Linear Equation in 2 Variables
Trending Questions
Q.
Express the linear equation in the form and indicate the values of and in each case .
Q.
If and is a solution of , find the value of .
Q.
How to solve an equation?
Q. An algebraic equation must have ______ sign.
- a less than
- an equal to
- a greater than
- None of the above
Q. Rachel can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes. Choose the correct statement.
- Rachel will need to work for less than 2 days
- Rachel will need to work for more than 4 days
- Rachel will need to work for less than 4 days
- Rachel will need to work for less than 3 days
Q.
Question 92 (xvi)
Factorise the following using the identity a2−b2=(a+b)(a−b).
1331x3y−11y3x
Q.
Question 92 (v)
Factorise the following using the identity a2−b2=(a+b)(a−b).
28ay2−175ax2
Q. Manish and Nitish are brothers. Manish is three years younger than Nitish. If Nitish age is x then Manish’s age could be represented by the algebraic expression.
Q.
The cost of chairs and tables is while the cost of chairs and tables is . Then the cost of chairs and table is:
Q. A container filled of milk-water mixture contains 75% milk. 5 litres of this mixture is replaced by water. Next, 10 l of the mixture is replaced by water. If the final percentage of milk in the container is 54%, find the initial quantity of mixture in the container
Q. Question 90 (x)
Factorise the following, using the identity, a2−2ab+b2=(a−b)2.
x24−2x+4
Factorise the following, using the identity, a2−2ab+b2=(a−b)2.
x24−2x+4
Q. Which of the following is a letter or symbol that represents a number or numbers?
- Coefficient
- Equation
- Expression
- Variable
Q. You buy a bike and a helmet for $223.89 and $29.50, respectively. You have two gift cards of equal value. You use both gift cards and pay an additional amount of $3.39. What is the value of one gift card?
Q. In a party room, 20 workers decorate 70 tables. Each table is decorated with 10 silver balloons and 15 gold balloons. Which equation could be used to find x, the total number of silver and gold balloons needed to decorate all the tables?
Q. Rakhi travelled 4x km distance by walk, 2y km by cycle and 9km by bus. The total distance covered by Rakhi in an algebraic expression is _______ .
- (x−y+2)km
- (2x+3y+1)km
- (x+y+1)km
- (4x+2y+9)km
Q. Antony and Benjamin together earn 250 dollars per day. Benjamin and Carter together earn 300 dollars per day. When working together, Antony, Benjamin, and Carter earn 500 dollars per day. How much does Benjamin earn per day?
- 40 dollars
- 60 dollars
- 20 dollars
- 50 dollars
Q. The cost of two red balls and five blue balls is ₹160. Find the correct equation for the above-mentioned statement among the given options.
r = price of one red ball; b = price of one blue ball
r = price of one red ball; b = price of one blue ball
- r+5b=₹160
- 2r−5b=₹160
- 3r+5b=₹160
- 2r+5b=₹160
Q. The cost of mozzarella cheese is 5 dollars more than twice that of cheddar (n dollars per packet). If the cost of mozzarella cheese is 6 dollars per packet, which of the following gives the equation to find the cost of a packet of cheddar?
- 2n + 5 = 6
- 2n + 6 = 5
- n + 5 = 6
- n + 6 = 5
Q. Leela is 4 years younger than Radha. What is Leela’s age in terms of Radha’s age?
(Take Radha’s age to be x years)
(Take Radha’s age to be x years)
- x+4 years
- x−4 years
- 4x years
- 4−x years
Q. The relationship between y and x is graphically represented below.
Choose the correct equation for the relation shown in the figure.
Choose the correct equation for the relation shown in the figure.
- y=30+x
- y=30x
- y=20−x
- y=30−x
Q. Which of the following is an algebraic equation?
- 2x + 13 = 26
- 3x + 6
- 2x + 17y
- 5y
Q. Which of the following is an algebraic equation?
- 3x + 6
- 2x + 13 = 26
- 2x + 17y
- 5y
Q. Which of the following is an algebraic equation?
- 2x + 13 = 26
- 2x + 17y
- 3x + 6
- 5y
Q. An algebraic equation must have ______ sign.
- a greater than
- None of the above
- an equal to
- a less than
Q. Express the following as an algebraic expression:
(iv) The product of 12, x, y, z minus the product of 5, m and n.
(iv) The product of 12, x, y, z minus the product of 5, m and n.
Q. Rahul travels 600 km to his home partly by train and partly by car. He takes 8 hours if he travels 120 km by train and the rest by car. He takes 20 minutes longer if he travels 200 km by train and the rest by car. Find the speed of the train and the car.
- Speed of train =20km/h & Speed of car =40 km/hr
- Speed of train =45 km/h & Speed of car =52 km/hr
- Speed of train =66 km/h & Speed of car =88 km/hr
- Speed of train =60 km/h & Speed of car =80 km/hr