- Ax + y = y + x (Commutative Property)
- Bx - y = y - x
- Cx * y = y * x (Commutative Property)
- D(x + y) + z = x + (y + z) (Associative Property)
Subtraction is not commutative, meaning changing the order of operands changes the result. x - y is generally not equal to y - x (e.g., 5-3=2 but 3-5=-2).
More Questions on Algebra
An algebraic expression has terms '5x', '2y', and '7'. What is the constant term in this expression?
→ 2Which of the following is equivalent to the expression "y subtracted from 15"?
→ 3A bag contains 'r' red marbles and 'b' blue marbles. If 5 red marbles are added to the bag, what is the new total number of marbles?
→ 4If 'a' is a positive integer, which expression will have the smallest value?
→ 5The perimeter of a regular hexagon is 'P' cm. If each side length of the hexagon is 's' cm, which equation is correct?
→ 6When is the statement "x + y = x - y" true?
→ 7A group of 'g' students went on a field trip. Each student paid Rs. 50 for transportation and Rs. 20 for entrance fees. What is the total amount collected from the students?
→ 8If 'x' is an even number, which of the following expressions will always represent an odd number?
→ 9Mona is 'm' years old. Her brother is 4 years older than her. Their father's age is twice the combined age of Mona and her brother. What is the father's age?
→ 10Which operation is the inverse of "adding 8" when solving an equation?
→ 11The cost of a book is Rs. 'b'. The cost of a pen is Rs. 10 less than the cost of the book. What is the total cost of 2 books and 3 pens?
→ 12Which of the following is an incorrect way to write "three times a number 'x' increased by 5"?
→ 13If a number 'k' is multiplied by 4 and then 9 is subtracted from the result, the answer is 11. Which equation represents this situation?
→ 14Identify the equation from the following options:
→ 15A bus travels at a speed of 'v' km/hour. How far will it travel in 6 hours?
→ 16A pattern is formed using dots: Figure 1 has 3 dots, Figure 2 has 5 dots, Figure 3 has 7 dots. If 'n' represents the figure number, which expression gives the number of dots in Figure 'n'?
→ 17Which of the following statements correctly uses a variable?
→ 18Consider the expression 7y + 12. If the value of 'y' is 4, what is the value of the expression?
→ 19A square has a side length of 's' units. If its side length is increased by 3 units, what will be the perimeter of the new square?
→ 20Reena is 'x' years old. Her brother, Sanjeev, is 5 years younger than her. Their mother is three times Reena's age. Which expression correctly represents the mother's age in terms of Sanjeev's age?
→ 21A train travels 'k' kilometers in an hour. How many kilometers will it travel in half an hour?
→ 22What is the value of x if 7 + x = 18?
→ 23The number of students in a class is 'S'. If 1/3 of the students are boys, which expression represents the number of boys?
→ 24If 2 less than a number 'x' is 10, what is the number?
→ 25The weight of a puppy is 'w' kg. Its mother is 5 times heavier than the puppy. What is the mother's weight?
→ 26A shopkeeper sold 's' shirts on Monday and twice that number of shirts on Tuesday. How many shirts did he sell in total over the two days?
→ 27Which of the following describes a variable?
→ 28If a number 'N' is decreased by 10 and the result is 20, what is the number?
→ 29What is the value of 15 - 2y if y = 6?
→ 30If the cost of one ice cream cone is 'x' rupees, what is the cost of buying 4 ice cream cones for yourself and your 3 friends?
→ 31A bag contains 'g' green apples and 'r' red apples. You add 5 more green apples to the bag. What is the new total number of apples?
→ 32The side length of a square is 's'. What is its area?
→ 33Which of the following is true for any variable 'a'?
→ 34Solve for 'x': x / 5 - 1 = 4
→ 35A baker bakes 'c' cakes on Monday. On Tuesday, he bakes 3 fewer cakes than Monday. How many cakes did he bake on Tuesday?
→ 36If 'k' is a number, which expression represents "the sum of the number and 5, multiplied by 2"?
→ 37The number of boys in a class is 'b'. The number of girls is twice the number of boys. What is the expression for the number of girls?
→ 38What is the value of y in the equation 3y + 2 = 17?
→ 39A factory produces 'f' toys per day. How many toys will it produce in a week (7 days)?
→ 40If the cost of 6 pencils is 'C' rupees, what is the cost of one pencil?
→ 41Which is the constant term in the equation 4x - 6 = 10?
→ 42A bus travels at a speed of 'v' kilometers per hour. How much distance will it cover in 3 hours?
→ 43Which of these shows the distributive property?
→ 44The length of a rope is 'R' meters. If it is cut into 5 equal pieces, what is the length of one piece?
→ 45If 'k' is an odd number, what is the next even number after 'k'?
→ 46What is the value of (a + b) * c if a = 2, b = 3, and c = 4?
→ 47A pattern starts with 5, then 10, then 15. What is the expression for the nth term of this pattern?
→ 48Solve for 'p': p - 12 = 8
→ 49The temperature in a city is 'T' degrees Celsius. If it rises by 7 degrees, what is the new temperature?
→ 50If 'x' is a number, which expression represents "10 less than the number x"?
→ 51A box of chocolates contains 'c' chocolates. If you buy 3 such boxes, how many chocolates do you have in total?
→ 52Which of these represents "the product of 5 and a number 'q'"?
→ 53Solve for 'a': 2a = 18
→ 54If 'm' represents a number, which expression is equivalent to "the number 'm' divided by 4"?
→ 55The cost of a book is 'x' rupees. The cost of a pen is 'y' rupees. What is the difference in cost between the book and the pen?
→ 56If 'p' is an even number, what is the next odd number after 'p'?
→ 57In the expression 2x + 5y - 8, how many terms are there?
→ 58Solve for 'y': y / 3 = 7
→ 59The length of a rectangle is 'L' cm. Its width is 3 cm less than its length. What is the expression for its width?
→ 60Which of the following expresses the associative property of addition?
→ 61A taxi charges a fixed fare of 50 rupees plus 10 rupees per kilometer. If 'd' is the distance traveled in kilometers, what is the expression for the total fare?
→ 62If 4 times a number 'n' is equal to 36, what is the number?
→ 63Which of the following describes the constant term in an algebraic expression?
→ 64Solve for 'x': x + 9 = 20
→ 65If 'z' is a number, which phrase correctly describes 2z - 9?
→ 66Rani is 12 years old. Her brother is 't' years older than her. What is the expression for her brother's age?
→ 67What is the value of 5 + x - 2 if x = 8?
→ 68Let's try a simpler one about perimeter. The perimeter of a regular hexagon is given by the expression 6s, where 's' is the length of one side. If a side length is 7 cm, what is the perimeter?
→ 69If a number 'k' is multiplied by 6 and then 2 is added to the product, the result is 32. Which equation represents this?
→ 70The cost of one apple is 'a' rupees and the cost of one banana is 'b' rupees. What is the total cost of 5 apples and 3 bananas?
→ 71If x = 10, what is the value of 3x - 5?
→ 72If 'a' is a number, which expression means "half of the number 'a' increased by 10"?
→ 73A farmer has 'x' cows. He buys 8 more cows. How many cows does he have now?
→ 74In the expression 7m + 4, what is the coefficient of 'm'?
→ 75If the perimeter of an equilateral triangle is 'P' and its side length is 's', which equation correctly relates P and s?
→ 76Which of the following expressions represents "three times a number 'p' decreased by 7"?
→ 77If 'y' represents the current age of a person, what was their age 5 years ago?
→ 78A pattern of squares is made using matchsticks. For 1 square, 4 matchsticks are used. For 2 squares, 7 matchsticks are used. For 3 squares, 10 matchsticks are used. How many matchsticks will be needed for 'n' squares?
→ 79Rahul scored 'x' marks in a test. His friend scored 15 marks more than Rahul. What is the expression for his friend's score?
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