Manipulation of a linear equation

Q. $2\times 3x\times n=$ ___ $\times 2x$

1. 6n
2. 3n
3. 2n
4. 4n

Q. If $12x=16$, what is the value of 3x ?

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

Q. Which of these equations have 3 as a solution?

1. $5x-3=3x-1$
2. $4x+3=11$
3. $2x+2=3x-1$
4. $x+1=2$

Q. If $\frac{(y-2z)+2}{2}=3$, what is the value of $y-2z$?

1. 2
2. 4
3. 6
4. 8

Q. If $2x+3=5$ , what is the value of x?

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

Q. 2x + 3y = 5
3x - 3y = 10
Which of the following best describes the solution set to the equation shown above?

1. The equation has no solutions.
2. The equation has exactly one solution, x = 3 , $y=-\frac{1}{3}$
3. The equation has exactly one solution, x = 5, , $y=\frac{1}{2}$
4. The equation has infinitely many solutions.

Q. -5 + bx = 2x +3(x+2) - In the equation shown above, b is constant. For What value of b does the equation above have no solution?

1. - 2.5
2. 2.5
3. - 5
4. 5

Q. $27+73=100+px-365$
In the given equation, $p$ is a constant. What is the value of $p$ if $x=1095$ is the solution to the equation?

1. 2/3
2. 3/2
3. -1/3
4. 1/3

Q. If 3x = 1, what is the value of 6x - 2 ?

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

Q. If $-k+77=97-20$ then what is the value of $k$?____