Rules for Elimination

Q.

Solve: $\frac{x-4}{3}+\frac{2x-3}{35}=\frac{5x-32}{9}-\frac{x+9}{28}$.

1. 20

2. 19

3. 5

4. 10

Q. Solve: $\frac{7}{10}+\frac{2}{5}+\frac{3}{2}.$

Q. Solve $\frac{2}{5}\times (-\frac{3}{7})-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

1. $\frac{-13}{28}$
2. $\frac{11}{28}$
3. $\frac{-11}{28}$
4. $\frac{13}{28}$
   

Q. Find the simplest form of the equation $30x+10=40$.

1. $3x+1=4$.
2. $x=1$.
3. $x=3$.
4. $\frac{1}{3}\times x=3$.

Q. Which of the following operation is not allowed in a given linear equation?

1. Adding the same number to both sides of the equation
2. Subtracting the same number from both sides of the equation
3. Multiplying both sides of the equation by the same non-zero number
4. Dividing both sides of the equation by zero

Q. Solve the following : 0.25 (4x – 5) = 0.75x + 8

1. -29
2. 37
3. -37
4. 39

Q. What remains after 4 is subtracted on both sides is $2x=6$ Which of the following operations can I perform next?

1. Divide both sides of the equation by 2
2. Shift 2 to the right hand side
3. Multiply 2 on both sides of the equation
4. Both A and B

Q. $3x+15=10$ is a simple equation. If $5$ is added to the left-hand side of the equation, the equation remains the same as the given equation.

1. True

2. False

Q.

Solve: $\frac{3x+3}{3}=7$

1. x = 9

2. x = 7

3. x = 6

4. x = 8

Q. When we get variables to one side and constants to the other in $4x+25=7x+10$, what will be the final equation obtained?

1. $15=3x$
2. $3x=-15$
3. $-3x=15$
4. $3=15x$

Q. Solve the following : 0.15 (2x – 5) = 0.65x + 8

1. -25
2. 15
3. -15
4. 25

Q. Step 1: $3x+2=17$
Step 2: $3x=17-2$
This process of shifting the number from one side of the equation to the other side is called as ___.

1. translation

2. root of equation

3. transposition

4. correlation

Q. On transposing a variable or constant from the left hand side to the right hand side of an equation, its sign does not change.

1. False
2. True

Q. $4x+25=7x+10$ is the given equation.
To solve the above equation, we take all variables on to one side and all constants to the other side of the equal to sign.

1. True
2. False

Q. $4x+25=7x+10$ is the given equation.
To solve the above equation, we take all variables on to one side and all constants to the other side of the equal to sign.

1. True
2. False

Q. To solve for x in the equation 3x + 5 = 17, which of the following steps we follow?

1. Subtract 5 on both sides of the equation. Then divide both sides of the equation by 3.
2. Add 5 on both sides of the equation. Then divide both sides of the equation by 3.
3. Divide both sides of the equation by 3. Then divide both sides of the equation by 3.
4. Multiply by 5 on both sides of the equation. Then divide both sides of the equation by 3.