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Exemplar Problems
1. Which of the following represents 6 × x?
x
(a) 6x (b) (c) 6 + x (d) 6 – x
6
2. Which of the following is an equation?
(a) x + 1 (b) x – 1 (c) x – 1 = 0 (d) x + 1 > 0
3. Which of the following equations does not have a solution in integers?
(a) x + 1 = 1 (b) x – 1 = 3 (c) 2x + 1 = 6 (d) 1 – x = 5
4. The difference between the ages of two sisters Leela and Yamini is a variable. (True/False)
5. The equations x + 1 = 0 and 2x + 2 = 0 have the same solution. (True/False)
6. If x is a negative integer, –x is a positive integer. (True/False)
7. The two-digit number whose ten’s digit is ‘t’ and units digit is ‘u’ is __________.
8. Let Kanika’s present age be x years.
Complete the following table, showing ages of her relatives:
Situation (described in ordinary language) Expressions
(i) Her brother is 2 years younger. ___________________
(ii) Her father’s age exceeds her age by 35 years. ___________________
(iii) Mother’s age is 3 years less than that of her father. ___________________
(iv) Her grand father’s age is 8 times of her age. ___________________
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