Formation of Algebraic Expressions

Q.

$3$ years ago, the age of a boy was $y$ years. His age $2$ years ago was $(y–2)$years State whether the statement is true (T) or false (F).

1. True
2. False

Q. Express 7776 in exponential form.

Q.

Rajus fathers age is $2$ years more than $3$ times Rajus age. If Rajus present age is $y$ years, then what is his fathers age$?$

Q. Form an algebraic expression: $y$ is multiplied by $4$ and then $25$ is subtracted from the product.

1. $4x-25$
2. $4y+25$
3. $4y-25$
4. $25y-4$

Q.

Manoj is $y$ years old now. What would be his age $5years$after?

Q.

Shrutis present age is $y$ years.

Shrutis grandmother is $6$ times her age. What is the age of her grandmother?

Q.

Arif ‘s present age is $y$ years. Find his mother’s age, who is $5$ years elder than twice of his age .

Q. Express 7776 in exponential form.

Q.

Arif s present age is $y$ years. Find his grandmothers age, whose age is $4$ times his age .

Q. Three times the sum of twice a number and four is eighteen. Find the number.

Q. Frame the equation from the following statement: Seven times m plus 7 gives 77

1. 7 + m = 77
2. 7m = 77
3. 77m + 7 = 77
4. 7m + 7 = 77

Q. If your brother is $y$ years old and you are $5$ years younger than he is, then you are years old.

1. $y+5$
2. $y-5$
3. $5y$

Q. Express 7776 in exponential form.

Q.

Manoj is $y$ years old now. What would be his age $5years$ago?

Q.

Let Ruhis age be $yyears$. Ruhis grandmother is $6times$ her age. Whats her grandmothers age?

Q. The length of a rectangle is 3 cm more than its breadth. The perimeter of the rectangle is 30 cm.

Q. Miller cuts a stick into four pieces as shown in the figure given below. What is the length of the stick that is left with him?

Q. Which of the following equations is correct representation of following statement.
"One fifth of a number is 10 less than the number."

1. $\frac{x}{5}=x-10$
2. $x=\frac{x}{5}-10$
3. $x+10=\frac{x}{5}$
4. None of the above

Q.

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

If the number of digits formed is taken to be 'n', the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern. How many segments are required to form 5, 10, 100 digits of the kind

Q. Five boys go to a store and each buys a notebook, an eraser, and a pen. Find an expression for the total cost (in dollars) if the price of a notebook is $\$x$, an eraser is $\$y$, and a pen is $\$z.$

1. $x+y+z$
2. $5x+y+z$
3. $5x+5y+z$
4. $5x+5y+5z$

Q. Samuel goes to the market and purchases $5$ chocolates and $7$ pastries. If the cost of $1$ chocolate is $\$x$ and the cost of $1$ pastry is $\$y$, then find the algebraic expression for the total cost (in $\$$) of these two items.

1. $5x\times 7y$
2. $7x+5y$
3. $5x+7y$
4. $5x-7y$

Q. A lifeguard earns ₹66 per hour. The correct equation representing the relationship is a=t
where,
t = Time (in hours)
a = Total earnings (in ₹)

1. 66
2. 6.6
3. 33

Q. Investment of a businessman along with his three siblings is given as:


The equivalent expression for the total investment (in ₹) is.

1. $\frac{7}{2}$x + 122
2. $\frac{9}{2}$x + 211
3. $\frac{7}{2}$x + 211
4. $\frac{5}{2}$x + 201

Q. A boy bought a painting book. $\$4$ more than three times the cost of a painting book is $\$58$. Find the cost of the painting book.

1. $15$
2. $17$
3. $51$
4. $18$

Q. Arpitas present age is thrice of shilpa. If shilpas age $3yr$ ago was $x$. Then, Arpitas present age is

1. $3(x-2)$
2. $3x+9$
3. $3x-9$
4. $3\left(x\right)$

Q. A student thinks of a number. If she takes away 6 from $\frac{7}{5}$ of the number, the result is 29. Find the number thought by the student.

Q. Subtract the following algebraic expressions.
$7$ from $-6$

1. $13$
2. $1$
3. $-1$
4. $-13$

Q.

Arif ‘s present age is y years. Find his father’s age, who is $2$ years elder than his mother, where his mothers age is $5$ years elder than twice of his age.

Q. Girish invested some money in a bank. After eight years his amount become triple. How many times of the original sum will the money becomes in $20$ years at simple Inerest?

1. $5times$
2. $6times$
3. $7times$
4. $8times$

Q.

If the price of 1 dozen bananas is ₹k, then which of the following is the correct equation for the given statement?

$\text{Statement:}$ Rahul had ₹200. He bought 4 dozen bananas and left with ₹75.

1. $4k–75=200$
2. $4k+75=200$
3. $4k=275$
4. $4\times 75+k=200$