Expressing Relations in Different Ways

Q.

The perimeter of a square is 14 metres. What is its area?

Q. What is the perimeter of a square whose side measure is '2a'?

1. 4a
2. 8a
3. 2a
4. 6a

Q. When a number y is increased by 5, it gives 11. The equation is:

1. y + 5 = 11
2. y - 5 = 11
3. 5y = 11
4. None

Q.

Three times a number minus another number is $-3$.

The sum of the numbers is $11$.

What are the numbers?

Q. In each of the following equations is the number given in the bracket a solution of the equation?

(1) 5y = 16 [8]
(2) $5=\frac{35}{x}\left[7\right]$
(3) $5=\frac{x}{35}\left[7\right]$
(4) 5m − 1 = 19 [4]
(5) 2p = p + 3 [2]
(6) 3t = 7t [0]

Q.

The length of a rectangle is 10 cm and width is 7 cm. What will be the area of a rectangle formed by joining 12 such rectangles?

1. 680 $c{m}^2$

2. 840 $c{m}^2$

3. 70 $cm$

4. 460 $cm$

Q. If the perimeter of a square room is 16 m, what is the length of each of its sides?

Q. Solve each of the following equation by choosing proper values for the variable in it.

(12) y − 4 = 0

Q. Use the properties of an equality to solve the following equations.

(1) m − 4 = 1

Q. Solve each of the following equation by choosing proper values for the variable in it.

(7) $4=\frac{y}{10}$

Q. Use the properties of an equality to solve the following equations.

(12) $\frac{y}{5}=12$

Q. A mathematical statement that says two things are equal is called an equation.

1. True
2. False

Q. Identify the equalities and the equations in the following statements.

(1) x − 2 = 7
(2) 4x = 20
(3) $2=\frac{10}{5}$
(4) $2=\frac{10}{x}$
(5) 18 = 10 + x
(6) 9(8 − 3) = 9 × 8 − 9 × 3

Q.

• solve the following equation by trial and error
• method=
• 5p+2=17

Q. If the perimeter of a square field is (4x - 12), then the side of the field will be _____.

1. x - 6
2. 2x - 6
3. x - 3
4. 2x + 6

Q. Solve this:


$\mathbf{\left(}\mathbf{23}\mathbf{\right)}\mathbf{}\mathbf{}\mathrm{Write}\mathrm{the}\mathrm{terms}\mathrm{of}\mathrm{x}-4\mathrm{xy}+10$

Q. Solve each of the following equation by choosing proper values for the variable in it.

(5) 18 = 13 + y

Q. Use the properties of an equality to solve the following equations.

(9) 8 = z + 5

Q. Which of the following operation is not allowed in an equation?

1. Subtracting the same number from both sides of the equation
2. Adding the same number to both sides of the equation
3. Multiplying both sides of the equation by the same non-zero number
4. Dividing both sides of the equation by zero

Q. A variable is a quantity whose value remains constant.

1. True
2. False