Equation

Q.

Which of the following is an algebraic equation?

1. 1+1=2

2. $x+3=7$

3. $5>7$

4. $x>5$

Q. The perimeter of the rectangle is 36 cm. If its length is 10 cm, then its breadth is 6 cm.

1. False
2. True

Q. If the highest degree of the variable in an equation with one variable is , then it is called a linear equation.

1. 2
2. 1
3. 3

Q.

Five less than a number $x$ is$12$. Find the number$x$.

Q. A linear equation can have only one variable.

1. True
2. False

Q.

Question 16

Fill in the blanks to make each statement true:

In a linear equation, the ................ power of the variable appearing in the equation is one.

Q.

The total number of variables in the equation 3a + 2b + 4c + 6abc = 0 is 3. State True or False.

1. 3

2. 12

Q. Which of the follwoing is a linear equation in one variable?

1. 5x + 9z = 0
2. x + 6 = 0
3. 2ab + 3a = 52
4. y = 4x + 72

Q. A linear equation can have only one variable.

1. True
2. False

Q. The profit earned after selling an article for Rs. 625 is same as the loss incurred after selling the article for Rs. 435. The cost price of the article is :

1. 520
2. 550
3. 540
4. 530

Q.

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

1. 3

2. 12

Q. Salman bought $40$ chairs at Rs $175$ each. He sold one-fourth of them at a loss of $8\%$ at what price each must he sell the remaining chairs so as to gain $10\%$ on the whole?

Q. The length of a rectangle is two more than its breadth. If the it's perimeter is 20 cm, then its breadth is_cm

1. 4

Q. |x-3| + |4-x| = 1 ; Find all possible values of x

Q. If the highest degree of the variable in an equation with one variable is , then it is called a linear equation.

1. 2
2. 1
3. 3

Q. If the highest degree of the variable in an equation with one variable is , then it is called a linear equation.

1. 2
2. 1
3. 3

Q. The length l of a rectangle is twice its breadth b. The perimeter of the rectangle can be represented by ____

1. 6l
2. 3b
3. 5b
4. 6b

Q. Which of the given statements is true?

1. An algebraic expression has a LHS and a RHS.
2. An equation cannot have a variable.
3. All equations are identities.
4. All identities are equations.

Q. The value of the variable which satisfies the equation is called the _____

1. coefficient
2. degree
3. variable
4. solution of the equation

Q. Thirty articles are bought at Rs. 450 each. if one-third of these articles be sold at 6% loss; at what price must each of the remaining articles be sold in order to make a profit of 10% on the whole ?

1. Rs. $531$
2. Rs. $580$
   
3. Rs. $650$
   
4. Rs. $632$
   

Q. Solve $\frac{10x^2+15x+63}{5x^2-25x+12}=\frac{2x+3}{x-5}$

1. $5$
2. $9$
3. $8$
4. $0$

Q. Which of the following represents the pattern of odd numbers?

1. 2n
2. (2n - 1)
3. n
4. n(n+1)/2

Q. Solve for y:
$\frac{7y+4}{y+2}=\frac{-4}{3}$

Q.

Find the value of x.

$1)\left(\frac{x}{3}\right)+\left(\frac{1}{4}\right)=\left(\frac{x}{2}\right)-\left(\frac{2}{5}\right)$

$2\left)0.25\right(3x-1)=0.05(8x-6)$ [4 MARKS]

Q. If $-\frac{1}{x}$ is an integer, what are the possible values of x?

1. 0
2. 1
3. none of these
4. $\pm 1$

Q. Sumit borrowed capital of Rs. $50,000$ to start his food products business. In the first year, he suffered a loss of $20\%$. He invested the remaining capital in a new sweets business and made a profit of $5\%$. How much was his profit or loss computed on his original capital?

Q. A boy an old bicycle for $Rs.162$ and spends $Rs.18$ on its repairs before selling the bicycles for $Rs.207$. Find his gain or loss percent.

Q. Find the profit or loss.
$C.P.=Rs.148;S.P.=Rs.180$

Q. Solve for y:
$\frac{7y+4}{y+2}=\frac{-4}{3}$

Q. Tinny sold a plot of land at $20\%$ gain to Wimpy. Wimpy sold it to Deepail at $10\%$ profit, If Deepali has to pay $Rs3,30,000$ for the plot, find the $C.P$ of the plot for Tinny.