Worksheet given in this section will be much useful for the students who would like to practice problems writing algebraic expressions from word problems.
The following table will help us to learn some of the words (phrases) that can be used to indicate mathematical operations :
Addition
Multiplication

Subtraction
Division

Question 1 :
Write the algebraic expressions for the following :
Sum of x and twice y
Question 2 :
Write the algebraic expressions for the following :
Subtraction of z from y
Question 3 :
Write the algebraic expressions for the following :
Twice the sum of m and n
Question 4 :
Write the algebraic expressions for the following :
b is decreased by twice a
Question 5 :
Write the algebraic expressions for the following :
Sum of x squared and y squared
Question 6 :
Write the algebraic expressions for the following :
Two times the product of a and b divided by 5
Question 7 :
Write the algebraic expressions for the following :
Product of p and q added to 7
Question 8 :
Write the algebraic expressions for the following :
x more than twothird of y
Question 9 :
Write the algebraic expressions for the following :
Half a number x decreased by 3
Question 10 :
Write the algebraic expressions for the following :
Sum of numbers m and n decreased by their product
Question 11 :
Write the algebraic expressions for the following :
4 times x less than sum of y and 6
Question 12 :
Write the algebraic expressions for the following :
Double the sum of one third of a and m
Question 1 :
Write the algebraic expressions for the following :
Sum of x and twice y
Solution :
Twice y = multiply 'y' be 2 > 2y
Sum of x and twice y :
x + 2y
Question 2 :
Write the algebraic expressions for the following :
Subtraction of z from y
Solution :
Subtraction of z from y :
y  z
Question 3 :
Write the algebraic expressions for the following :
Twice the sum of m and n
Solution :
Sum of m and n = m + n
Twice = multiply by 2
Twice the sum of m and n :
2(m + n)
Question 4 :
Write the algebraic expressions for the following :
b is decreased by twice a
Solution :
Twice a = multiply 'a' by 2 > 2a
b is decreased by twice a :
b  2a
Question 5 :
Write the algebraic expressions for the following :
Sum of x squared and y squared
Solution :
Square of x = x^{2}
Square of y = y^{2}
Sum of x squared and y squared :
x^{2} + y^{2}
Question 6 :
Write the algebraic expressions for the following :
Two times the product of a and b divided by 5
Solution :
Two times the product of a and b = 2ab
Two times the product of a and b divided by 5 :
2ab / 5
Question 7 :
Write the algebraic expressions for the following :
Product of p and q added to 7
Solution :
Product of p and q = pq
Product of p and q added to 7 :
pq + 7
Question 8 :
Write the algebraic expressions for the following :
x more than twothirds of y
Solution :
Twothirds of y = (2/3)y
x more than twothirds of y :
x + (2/3)y
Question 9 :
Write the algebraic expressions for the following :
Half a number x decreased by 3
Solution :
Half a number x = (1/2) x
Decreased by 3 =  3
Half a number x decreased by 3 :
(x/2)  3
Question 10 :
Write the algebraic expressions for the following :
Sum of numbers m and n decreased by their product
Solution :
Sum of numbers m and n = m + n
Decreased by their product = mn
Sum of numbers m and n decreased by their product :
(m + n)  mn
Question 11 :
Write the algebraic expressions for the following :
4 times x less than sum of y and 6
Solution :
4 times x = 4x
Sum of y and 6 = y + 6
4 times x less than sum of y and 6 :
4x  (y + 6)
Question 12 :
Write the algebraic expressions for the following :
Double the sum of one third of a and m.
Solution :
One third of a and m = (1/3)a + m
Double = multiply by 2
Double the sum of one third of a and m :
2[(1/3)a + m]
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
You can also visit the following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
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 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