Worksheet: Expressions using Letter-Numbers | Mathematics (Ganita Prakash) Class 7 - New NCERT PDF Download
Section A: Multiple-Choice Questions (MCQs)
Q1: One plate of dosa costs ₹50, and one plate of idlis costs ₹30. If x plates of dosa and y plates of idli are ordered, which expression represents the total amount earned in rupees?
a) 50x - 30y
b) 50x + 30y
c) (50 + 30) x (x + y)
d) 30x + 50y
Q2: A flour mill takes 12 seconds to start and 6 seconds per kg of grain to grind. Which expression describes the time to grind z kg of grain, starting from off?
a) 12 + 6 + z
b) 12 x 6 x z
c) 12 + 6 x z
d) (12 + 6) x z
Q3: For a matchstick pattern, the number of matchsticks in step y is given by 4y + 1. How many matchsticks are needed for step 5?
a) 22
b) 21
c) 18
d) 28
Q4: A shop rents out chairs and tables. The net cost for x chairs and y tables is 25x + 60y. What is the cost for 3 chairs and 2 tables?
a) 195
b) 206
c) 155
d) 135
Q5: In a quiz, Meera's score in one round is 5p - 2q, where p is the points for a correct answer and q is the penalty. If p = 6 and q = 1, what is her score?
a) 29
b) 24
c) 28
d) 32
Section B: True or False
a) The terms 5xy and -2yx are like terms.
b) If n = 4, then the value of 5n-3 is 17.
c) The expression 2y+7 has three terms: 2, y, and 7.
d) 3 (x + 2) = 3x + 6.
Section C: Patterns Based Question
Q1: Matchsticks form squares: 1 square = 4 matchsticks, 2 squares = 7 matchsticks, 3 squares = 10 matchsticks. Find the rule for n squares. How many matchsticks are needed for 12 squares?
Section D: Word Problems
Q1: Arjun is 6 years older than Bhavna. If Bhavna's age is b years, write an expression for Arjun's age and find Arjun's age when Bhavna is 14 years old.
Q2: Maya makes matchstick patterns with W's, each requiring 4 matchsticks. Write an expression for the number of matchsticks needed for n W's and calculate the number needed for 10 W's.
Q3: Rakesh buys oranges at ₹25 each and 1 kg of flour at ₹45. Write an expression for the total cost of o oranges and f kg of flour, and find the cost for 4 oranges and 3 kg of flour.
Q4: The perimeter of a regular pentagon is 5 times the side length. Write an expression for the perimeter if the side length is q cm, and find the perimeter when q = 6 cm.
Q5: In a quiz, Vikram's scores in three rounds are 4p - 3q, 5p - 2q, and 3p - q, where p is points for a correct answer and q is the penalty. Find his total score expression and calculate it if p = 7 and q = 2.
Section E: Think and Answer
Q1: A student simplified 4a + 3b - a = 7ab. Identify the mistake and write the correct answer.
Q2: Check whether the expressions: 2(x + 4) and 2x + 8 are equal for all values of x. Justify your answer.
For Worksheet Solutions, go to Worksheet Solutions: Expressions using Letter-Numbers
FAQs on Worksheet: Expressions using Letter-Numbers
| 1. How do I write algebraic expressions using variables and numbers for Class 7? |  |
| 2. What's the difference between a variable and a constant in letter-number expressions? | |
| 3. How do I simplify expressions with like terms and coefficients? | |
| 4. Why do I need to use letters in maths instead of just numbers? | |
| 5. What are some common mistakes students make when writing algebraic expressions from word problems? | |
