Algebraic Equation

Q. Find the value of $n$ in the following equation:
$\frac{2}{3}(4n-1)-(2n-\frac{1+n}{3})=\frac{1}{3}n+\frac{4}{3}$

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

Q. Solve linear equation:
$x+7-\frac{8x}{3}=\frac{17}{6}-\frac{5x}{2}$

Q. Solve the folowing equation:
$\frac{6x^2+13x-4}{2x+5}=\frac{12x^2+5x-2}{4x+3}$

1. x = 0
2. x = 11
3. x = -1
4. x = 1

Q. Solve linear equation:
$\frac{3t-2}{4}-\frac{2t+3}{3}=\frac{2}{3}-t$

Q.

How to translate statements into equations?

Q. An algebraic expression is a combination of variables and constants connected with mathematical operator(s).​

1. True
2. False

Q. If the digit 1 is placed after a two digit number whose tens digit is ‘t’ and units digit is ‘u’, which of these options represents the new number?

1. $100t+10u+1$
2. $t+u+1$
3. $t\times u\times 1$
4. $10t+u+1$

Q.

An equation must have an "equals" sign.

1. True

2. False

Q. The degree of the equation $7x^2-6xyz-3=9x$ is

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

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.

An algebraic fraction is a fraction whose numerator and denominator are algebraic expressions and is expressed by putting the divisor above the dividend by having a horizontal line between them.

1. True

2. False

Q.

Question 40

State whether the following statement is true (T) or false (F).

In the equation 3x-3=9, transposing -3 to RHS, we get 3x=9.

Q. Which of the following is an algebraic equation?

1. $4(2+3x)>20$
2. $4xy+3y<24$
3. $4xy+3y$
4. $4xy+6y=2(2xy+3y)$

Q. Represent x+4, x-4 and 4x+5 on the number line.




l want the complete solution and very fast

Q. An algebraic equation must have ______ sign.

1. an equal to
2. a less than
3. a greater than
4. None of the above

Q.

In an equation there is always an _____________ sign.

Q.

The equality symbol in the equation remains unchanged, if we subtract both sides of the equation by the same non zero number

1. True
2. False

Q. Question 1
x -2 =7

Q.

Question 23

Fill in the blanks to make each statement true:

A term of an equation can be transposed to the other side by changing its ...........

Q. Linear equation in one variable will have ______ solution.

1. one
2. two
3. three
4. four

Q.

What is the meaning of co- interior angle ?

What is the meaning of parameters ?

Q. A quantity whose value is unknown is generally termed as a _____

1. Constant
2. Variable
3. Exponent
4. Equation

Q.

How would you define the given equation is simple equation? [1 MARK]

Q. Find the value of $n$ in the following equation:
$\frac{2}{3}(4n-1)-(2n-\frac{1+n}{3})=\frac{1}{3}n+\frac{4}{3}$

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

Q. 39. How to find solutions of linear equations in one variable

Q. Of the four numbers, whose average is $60$, the first is one-fourth of the sum of the last three. The first number is:

1. $15$
2. $45$
3. $48$
4. $60.25$

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. Linear equation in one variable will always have ______ solution.

1. infinite
2. one
3. two
4. four

Q.

Using the technique of doing the same mathematical operation on both sides, we can make an equation starting from its___________.

Q. 4a+2x=1 is a linear equation in one variable.

1. False
2. True