Equation

Q.

What is the highest degree of a linear equation?

Q.

What is vieta jumping? Please explain with proof.

Q.

What are equations?

Q. An equation must have a/an ___ sign.

1. Plus
2. Equal
3. Implies
4. Arrow

Q. Question 2
Give the geometric representation of 2x + 9 = 0 as an equation:
(i) in one variable
(ii) in two variables

Q.

Write 2x=3 as an equation in two variables

Q.

Explain the term equation.

Q.

Solve using cross multiplication

5x − 3y = 26

4x + 2y = 34

1. (7, 3)

2. (7, -3)

3. (-7, 3)

4. (-7, -3)

Q. 8y + 8 -5 is an equation.

1. True
2. False

Q. What is algebraic expression and a point?

Q. Express the following linear equations in the form $ax+by+c=0$ and indicate the values of $a$, $b$ and $c$ in each case

(v) $2x+3=0$

Q. Find the value of x(in degree).

1. 38
2. 26
3. 19
4. 52

Q. How many linear equations in $x$ and $y$ can be satisfied by $x=1$ and $y=2$?

1. Two
2. Infinitely many
3. Three
4. Only one

Q. $x=9y+4$

Q. Which of the following represents a linear equation?

1. $\frac{3x}{4}=3+y$
2. 4 + 6 = 10
3. $3x^2+5y=0$
4. $5y^3+y^2+3=9$

Q. If $n$ is a positive integer divisible by $2,5$ and $7$, which of the following is true?
$I.n^2+100$ is divisible by $100$
$II.n+18$ is divisible by $14$
$III.n^2+1$ is divisible by $2$

1. $I,II$ and $III$
2. $I$ only
3. $I$ and $III$ only
4. $I$ and $II$ only
5. $II$ and $III$ only

Q.

Which of the following equations is written in standard form?

1. 2x + 3y - 6 = 0

2. y + 7 = x

3. 2x = 3y - 7

4. y = 2x + 3

Q.

Which of the following equations is written in standard form?

1. 2x + 3y - 6 = 0

2. y + 7 = x

3. y = 2x + 3

4. 2x = 3y - 7

Q. Give geometric representation of $2y+7=0$ as an equation:
(a) In one variable
(b) In two variable

Q. The sum on an odd integer and twice its consecutive is equal to $3757$. Find the number.

Q.

State the following is an equation (with a variable). Give a reason for your answer. Identify the variable from the equation with a variable.

$(\mathrm{t}-7)>5$

Q. 7x+4=12 is an equation .

1. True
2. False

Q. Give the geometric representation of $y=3$ as an equation
in one variable

Q.

Which of the following equations is written in standard form?

1. y + 7 = x

2. y = 2x + 3

3. 2x + 3y - 6 = 0

4. 2x = 3y - 7

Q. Which of the following is a linear equation in the two variables?

1. xy - x = 5
2. x(x + 2) = y
3. x - y = 2
4. x + yx = 1

Q.

The pair of equations given by: y = 0 and y = -7, have ________.

1. no solution

2. two solutions

3. infinitely many solutions

4. unique solution

Q. Find the value of x(in degree).

1. 38
2. 26
3. 52
4. 19

Q. The total number of lions and peacocks in a certain zoo is 50 . The total number of their legs is 140 . Then find the number of lions and peacocks in the zoo.

Q.

1. $40$
2. $100$
3. $250$
4. $150$

Q.

The graphical representation of Linear equation is

1. Straight line

2. Curve

3. Parabola

4. Both A and C