Easy Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) Write the algebraic expression for: "x increased by 5."
Correct! "x increased by 5" means x + 5.
(2) Find the value of 2x + 3 when x = 4.
Perfect! 2(4) + 3 = 8 + 3 = 11.
(3) Write the constant term in 7x + 9.
Excellent! The constant term is the number without a variable: 9.
(4) If y = 6, find the value of y – 2.
Great! y - 2 = 6 - 2 = 4.
(5) Expand: z + z + z.
Correct! z + z + z = 3z.
Short Answer Questions (2 Marks Each)
Answer each question clearly
(1) Form an algebraic expression for:
Twice a number decreased by 3:
Four times a number increased by 7:
Excellent! "Twice a number decreased by 3" = 2x - 3, "Four times a number increased by 7" = 4x + 7.
(2) Evaluate 2x + y when x = 3, y = 5.
Perfect! 2(3) + 5 = 6 + 5 = 11.
(3) Write an expression for the perimeter of a square of side a.
Correct! Perimeter of square = 4 × side = 4a.
(4) Subtract (3x + 4) from (7x + 9).
Great! (7x + 9) - (3x + 4) = 7x + 9 - 3x - 4 = 4x + 5.
(5) Simplify: 2m + 3m + 5.
Perfect! 2m + 3m + 5 = 5m + 5.
Long Answer Questions (4 Marks Each)
Note: Answer each question with complete steps and clear explanations.
(1) A box contains x pencils. Another box contains 2x + 5 pencils. Write an expression for the total number of pencils in both boxes. Find its value if x = 10.
Expression:
Correct! Total = x + (2x + 5) = 3x + 5. When x = 10: 3(10) + 5 = 35.
(2) Write an algebraic expression for the perimeter of a rectangle with length l and breadth b. Find the perimeter if l = 8 cm, b = 5 cm.
Expression:
Perfect! Perimeter = 2(l + b). When l = 8, b = 5: 2(8 + 5) = 26 cm.
(3) If the cost of 1 pen is p rupees and the cost of 1 pencil is q rupees, write an expression for the total cost of 4 pens and 3 pencils. Find the cost when p = 12, q = 5.
Expression:
Excellent! Total cost = 4p + 3q. When p = 12, q = 5: 4(12) + 3(5) = 48 + 15 = 63.
(4) Write an expression for the area of a square of side x and evaluate it when x = 7.
Expression:
Great! Area =
(5) The sum of three consecutive numbers is represented by an algebraic expression. Form the expression and simplify it.
Expression:
Correct! Let numbers be x, x+1, x+2. Sum = x + (x+1) + (x+2) = 3x + 3.
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) Which of these is an algebraic expression?
(a) 7 + 3 (b) 5x – 2 (c) 10 (d) 50
Correct! An algebraic expression contains variables. 5x – 2 has variable x.
(2) The variable in 2y + 5 is:
(a) 2 (b) y (c) 5 (d) 7
Correct! A variable is a letter that represents an unknown value. Here, y is the variable.
(3) The coefficient of x in 9x + 4 is:
(a) 9 (b) 4 (c) x (d) 13
Correct! The coefficient is the number multiplied with the variable. Here, 9 is the coefficient of x.
(4) If x = 2, the value of 3x + 1 is:
(a) 5 (b) 6 (c) 7 (d) 8
Correct! 3x + 1 = 3(2) + 1 = 6 + 1 = 7.
(5) The constant term in 4m + 7 is:
(a) 4 (b) 7 (c) m (d) 11
Correct! The constant term has no variable. Here, 7 is the constant term.
(6) The perimeter of a square of side x is:
(a) 2x (b) 3x (c) 4x (d)
Correct! Perimeter of square = 4 × side = 4x.
(7) Which of these is "ten more than twice a number y"?
(a) 2y + 10 (b) 10 – 2y (c) y – 10 (d) 2(y + 10)
Correct! "Twice a number y" = 2y, "ten more than" means + 10, so 2y + 10.
(8) The expression for "three less than a number x" is:
(a) 3x (b) x – 3 (c) 3 – x (d) x + 3
Correct! "Three less than x" means x - 3.
(9) The value of a + 4 when a = 6 is:
(a) 8 (b) 10 (c) 12 (d) 14
Correct! a + 4 = 6 + 4 = 10.
(10) The sum of x and y is written as:
(a) xy (b) x + y (c) x – y (d)
Correct! Sum means addition, so x + y.
Introduction to Algebra Challenge
Determine whether these statements are True or False: