Strategy for Solving an Algebraic Equation

Q.

Express as an equation:

$9$ more than thrice a number is $27$.

Q. Solve: $5z=8.5$

Q.

The sum of $3$ times the value of $x$ and $2$ is equal to $4$ less than $5$ times the value of $x$.

Which equation can be used to find the value of $x$?

Q.

Convert the following statements to algebric expressions assuming a suitable variable for each of them.

Sunitas height is $4cm$ less than twice the height of her younger sister Kareena

Q. Lina is three times as old as Paul. If the sum of their ages is 48, find their respective ages.

1. Age of Paul is 22.5 years and age of Lina is 25.5 years.
2. Age of Paul is 12 years and age of Lina is 36 years.
3. Age of Paul is 36 years and age of Lina is 12 years.

Q. For ease of solving an equation, the unknowns are brought to one side and the constants are brought to the other side of the equation.

1. True
2. False

Q. In the algebraic expression, $11x+33\times 3=\frac{1892}{2}$, the value of unknown is

1. 75
2. 76
3. 77
4. 78

Q. In the algebraic expression, $8x+7=70+x$, the value of unknown is

1. 8
2. 9
3. 10
4. 11