Equations Reducible to the Linear Form

Q.

Solve the following linear equation:

$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$

Q.

Question 28

The solution of the equation 3x +7 = - 20 is ___ .

Q. $\text{Solve for x:}$

$\frac{8x+1}{3x+2}=2$

1. $\frac{3}{2}$
2. $\frac{5}{2}$
3. $\frac{5}{4}$
4. $\frac{2}{3}$

Q. If $x+15=21,$ then the value of $x=$

1. 4
2. 5
3. 6

Q. What is the solution of the equation $4x+25=7x+10$ [2 MARKS]

Q.

Solve :$\frac{1}{3}\left(7x-1\right)=\frac{1}{4}$

Q.

Write the sentence as an algebraic equation and find its solution.

Six more than a number is $30$.

Q. What is the solution of the equation $4x+25=7x+10$ ? [2 MARKS]

Q.

The solution of the equation $\frac{x+5}{5x+8}=\frac{11}{38}$ is

___

Q. Solve $\frac{x-4}{3}=\frac{5x-32}{9}$

Q. State whether true or false :
$16$ is a constant and $y$ is a variable but $16y$ is variable

1. True
2. False

Q.

Yaneev thinks of a number $y$. He subtracts three from the number, then doubles it. Then he subtracts three again and doubles the number again. The result is his original number $y$. What is $y$?

Q. The value of $x$, in the following expression
3$x$ - 6 = $\frac{3}{5}x$ - $\frac{6}{5}$ is .

1. 2
2. 3
3. $\frac{3}{2}$

Q. The value of $x$, in the following expression
3$x$ - 6 = $\frac{3}{5}x$ - $\frac{6}{5}$ is .

1. 2
2. 3
3. $\frac{3}{2}$

Q. If 21y5 is multiple of 9, where y is a digit, what is the value of y.

Q. Which of the following is correct for $\frac{7}{2}$ + $\frac{12}{6}$ ?

1. $\frac{(7\times 3)+(12\times 2)}{6}=\frac{21+24}{6}=\frac{45}{6}$
2. $\frac{(7\times 3)+\left(12\right)}{6}=\frac{21+12}{6}=\frac{33}{6}$
3. $\frac{7+12}{2+6}=\frac{19}{8}$
4. $\frac{(7\times 3)+(12\times 2)}{2\times 6}=\frac{21+24}{12}=\frac{45}{12}$