Equation

Q.

In linear equations, which is the maximum power of the variable and how?

Q. The highest degree of a linear equation is ___.

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

Q. A linear equation in two variables has how many solutions ?

1. two
2. one
3. not possible
4. infinite

Q.

Solve the following pair of linear equations by elimination method:

3x + 2y - 7 = 0 and 5x + y - 6 = 0

1. $x=\frac{17}{7}$ and $y=\frac{5}{7}$
2. $x=\frac{17}{6}$ and $y=\frac{5}{6}$
3. $x=\frac{5}{7}$ and $y=\frac{17}{7}$
4. $x=\frac{5}{6}$ and $y=\frac{17}{6}$

Q.

State which of the following are equation? Also identify linear equation and justify your answer.

$\text{x + 6 =14}$

Q. 5x > 65 is an equation.

1. False
2. True

Q. When the positive integer $m$ is divided by $7$, the remainder is $4$. What is the remainder when $2m$ is divided by $7$?

1. $9$
2. $1$
3. $6$
4. $8$
5. $4$

Q. ax+by-c=0 is the generic form of linear equation in two variables.

1. False
2. True

Q. A milkman sold two of his buffaloes for $Rs.20,000$ each. On one he made a gain of $5$ and on the other a loss of $10$. Find his overall gain or loss.(Hint :Find $CP$ of each)

Q. $3x^0+7=10$
is a linear equation in one variable.

1. False
2. True

Q. Question 2(i)
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. Find out how many marbles they had to start with.

Q. A linear equation in two variables has

1. Two solution
2. One solution
3. Infinite solution
4. One, two or none

Q. Which of the following can be considered as an equation?

1. 5 + 67 = 80 - 8
2. 2x + 77 > 3
3. $3x+4y\le 8$
4. $3x^2+7y+3=0$

Q. The equation $\frac{1}{x}+8=11$ can be converted into a linear equation by substituting $\frac{1}{x}=u$.

1. False
2. True

Q. If the replacement set is the set of whole numbers (W), then the solution set for $7-3x\ge \frac{-1}{2}$ is .

1. {2, 3, 4, 5}
2. {6, 7, 8}
3. {9, 10, 11}
4. {0, 1, 2}

Q. Renu has $x$ chocolates, then twice the number of chocolates that she has will be .

1. $x^2$
2. $2x$
3. $x+2$

Q. A number has three digits. By taking digits as r, s and t , write the equation for that number. (Take number as 'B' )

1. B= 10r+100s+t
2. B= 100r+10s+t
3. B= 100r+10s+t
4. B= 100r+10s+10t

Q. $\frac{1}{x}+\frac{1}{y}=76$ is a non linear equation.

1. True
2. False

Q. A man bought $80$ mangoes at $Rs.1$ each $10$ of them could not be sold as they got rotten. He sold the remaining at $Rs.1.50$ each. What was his profit or loss?

Q.

1. True

2. False

Q. The equation $\frac{1}{x}+8=11$ can be converted into a linear equation by substituting $\frac{1}{x}=u$.

1. False
2. True

Q. If $a_3=9$ and $a_7=21$. Find $S_5$

1. 40
2. 45
3. 50
4. 55

Q.

What happens if we add more terms in a polynomial. For eg 3x+ 2x+0 and 5x +4x+ 3x+2x+0. How their graph look like?

Q. The length and breadth of a rectangle are in the ratio 4:3. If the diagonal measures 25cm, then the perimeter of the rectangle is_______.

Q. 2x+4/2x+4+7/2x+4 (where x is not equal to -2) then the value of x is ? THE OPTIONS: A) -6 B) 13/10 C) -13/10 D) 3/8

Q. 4 more than a number is 9. What is the algebraic equation of this statement?

Q. Open the locks (equation) with the help of the given keys (solution).

Q.

State which of the following are equation? Also identify linear equation and justify your answer.

$\text{x - 12 + 2=-12}$.

Q.

Which of the following is a linear equation ?

1. 2x + x² = 5

2. 2x + 1/x = 2

3. x + 2y = 5(x - y)

4. x² + y² = 25

Q. A number is subtracted from another number formed by interchanging the digits of the original number. What can you say about the difference obtained?