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Hotmath Practice Problems

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Title:
Hotmath Pre-Algebra
Author:
Hotmath Team
 
Free
Chapter:Operations, Expressions and VariablesSection:Variables and Expressions
 

Problem: 1

Classify the given expression as a numerical expression or a variable expression. Name the variable, if it is a variable expression.

b + 7

 

Problem: 3

Classify the given expression as a numerical expression or a variable expression. Name the variable, if it is a variable expression.

10 – n

 

Problem: 5

Write the simplest form of the given expression.

1.53 + 11.3

 

Problem: 7

Write the simplest form of the given expression.

0.4 8

 

Problem: 9

Find the value of the given expression when y = 3.

y + 21

 

Problem: 11

Find the value of the given expression when y = 3.

9 y

 

Problem: 13

Find the value of the given expression when m = 6.

4 + 7 + 5 + m

 

Problem: 15

Find the value of the given expression when n = 5.

10(n – 2)

 

Problem: 17

Find the value of the given expression when m = 6.

m m m m

 

Problem: 19

Evaluate the expression when x = 4.

(8 – x + 8) x

 

Problem: 21

Find the value of the expression when x = 6 and y = 2.

xy

 

Problem: 23

Find the value of the given expression when c = 5.3 and d = 2.

c d

 

Problem: 25

Evaluate the expression when a = 2 and b = 7.

(a + b) (b – 2a)

 

Problem: 27

Find the value of the expression when b = 5 and c = 8.

3bc (cb)

 

Problem: 29

Find the value of the expression when a = 2.4 and b = 8.4.

6ab(2b + a)

 

Problem: 31

Find the value of the given expression if a = 7, and c = 8.

 

Problem: 33

Find the value of the given expression if a = 7, b = 2 and c = 8.

 

Problem: 35

Transform the given phrase into an algebraic expression.

the quotient of seventy–five and c

 

Problem: 37

Convert the word phrase "7 times a number" to a variable expression.

 

Problem: 39

Convert the sentence " x less than 5 is equal to 10" to a mathematical equation.

 

Problem: 41

Convert the word phrase "a number m increased by 200" to a variable expression.

 

Problem: 43

For the given quantity, write an expression.

the number of months in x years

 

Problem: 45

A helicopter is flying at an altitude of m meters.

For the expression m + 25, write a word phrase.

 

Problem: 47

A helicopter is flying at an altitude of m meters.

For the expression 2m, write a word phrase.

 

Problem: 49

For the given algebraic expression form a verbal phrase.

28 – c

 

Problem: 51

For the given algebraic expression form a verbal phrase.

s 8

 

Problem: 53

For the given algebraic expression form a verbal phrase.

3b + 2

 

Problem: 55

Tom has x mangoes. If Sam has 35 fewer mangoes than Tom, write a variable expression for the number of mangoes Sam has.

 

Problem: 57

In a zoo, there are three times as many tigers as lions.

a) Find the number of tigers if there are x lions.

b) Find the number of lions if there are y tigers.

 

Problem: 59

Ruth and her family went out for a movie. She bought eight adult tickets at $5.75 each and three children's tickets at $3.25 each. Calculate the money she paid at the counter.

 

Problem: 61

If n is an even number, what can you say about ?

What must be true about n for to also be an even number?