Framing Algebraic Statements

Q. Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find the present age of Aaron.

1. 3
2. 7
3. 2
4. 1

Q.

What is the full form of RHS in maths?

Q.

What is the expression for the statement : '$y$ is multiplied by $5$ and result is subtracted from $16$' ?

1. $-5y-16$
2. $16-5y$
3. $5y-16$
4. $5y$

Q.

Write an expression of the statement given below:

One-fourth of a number $x$ is added to one-third of a number $y$.

1. $\frac{1}{4}x-\frac{1}{3}y$
2. $\frac{1}{4}y+\frac{1}{3}x$
3. $\frac{1}{4}x+\frac{2}{3}y$
4. $\frac{1}{4}x+\frac{1}{3}y$

Q. Salma's age is five times the age of Sima.The sum of their ages is 12. Find the ages of both Sima and Salma.

1. 3, 15
2. 2, 10
3. 3, 16
4. 6, 16

Q. Cost of 1 kg of apples is ₹ $x$ then, what's the cost of 5 kg of apples?

1. $₹5x$
2. $₹x$
3. $₹5$
4. $₹1$

Q.

Write the algebraic expression for the statement

Take a number. Add $5$ to it and multiply by $6$

Q.

If Meenas present age is $k$ years, Answer the following:

(A) Her age after $7$ years.

(B) Her age $5$ years back.

Q. The sum of two consecutive even numbers is 10. Find both the numbers.

1. 4, 6
2. 2, 8
3. 7, 3
4. 9, 1

Q. Sita's age is x years, Rama is 5 years older than sita. Express Rama 's age in terms of $x$

1. x years
2. x + 5 years
3. x - 5 years
4. 5 years

Q.

In a $2$ digit number, the units place digit is $x$. If the sum of digits be $9$, then the number is $(10x–9)$. State whether the statement is true (T) or false (F).

1. True
2. False

Q. Solve the following riddle:
I am a number. Tell my identity!
Take me seven times over and add a fifty! To
Reach a triple century, you still need forty.

1. 30
2. 40
3. 60
4. 50

Q. Take a number ‘x’, multiply it by 5, and add 6 to the result. Finally, subtract another number, ‘y’ from the result. What is the final result?

1. 5x + y - 6
2. x + 5y + 6
3. 5x + 6 - y
4. 5x + 6y

Q. The number of rooms on the ground floor of a building is 12 less than twice the number of rooms on the first floor. If the first floor has an ‘x’ number of rooms, write an expression for the number of rooms at the ground floor.

1. 12 - 2x
2. 2x – 12
3. 12x - 2
4. 2 - 12x

Q. Write the correct equation of the statement given below:
A number divided by another number added to the product of the two numbers.

1. $xy-\frac{y}{x}$
2. $xy-\frac{x}{y}$
3. $\frac{x}{y}+xy$
4. $\frac{y}{x}+xy$

Q. Solve the equation 2z + 3 = 7 using trial and error method.
( 3 marks )

Q.

Question 64

Choose a letter x, y, z, p etc...., wherever necessary, for the unknown (variable) and write the corresponding expressions for the given statement:

Multiple of 5.

Q.

A taxi service charges a flat fee of $\$1.25$ and $\$0.75$ per mile. If Henri has $\$14.00$, which of the following shows the number of miles he can afford to ride in the taxi?

Q.

You are taking some friends for movie and want to treat them with Pizza. The cost of the movie ticket is $₹120$ and the pizza costs $₹30$. Let $n$ represent the number of friends, then

(a) Write an expression for the total amount you will spend.

(b) if $n=5$, what will be your total expenditure?

Q. If we multiply a number with 3 and add 2 to the product, the number obtained is 4 times the original number. Find the number.

1. 5
2. 9
3. 2
4. 6

Q.

Convert into algebraic expression: $b$ is multiplied by $50$.

Q.

Write the the phrases using symbols

$5$ more than $x$

Q. In a fishing tournament, Jamie caught a total of 200 fish in 5 days.
The number of fish caught on each day was 8 more than the day before.
Find how many fish did Jamie catch on the $1^{st}$ day of the tournament?

1. 25
2. 32
3. 40
4. 24

Q.

Samar bought only five packets of rice and $1kg$ of sugar from a supermarket. If the total weight of the groceries is $11kg$, then find the weight of each packet of rice.

1. $1kg$
2. $2kg$
3. $3kg$
4. $4kg$

Q. The age of a man is 24 years more than the age of his son. If the sum of their ages is 50 years, find the age of the son and his father

1. 13 years and 37 years
2. 11 years and 39 years
3. 10 years and 40 years
4. 15 years and 35 years

Q. What's the expression for the given statement?

The sum of 6 times q and one fourth of p.

1. $6q$
2. $\frac{p}{4}$
3. $6q$ + $\frac{p}{4}$
4. $6q$ - $\frac{p}{4}$

Q.

What Is The Serial Key Of Adobe Photoshop Lightroom 5.7.1?

Q. Match the following with their equivalent expressions.

1. $\frac{x}{2y}$
2. 3x
3. x + 2y
4. y - 3

Q. The sum of two numbers is 11. If one of the numbers exceeds the other by 9, find out both the numbers.

1. 1, 10
2. 12, 13
3. 5, 14
4. 9, 16

Q.

The missing member $x$ in the ordered pair ($x,-8$) if the second member of the pair is four more than the first member is

1. $-4$

2. $-8$

3. $-12$

4. $4$