Inverse of Multiplication in an Algebraic Equation

Q.

From the sum of $-70$ and $-75$ subtract $-98$

Q.

At the place, the temperature at $12$ noon was $1°C$ but at midnight that day, it fell down to$-4°C$. By how many degrees did the temperature fell?

Q.

Subtract the sum of $9$ and $-35$ from the sum of $-45$ and $-65$

Q. If the sum of three consecutive integers is $75$, then the largest of the three integers is

Q.

When integer $a$ is divided by $5,$ the remainder is $2$. When integer $b$ is divide by $5,$ the remainder is $3$. What is the remainder when $a\times b$ is divide by $5$.

Q. Solve for $x$: $4x=36$

Q.

When integer $a$ is divided by$5$ the remainder is $2$.

When integer $b$ is divided by $5$ the remainder is $3$.

What is the remainder when $axb$ is divided by $5$?

Q.

Write an algebraic expression for the statement : $2$ added to five-sixths of a number

Q.

Write an inequality that you can solve using the Division Property of Inequality where the direction of the inequality symbol must be reversed.

Q.

Shilpi scored $x$ marks in English, $70$ marks in computer science & $50$ marks in social studies. What are her total marks in these subjects?​

Q.

A small cruise ship can hold up to $500$ people. There are $115$ crew members on board the ship.
(A). Write and solve an inequality that represents the additional numbers of people that can board the ship.
(B). Can $385$ more people board the ship? Explain.

Q. Mrs Kapoor had eggs. She used 10 eggs to bake a cake and half of total number of eggs gave to her neighbour. How many eggs are left with her?

Q. The tables at a banquet are designed in the shape of a Pentagon and 1 shape of square. Guests are allowed to sit in each corner of the pentagonal and square table. If there are a total of 204 guests, calculate the number of pentagonal tables required if all guests fill each seat of the table?

1. 30
2. 35
3. 40
4. 45

Q.

A football team gains $2$ yards on the first play, loses $5$ yards on the second play, loses $3$ yards on the third play and gains $4$ yards on the fourth play. What is the team’s total gain or loss?

1. A gain of $14$ yards

2. A gain of $2$ yards

3. A loss of $2$ yards

4. A loss of $14$ yards

Q. Lucy spent $\$100$ on her birthday celebration. This was $\$20$ more than one-fifth of what she she spent on shopping on her birthday. Lucy spent $\$$ on shopping on her birthday shopping.

Q. The sum of two numbers is $94$, and one of them is $30$ more than the other. The larger of the two numbers is

Q.

For what value of $x$ is $\frac{(81x+175)}{512}$ divisible by $2$?

Q. A total of 625 cars are parked in 25 rows outside a railway station. Calculate the number of cars that can be accommodated in 1 row?

1. 24
2. 25
3. 26
4. 27

Q. In the algebraic expression, $2x=96$, the value of unknown is

1. 48
2. 49
3. 50
4. 51

Q.

Solve the following equation for $y.$

$\frac{6y-2}{9}+\frac{3y+5}{18}=\frac{1}{3}$

Q. The product of three numbers $X$, 25, and 26 is 15, 600. Find the vale of $X$.

1. 22
2. 23
3. 24
4. 27

Q. In the algebraic expression, $2x-\frac{1}{2}=\frac{3}{2}$, the value of unknown is

1. 0
2. 1
3. 2
4. 3