WRITE EACH PHRASE AS AN ALGEBRAIC EXPRESSION WORKSHEET

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.

Problem 1 :

Subtraction of z from y.

Solution

Problem 2 :

One-half of the sum of numbers x and y.

Solution

Problem 3 :

The number z multiplied by itself.

Solution

Problem 4 :

One-fourth of the product of numbers p and q.

Solution

Problem 5 :

Numbers x and y both squared and added.

Solution

Problem 6 :

Number 5 added to three times the product of numbers m and n.            Solution

Problem 7 :

Product of numbers y and z subtracted from 10.

Solution

Problem 8 :

Sum of numbers a and b subtracted from their product.

Solution

Problem 9 :

Arjun bought a rectangular plot with length x and width y and then sold a triangular part of it whose base is y and height is z. Find the area of the remaining part of the plot.

Problem 10 :

Amisha has a square plot of side m and another triangular plot with base and height each equal to m. What is the total area of both plots?

Problem 11 :

A taxi service charges $8 per km and levies a fixed charge of $50. Write an algebraic expression for the above situation, if the taxi is hired for x km

Problem 12 :

Shiv works in a mall and gets paid $50 per hour. Last week he worked for 7 hours and this week he will work for x hours. Write an algebraic expression for the money paid to him for both the weeks.

Problem 13 :

Sonu and Raj have to collect different kinds of leaves for science project. They go to a park where Sonu collects 12 leaves and Raj collects x leaves. After some time Sonu loses 3 leaves and Raj collects 2x leaves. Write an algebraic expression to find the total number of leaves collected by both of them.

Problem 14 :

A school has a rectangular play ground with length x and width y and a square lawn with side x as shown in the figure given below. What is the total perimeter of both of them combined together?

Problem 15 :

Find the perimeter of the figure given below

To translate words into an algebraic expression or equation, write the numbers and operations in the order they appear (working from left to right)

Problem 1:

5 more than 6 times a number

Solution

Problem 2 :

8 less than a number, divided by 3

Solution

Problem 3 :

8 times the cube of a number

Solution

Problem 4 :

The sum of the square of a number and 4

Solution

Problem 5 :

10 times the sum of a number and 9

Solution

Problem 6 :

18 fewer than half of a number

Solution

Problem 7 :

The quotient of 8 and twice a number

Solution

Problem 8 :

2 subtracted from the square of a number

Solution

Problem 9 :

Twice the quantity of number decreased by seven

Solution

Problem 10 :

The sum of three times the quantity of a number increased by six and half the same number.

Solution

Problem 11 :

A quarter of the square of a number

Solution

Problem 12 :

12 divided by the difference of a number and 2

Solution

Problem 13 :

The sum of 4 times a number and that same number cubed.           Solution

Problem 14 :

The product of the quantity x plus y and the quantity x minus y            Solution

Problem 15 :

If Rohit has 5xy toffees and Shantanu has 20 yx toffees, then Shantanu has _____ more toffees.

Solution

Problem 16 :

The unlike terms in perimeters of following figures are___________ and __________.

Solution

Problem 17 :

Find the perimeter of the shape given below,.

Solution

Problem 18 :

If (x²y + y² + 3) is subtracted from (3x²y + 2y² + 5), then coefficient of y in the result is ________.

Solution

Problem 19 :

Like terms in the expression n(n + 1) + 6 (n – 1) are ___________and ________.

Solution

Problem 20 :

The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?

(a) 2x + 16      (b) 6x + 9      (c) 8x + 3      (d) 8x + 12

Solution

Problem 21 :

The value of 3x² – 5x + 3 when x = 1 is

(a) 1     (b) 0     (c) –1     (d) 11

Solution

Problem 22 :

The side length of the top of square table is x. The expression for perimeter is:

(a) 4 + x      (b) 2x      (c) 4x       (d) 8x

Solution