Unknowns in Algebraic Equation

Q.

The expression for degrees Fahrenheit is $\left(\frac{9}{5}C+32\right)$ where $C$ represents degrees Celsius. The temperature today is $5$ degrees Celsius more than yesterday. Write and simplify an expression for the difference in degrees Fahrenheit for these two days.

Q.

The cost of$7$ the shirts and$5$ a pair of trousers is$₹11,900$. Find the cost of$3$ shirts and$3$ pair of trousers, if the cost of a pair of trousers exceeds the cost of a shirt by$₹100$

Q.

Harish scored twice as many runs as Rahul. Together their runs fell $2$ short of a double century. How many runs did each score ?

Q. An unknown number is doubled and added to 50 to get 100. Which of the following is the unknown number?

1. 20
2. 25
3. 50
4. 10

Q. Two different unknown values can be represented by the same letter in two different algebraic equations.

1. False
2. True

Q. $\text{Find}x\text{, if}x+6=12$

1. 4
2. 5
3. 6
4. 7

Q. The speed of a car is 20 km/h for the first three hours and 30 km/h for the next "t" hours. Find the "t" value (in hours) if the total distance traveled by car is 150 km.

1. 2 hour
2. 3 hour
3. 4 hour
4. 5 hour

Q.

Akshay has sum of $Rsx$. She spent $Rs800$ on grocery, $Rs600$ on clothes and $Rs500$ on education and received as $Rs300$ as a gift. What amount of money (in Rs) left with him?

Q. If $3x+6=21$ , then x is

1. 3
2. 4
3. 5
4. 45

Q. In the algebraic expression, $4x-2=2$, the value of unknown is

1. $1$
2. $2$
3. $-1$

Q. With $\$92$ in his pocket, Robert headed to a park. He bought four ice creams and 25 candies. It costs $\$2$ for each candy. Now he left with the remaining balance of $\$30$. How much does each ice cream cost?

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