Variable and Constants

Q. Find the value of $x$ in $kx+a=mx+b$.

1. $\frac{b-a}{k-m}$
2. $\frac{a-b}{k-m}$
3. $\frac{k-m}{a-b}$
4. $\frac{m-k}{a-b}$

Q. Find the value of $x$ in $kx+a=mx+b$.

1. $\frac{b-a}{k-m}$
2. $\frac{a-b}{k-m}$
3. $\frac{k-m}{a-b}$
4. $\frac{m-k}{a-b}$

Q. Define a constant and a variable in an algebraic equation.

Q. Solve for y: 2y + 9 = 21

1. 10
2. 4
3. 15
4. 6

Q. zero to the power zero equals zero or any number. Please explain in details.

Q. If $\frac{x+c}{x+1}=c+1$. Express $x$ in terms of $c$.
Given c is a constant, $c\ne 0$, $c\ne -1$ and $x\ne -1$.

1. $c-2$
2. $\frac{-1}{c}$
3. $\frac{c-1}{c}$
4. $\frac{c-1}{c+1}$

Q.

The total number of variables in the equation 3a + b + 6ab = 0 is 3. State True or False.

1. True

2. False

Q.

Identify the algebraic expression from the following.
$y-5$

Q.

Question 19

Fill in the blanks to make each statement true:

Any value of the variable, which makes both sides of an equation equal, is known as a ................... of the equation.

Q. Check and find the error in the following solutions.

$1.$ Find the value of $x:$ $3x+x+5x=72$

$3x+x+5x=72$
$\Rightarrow 8x=72$
$\Rightarrow x=\frac{72}{8}=9$

$2.$ Find the product$:3(x-4)$

$3(x-4)=3x-4$

Q. Which figure given below is a closed curve as well as a polygon?

1. 
2. 
3. 
4. 

Q.

What value of x will make the equation 4x + 7 = 11, a true statement?

1. 0

2. 1

3. 2

4. -1

Q. Find the solution of $\frac{2}{x+3}-\frac{4}{x-3}=\frac{-6}{x+3}$.

1. $9$
2. $-1$
3. $-3$
4. $3$

Q.

If y = 7x -1, what is the value of y when x = 0?

1. 1

2. -1

3. 0

4. 2

Q.

342 + 1 is a linear expression .This is :

1. False

2. True

Q. Arrange the following type of equations in the ascending order of their degree.

1. Cubic
2. Linear
3. Biquadratic
4. Quadratic

Q. How many variables are there in the expression (xy + 5)?

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

Q. If y = 11c + 4, then value of y if c = -2?

1. -18
2. -16
3. -11
4. -19

Q. Find the number of variables in the equation x + xy = 15. $\left[1\right]$
(a) 0 (b) 1 (c) 2 (d) 3

Q. Arrange the following type of equations in the ascending order of their degree.

1. Cubic
2. Biquadratic
3. Linear
4. Quadratic

Q.

If $x=2,y=3$and $z=-1$ find the value of :

$x÷y$

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