Free Printable Comparing Real Numbers, Expressions, & Rates of Change

1.

Put in the symbol to make the statement true... $-17.5\ \ \ \ \ \ \ \ \ \ -\sqrt[]{121}$

a)

>

b)

<

c)

=

2.

Which list shows $\frac{19}{3},\ \sqrt{27},\ and\ 7.2$ in order from least to greatest?

a)

$\frac{19}{3},\ \sqrt{27},\ 7.2$

b)

$7.2,\ \sqrt{27},\ \frac{19}{3}$

c)

$\sqrt{27},\ \frac{19}{3},\ 7.2$

d)

$7.2,\ \frac{19}{3},\ \sqrt{27}$

3.

Which list shows the numbers $4\pi,\ \sqrt{115},\ \frac{13\pi}{5}$ in order from least to greatest?

a)

$4\pi,\ \sqrt{115},\ \frac{13\pi}{5}$

b)

$\frac{13\pi}{5},\ \sqrt{115},\ 4\pi$

c)

$\sqrt{115},\ 4\pi,\ \frac{13\pi}{5}$

d)

$\sqrt{115},\ \frac{13\pi}{5},\ 4\pi$

4.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

5.

between which two whole numbers is $\sqrt{23}$ ?

a)

22 and 24

b)

20 and 30

c)

4 and 5

d)

5 and 6

6.

$\sqrt{2}$ is between which two whole numbers?

a)

0 and 1

b)

1 and 2

c)

2 and 10

7.

Point B could represent which of the following numbers?

a)

√24

b)

√30

c)

√35

d)

√42

8.

a)

A, B, C

b)

B, C, A

c)

C, A, B

d)

A, C, B

9.

a)

A, B, C

b)

B, C, A

c)

C, A, B

d)

A, C, B

10.

Which list of numbers is in order from least to greatest?

A. 5/8, 9/16, 5/12

B. 5/12, 9/16, 5/8

C. 9/16, 5/12, 5/8

D. 9/16, 5/8, 5/12

a)

A

b)

B

c)

C

d)

D

11.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

12.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

13.

Which of these values is the GREATEST?

a)

63/7

b)

8.99

c)

450%

d)

-22

14.

Which set is in descending order?

a)

15% .45 9/10

b)

.45 15% 9/10

c)

9/10 15% .45

d)

9/10 .45 15%

15.

Order 3π, √ 10 , and 3.25 from greatest to least.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

16.

Order the following from greatest to least:

0.35, ⅜, 42%, ⅘, 0.2

a)

⅘, 42%, ⅜, 0.35, 0.2

b)

⅜, 42%, ⅘, 0.2, 0.35

c)

⅘, 0.35, ⅜, 42%, 0.2

d)

0.2, 0.35, ⅜, 42% ⅘,

17.

letter or symbol that takes place of a number

a)

variable

b)

coefficient

c)

terms

d)

numerical expression

18.

number beside the variable that implies multiplication

a)

exponent

b)

variable

c)

coefficient

d)

terms

19.

statement that asserts equality of 2 expressions

a)

evaluate

b)

inequalities

c)

equation

d)

verbal expression

20.

Which expression represents the phrase, the sum of three different numbers?

a)

3+x

b)

3x

c)

x+x+x

d)

x+y+z

21.

Which phrase represents the expression, $\frac{36}{x}$ ?

a)

36 times a number

b)

a number split into 36 equal groups

c)

36 taken from a number

d)

36 divided by an unknown number

22.

Which expression represents 13 subtracted from a number?

a)

x-13

b)

13-x

c)

3-x

d)

x-3

23.

Which phrase represents the expression, m+n²?

a)

a number added to a different number cubed

b)

2 times a number, added to itself

c)

a number increased by a different number squared

d)

a number times two different numbers

24.

Match each phrase to the math operation that it represents.

a)

decrease

1.

subtraction

b)

create equal groups

2.

division

c)

total

3.

addition

d)

product

4.

multiplication

25.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

26.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

27.

Evaluate 4y if y = 3

a)

7

b)

12

28.

Evaluate the expression below for x=16.

$\frac{x}{2}$

a)

32

b)

8

c)

14

d)

18

29.

Evaluate the expression given x=6, y=8, and z=3

$\frac{3y+x^2}{z}$

a)

20

b)

25

c)

18

d)

13

30.

The cost for bowling is $5 per player plus 45 per hour. What would be the cost for 5 players and two hours.

a)

$95

b)

$70

c)

$115

d)

$230

31.

Which is the "better buy"? A 12 ounce can of corn for $1.92 of a 20 ounce can of corn for $3.00?

a)

They are the same

b)

The 20 ounce can

c)

The 12 ounce can

32.

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

33.

Which is the slowest reading rate?

a)

3 pages in 9 minutes

b)

4 pages in 10 minutes

c)

5 pages in 13 minutes

d)

7 pages in 20 minutes

34.

$27.00 for 4 pizzas or $32.00 for 5 pizzas

Which is the better buy?

a)

$27.00 for 4 pizzas

b)

$32.00 for 5 pizzas

35.

$30 for 100 flyers or $65 for 250 flyers

Which is the better buy?

a)

$30 for 100 flyers

b)

$65 for 250 flyers

36.

480 stickers on 6 sheets or 120 stickers on 2 sheets

Which is the better buy?

a)

480 stickers on 6 sheets

b)

120 stickers on 2 sheets

37.

The 6th grade class is taking a field trip. There are 150 students for 5 buses. What is the unit rate for students per bus?

a)

3

b)

30

c)

⅓

d)

750

38.

Jason runs at a pace of 7 miles per hour and his friend runs at a pace represented by the equation y = 6x where y is distance in miles and x is time in hours. Who runs faster?

a)

Jason because he runs at a pace of 6 miles per hour.

b)

His friend because he runs at a pace of 6 miles per hour.

c)

Jason because he runs at a pace of 7 miles per hour.

d)

His friend because he runs at a pace of 7 miles per hour.

39.

Which panda was heavier when he was born?

a)

Mochi because he weighed 2 lbs

b)

Kappa because he weighed 2 lbs

c)

Machi because he weighed 5 lbs

d)

Kappa because he weighed 5 lbs

40.

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

a)

Brandi's luggage weighs more because it weighs 40 lbs per bag.

b)

Javier's luggage weighs more because it weighs 40lbs per bag.

c)

Brandi's luggage weighs more because it weighs 30 lbs per bag.

d)

Javier's luggage weighs more because it weighs 30 lbs per bag.

41.

Compare the rates that each rental store charges per hour.

a)

Water's Edge Rafts has a lower rate because they charge $6 per hour.

b)

Water's Edge Rafts has a lower rate because they charge $5 per hour.

c)

Ryan's Rafts has a lower rate because they charge $2.25 per hour.

d)

Ryan's Rafts has a lower rate because they charge $15.00 per hour.

42.

Which panda is growing faster?

a)

Mochi

b)

Kappa

c)

Mochi

d)

Jack Black

43.

Who has the greater rate of change?

a)

Smith has the greater rate of change with 5/4

b)

Harmon has the greater rate of change with 7/2

c)

Smith has the greater rate of change with 4/5

d)

They have the same rate of change.

44.

Who has the greater rate of change?

a)

Tyler has the greater rate of change with 2/3

b)

Aubri has the greater rate of change with 3/2

c)

Tyler has the greater rate of change with 3/2

d)

They have the same rate of change.

45.

Who has the greater rate of change?

a)

CJ has a greater rate of change with 13/2

b)

Holland has a greater rate of change with 6

c)

CJ has a greater rate of change with 2/13

d)

They have the same rate of change.

Comparing Real Numbers, Expressions, & Rates of Change

Total questions: 45

Worksheet time: 3hrs 26mins

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