# WRITING EXPRESSIONS WITH VARIABLES

## About "Writing expressions with variables"

"Writing expressions with variables" is one of the important basic stuff of algebra in math.

Students who would like to learn solving word problems in math must study this basic stuff.

## Writing expressions for the given verbal phrases

Let us see, how to write verbal phrase into expressions.

If there is any unknown value, in the given verbal phrase, replace it by some English alphabet.

## Writing expressions with variables - Practice questions

Question 1 :

Write the given verbal phrase into mathematical expression

"The sum of 5 times a number and 8"

5x + 8

Question 2 :

Write the given verbal phrase into mathematical expression

"2 times the sum of 7 times a number and 4"

2(7x + 4)

Question 3 :

Write the given verbal phrase into mathematical expression

"7 less than 4 times a number"

4x - 7

Question 4 :

Write the given verbal phrase into mathematical expression

"One fifth of sum of 3 times a number and 9"

( 3x + 9 ) / 5

Question 5 :

Write the given verbal phrase into mathematical expression

"One seventh of 3 less than 4 times a number"

( 4x - 3 ) / 7

Question 6 :

Write the given verbal phrase into mathematical expression

"5 times of a number is decreased by 8"

5x - 8

Question 7 :

Write the given verbal phrase into mathematical expression

"6 times of a number is increased by 15"

6x - 15

Question 8 :

Write the given verbal phrase into mathematical expression

"7 less than 3 times the sum of a number and 6"

3(x + 6) - 7

Question 9 :

Write the given verbal phrase into mathematical expression

"3 times the difference between a number and 8"

3(x - 8)

Question 10 :

Write the given verbal phrase into mathematical expression

"One fourth of 3 times the difference between a number and 6"

3(x - 6) / 4

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WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6