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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Equations and InequalitiesSection:Some Properties of Real Numbers
 

Problem: 1

Plot the given numbers on the number line. Find out which number is greater, and then use the symbol or to show the relationship.


Problem: 3

Plot the given numbers on the number line. Find out which number is greater, and then use the symbol or to show the relationship.

2.4, –0.7


Problem: 5

Plot the given numbers on the number line. Find out which number is greater, and then use the symbol or to show the relationship.


Problem: 7

Write the exponential form for the given expression.

Nine to the fourth power


Problem: 9

Write the exponential form for the given expression.

6 to the nth power


Problem: 11

Evaluate 54.


Problem: 13

Evaluate –45.


Problem: 15

Evaluate 63.


Problem: 17

Evaluate 29.


Problem: 19

Evaluate the expression:

15 + 25 – 8


Problem: 21

Evaluate the expression:

7 · 2 + 45 5


Problem: 23

Evaluate the expression:

14 – 4 · 21 6


Problem: 25

Find the sum of 42 and –9.


Problem: 27

Find the difference between –4 and 7.


Problem: 29

Find the product of 8 and –3.


Problem: 31

Find the quotient of –4 and –1/2.


Problem: 33

The lowest temperatures ever recorded in various cities are shown. List the cities in decreasing order based on their lowest temperatures. How many of these cities have a record low temperature above –30F?


Problem: 35

The heights of two buildings A and B are 1038 feet 1471 feet respectively. Convert the heights of both the buildings into yards, inches and miles.


Problem: 1

Plot the given numbers on the number line. Find out which number is greater, and then use the symbol or to show the relationship.


Problem: 3

Plot the given numbers on the number line. Find out which number is greater, and then use the symbol or to show the relationship.

2.4, –0.7


Problem: 5

Plot the given numbers on the number line. Find out which number is greater, and then use the symbol or to show the relationship.


Problem: 7

Write the exponential form for the given expression.

Nine to the fourth power


Problem: 9

Write the exponential form for the given expression.

6 to the nth power


Problem: 11

Evaluate 54.


Problem: 13

Evaluate –45.


Problem: 15

Evaluate 63.


Problem: 17

Evaluate 29.


Problem: 19

Evaluate the expression:

15 + 25 – 8


Problem: 21

Evaluate the expression:

7 · 2 + 45 5


Problem: 23

Evaluate the expression:

14 – 4 · 21 6


Problem: 25

Find the sum of 42 and –9.


Problem: 27

Find the difference between –4 and 7.


Problem: 29

Find the product of 8 and –3.


Problem: 31

Find the quotient of –4 and –1/2.


Problem: 33

The lowest temperatures ever recorded in various cities are shown. List the cities in decreasing order based on their lowest temperatures. How many of these cities have a record low temperature above –30 F?


Problem: 35

The heights of two buildings A and B are 1038 feet 1471 feet respectively. Convert the heights of both the buildings into yards, inches and miles.