mins

Name
Class
Date
1.

Which best decribes an irrational number?

a)

Any number that can be expresses as a fraction.

b)

A number that is a non-terminating, non-repeating decimal.

c)

A positive or negative whole number.

d)

The square root of any whole number.

2.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

3.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10-3

b)

9.5 x 10-5

c)

9.5 x 10-4

d)

9.5 x 10-6

4.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

5.

How do you write 8.7 x 10-1 in standard form?

a)

0.87

b)

8.7

c)

87

d)

0.087

6.

Which of the following has the greatest value?

a)

3.5 x 104

b)

2.1 x 106

c)

7.2 x 107

d)

9.9 x 105

7.

Which statement is correct?

a)

All integers are rational numbers.

b)

All irrational numbers are whole numbers

c)

A real number must be a rational number.

d)

A repeating decimal is an irrational number.

8.
Solve:
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
9.
Which of these shows the numbers in order from greatest to least?
a)
-2.65, -1.43, 0.16, 0.10, 0.07
b)
0.16, 0.10, 0.07, -1.43, -2.65
c)
0.16, 0.10, 0.07, -2.65, -1.43
d)
-2.65, -1.43, 0.07, 0.10, 0.16
10.
Write 7.8 x 10-3  in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
11.
Choose the best definition of the term INTEGERS...
a)
Whole numbers
b)
Negative numbers
c)
Negative Numbers and Positive Numbers
d)
Positive whole #s and their opposites and zero
12.
The correct order of number sets, from smallest to largest (not including irrational) is ________.
a)
Natural, whole, integer, rational, real
b)
Natural, integer, whole, rational, real
c)
Natural, rational, whole, integer, real
d)
Natural, whole, rational, integer, real
13.
x>3
a)
x is less than 3
b)
x is greater than 3
c)
x is less than or equal to 3
d)
x is greater than or equal to 3
14.
a)
A
b)
B
c)
C
d)
D
15.
6x + 4 = 2x + 24
a)
x = 4
b)
x = 5
c)
x = 6
d)
x = 7
16.
5 - 2x = 1 - 3x
a)
-4
b)
4
c)
12
d)
-7
17.
-2 + n = 3 - 4n
a)
1
b)
0
c)
-1
d)
2
18.
1 - 8n = 1 - 4n
a)
-15
b)
-9
c)
0
d)
12
19.

-3x + 7 = -2

a)

x = -27

b)

x = 27

c)

x = 3

d)

x = -3

20.
a)

x = - 30

b)

x = 30

c)

x = -12

d)

x = 12

21.

The product of n and 29 equals 23

a)

n - 29 = 23

b)

29n = 23

c)

(n + 29) = 23

d)

n + 29 = 23

22.

Dan rented a bike from Cody's Bikes. It cost $18 plus $2 per hour. If Dan paid $22, then he rented the bike for how many hours?


Choose the correct equation AND answer.

a)

22 - 18 = 2h

b)

2h - 18 = 22

c)

18 + 2h = 22

d)

2 hours

e)

7 hours

23.

Kim spent $33 on a magazine and some candy bars. If the magazine cost $5 and each candy bar cost $4, then how many candy bars did she buy?


Choose the correct equation AND the correct answer.

a)

33 = 5c + 4c

b)

5 + 4c = 33

c)

5c + 4 = 33

d)

3 candy bars

e)

7 candy bars

24.
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
25.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
26.
Joaquin has a $50 gift card from Pizza Palace.  All pizzas at Pizza Palace cost $7 each.  Joaquin wants to give the driver a $5 tip for delivering the pizza.  Which inequality could be used to determine the possible number of pizzas, p, he could order with his gift card, including the tip?
a)
     7p + 5 ≤ 50
b)
(7 + 5)p ≤50
c)
7p + 5 ≥ 50
d)
7p + 5 < 50
27.

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

a)

15c < 1800 + 10c

b)

15c > 1800 + 10c

c)

15c = 1800 + 10c

d)

10c < 1800 + 15c

28.
At the beginning of the year, Ethan has $800 in his savings account and Faith has $1,280 in her savings account.  Each month, Ethan deposits and additional $25 in his account, while Faith withdraws $15 from her account.  Write an equation to show after how many months will Ethan’s account have a greater balance than Faith’s account?
a)
800 - 25x  < 1280 - 15x
b)
800 + 25x < 1280 - 15x
c)
800 + 25x  > 1280 - 15x
d)
800 + 25x >  1280 + 15x
29.
A hockey season ticket holder pays $72.48 for all of her tickets plus $6 for a program each game. A second person pays $18.08 for a ticket to each game, but doesn’t buy programs.  Write an equation that shows when the two fans will pay the same amount.
In how many games will they have paid the same amount? 
a)
18.08 + 6x = 72.48x;  6 games
b)
72.48 + 6x = 18.08; 9 games
c)
72.48 + 6x = 18.08x; 9 games
d)
72.48 + 6x = 18.08x; 6 games
30.
Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.
a)
25 - 2.5d > 50 - 3.25d
b)
25 - 2.5d < 50 - 3.25d
c)
25 + 2.5d > 50 + 3.25d
d)
25 + 2.5d < 50 + 3.25d
31.
Which situation can be represented by the equation 
1500 - 50x = 2000 - 100x
a)
There are two water tanks in the city.  One tank has 1500 gallons and gains 50 gallons each hour.  The other tank has 2000 gallons and gains 100 gallons each hour.  When will the tanks have the same amount of water?
b)
There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and gains 100 gallons each hour.  When will the tanks have the same amount of water?
c)
There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and loses 100 gallons each hour.  When will the tanks have the same amount of water?
d)
There are two water tanks in the city.  One tank has 1500 gallons and loses 50 gallons each hour.  The other tank has 2000 gallons and loses 100 gallons each hour.  When will the bigger tank have more water?
32.
Andrew solved the equation 3x + 5 = 4x + 2.5 and found the answer to be x = 2.5.  Amanda says that he is wrong and the answer is x = 3.5.  which statement below is true? 
a)
Amanda is correct the answer is        x = 3.5
b)
Andrew is correct the answer is      x = 2.5 
c)
neither of the students are correct 
d)
both students are correct 
33.

Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at company P is less than the total charge at Company R?

a)

3.5 + 25x < 7.5 + 17x

b)

3.5 + 25x > 7.5 + 17x

c)

3.5x + 25 < 7.5x + 17

d)

3.5x + 25 > 7.5x + 17

34.
Select the situation that could be modeled by: 120 + 25x = 45x.
a)
John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
b)
George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
c)
Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?
d)
A cell phone company charges $25 for service and $120 per gigabyte.  Another company charges $45 per gigabyte.  For how many gigabytes would the price be the same?
35.
Solve.
.5x - 1 = .25x + 2
a)
x = 3
b)
x = -12
c)
x = 12
d)
x = -3
36.
Choose the situation that could represent the inequality:
25 – x < 15 + x
a)
Kasey has a gift card for $25. She buys a $15 CD and as many decals as she can buy with the rest of the gift card. How many decals can she buy?
b)
The school band has 25 people, and the theater class has 15 people. How many people must move from the band class to the theater class for the theater class to be as big or larger than the school band?
c)
A shirt is on sale for $25, but Garrett has a coupon for some money off.  His sister Grace buys 15 of the same shirt so he will never lose it.  How much does the shirt cost?
d)
Every time Ashley goes to Starbucks, it takes $4 off her $25 gift card.  Amanda uploads $15 more to her gift card.  How much does Amanda add to have more than Ashley?
37.
Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.
a)
30 + 20x < 15 + 30x
b)
30x + 20 < 15x + 30
c)
30 + 20x > 15 + 30x
d)
30x + 20 > 15x + 30
38.

After 4 students joined a class, the class has 32 students. Which equation can be used to find n, the number of students in the class before the new 4 students joined?

a)

n4 = 32\frac{n}{4}\ =\ 32

b)

n - 4 = 32

c)

4n = 32

d)

n + 4 = 32

39.

Jessica has a goal of walking at least 15 miles. She walks at a rate of 4 miles per hour. Which inequality can Jessica use to find h, the number of hours she should walk in order to meet or exceed her goal?

a)

4h ≥ 15\ge\ 15

b)

4h ≤ 154h\ \le\ 15

c)

h + 4 ≥ 15h\ +\ 4\ \ge\ 15

d)

h + 4 ≤ 15h\ +\ 4\ \le\ 15

40.
Which expression means:
15 miles less than Debbie
a)
d + 15
b)
d - 15
c)
15 - d
d)
15 + d
41.
Zoie completes a report by asking 70 students across campus. She found that 48% of CTMS students do not wash their hands after using the bathroom. What is the sample size?
a)
48
b)
100
c)
70
d)
CTMS students
42.
Manny wants to know how many students at CTMS enjoy solving math problems. What is the best sampling method?
a)
ask for 20 volunteers to discuss whether they enjoy solving math problems
b)
ask the last 20 people to arrive at CTMS 
c)
Randomly ask 2 students in the hallway
d)
Ask every 20th student that walks into school
43.

Biased or Random?


Audi wants to find out how students get to school at Menifee Elementary so she places the names of all students into a fish bowl and pulls out 50 so she can survey them.

a)

Biased

b)

Random

44.

Biased or Random?


Jameson and Brevon want to determine the most popular Basketball player in all of Menifee County so they poll everyone at lunch.

a)

Biased

b)

Random

45.

Biased or Random?


Cassandra and Isabella want to determine the favorite subject of all students in the middle school. So they place every middle school student's name in a bucket and choose 30 to poll.

a)

Biased

b)

Random

46.

List the following numbers from least to greatest:

√25 , -3.5, -64 , 6.666...

a)

-64 , -3.5 , √25 , 6.666...

b)

-3.5 , √25 , 6.666..., -64

c)

-3.5, -64, √25, 6.666...

d)

6.666, √25, -64, -3.5

47.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
48.

Which list has the numbers in order from least to greatest?

a)

−4, −94, 12, 3.7, 5-4,\ -\frac{9}{4},\ \frac{1}{2},\ 3.7,\ \sqrt{5}

b)

−4, −94, 12, 5, 3.7-4,\ -\frac{9}{4},\ \frac{1}{2},\ \sqrt{5},\ 3.7

c)

−94, 12, 3.7, 5-\frac{9}{4},\ \frac{1}{2},\ 3.7,\ \sqrt{5}

d)

−94, −4, 12, 5-\frac{9}{4},\ -4,\ \frac{1}{2},\ \sqrt{5}

49.
What is the first step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
50.
What is the second step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
51.
What is the third step when calculating the Mean Absolute Deviation?
a)
Find the distance each value is from the mean
b)
Find the mean of the distances
c)
Find the mean of the data
52.

Find the Mean Absolute Deviation: (MAD)

10, 9, 3, 8, 10.

a)

3

b)

5

c)

1

d)

2

53.
Find the Mean Absolute Deviation:  
5, 11, 2, 7, 16. 
a)
3.2
b)
2.8
c)
1.2
d)
4.2
54.
Which dot plot shows more variability? 
a)
a
b)
b
55.
Find the MAD:
58, 38, 54, 48, 26, 36
a)
43
b)
20
c)
10
d)
12

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