Linear Equation

Q.

How do you know if an exponential function is increasing or decreasing $?$

Q. Length of a recatngle exceeds its breadth by 4 m. If the perimeter of the rectangle is 84 m, find its length and breadth.

Q. A linear equation in one variable has:

1. More than two solutions
2. No solution
3. Two solutions
4. One solutions

Q. The length of a rectangle is $2(x+6)$ cm, and its width is half of its length. What is its perimeter?

1. $6(x-3)$ cm
2. $6(x-6)$ cm
3. $3(x+6)$ cm
4. $(6x+36)$ cm

Q.

A linear equation in one variable has ______ solution(s)

Q. Set up an equation and solve it to find the unknown number:
Alex thinks of a number. If he adds 19 to it and divides the sum by 5, he will get 8.

Q. A linear equation is _______.

1. an equation with only one term always
2. an equation with only two terms
3. an equation with degree 1
4. an equation with only one variable

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

Q.

Solve the following equation using the method of transposition:
16 = 4 + 3(t + 2)

Q. The expression not an algebraic expression $3m^2$

1. True
2. False

Q. Jack is traveling in a boat that takes 30 minutes to cover 18 miles downstream. The ratio of the speed of the boat in still water to the speed of the stream is 5:1. How much time will it take to cover 20 miles upstream?

1. 40 min
2. 50 min
3. 60 min
4. 30 min

Q. Solve the algebraic expression and pair them up with their equivalent value.

1. $5x{y}^2$
2. $8a^2-5a^2$
3. 3xy - 4xy
4. $2x{y}^2+3y^{2}x$
5. $3x{y}^2+2x^{2}y$
6. $3a^2$
7. -xy
8. $2x^{2}y+3x{y}^2$

Q. Transposing 2 in the equation 𝑥 + 2 = 7 converts it to:

1. 𝑥 = 5
2. 𝑥 = 7
3. 𝑥 = 14
4. 𝑥 = 7 / 2

Q. A linear equation is _______.

1. an equation with only one variable
2. an equation with only two terms
3. an equation with degree 1
4. an equation with only one term always

Q.

what is the meaning of linear equation?

Q. Transposing 2 in the equation 𝑥 + 2 = 7 converts it to:

1. 𝑥 = 5
2. 𝑥 = 7
3. 𝑥 = 14
4. 𝑥 = 7 / 2