Question

Q1. Express the following as an algebraic expression. a. Savitri has a sum of Rs. x. She spent Rs. 1000 on grocery, Rs. 500 on clothes and Rs. 400 on education, and received Rs. 200 as a gift. How much money (in Rs.) is left with her? b. x multiplied by 2 and then subtracted from 3. c. Kanta has p pencils in her box. She puts q more pencils in the box. Find the total number of pencils she has.
Q 2. Write the following in exponential form: a. 4 × a × a × …… 5 times × b × b × ……. 12 times × c × c …… 15 times b. 5 × a × a × a × b × b × c × c × c
Q 3.Find the number of terms in the given algebraic expressions and classify them as monomial, binomial, trinomial or quadrinomial. a. 6xyz b. 9 ab + 9 c. 2y + 7y 2 + 3 d. 4ab 2c - 5a 3b 2c + abc
Q 4. Add the following algebraic expressions: a. 6a + 8b - 7c, 2b + c - 4a and a - 3b - 2c b. 5x² + 7y - 8, 4y + 7 - 2x² and 6 – 5y + 4x² c. 8x² - 5xy + 3y², 2xy - 6y² + 3x² and y² + xy - 6x² d. 11a² + 8b² - 9c², 5b² + 3c² - 4a² and 3a² - 4b² - 4c²
Q 5.Subtract: a. -7x from 5x b. x 2 + y 2 + 3xy from 4x 2 + 2xy – 3y 2 c. 4a + 5b - 3c from 6a - 3b + c d. 3x² - 6x - 4 from 5 + x - 2x²
Q 6. What should be subtracted from a 3 - 4a 2 + 5a – 6 to obtain a 2 - 2a + 1 ?
Q 7. Subtract a 3 - 4a 2 + 5a – 6 from the sum of 3a 3 + a 2 + 1 and a 2 -2?
Q 8. If x = 1, y = 2 and z = 5, find the value of (i) 3x − 2y + 4z (ii) x 2 + y 2 + z 2 (iii) 2x 2 − 3y 2 + z 2 (iv) xy + yz − zx (v) 2x 2 y − 5yz + xy 2 (vi) x 3 − y 3 − z 3
Q 9.Write the product form of 6y 4 and (6y) 4 . Are they same?​

Answer 1

Answer:

x-1700

Step-by-step explanation:

x-1700

Answer 2

Answer:

Q1) X- 1000-500-400+200

X = 300

Q2) 2X -3

Q3) P+Q

Step-by-step explanation:

Q1) X- 1000-500-400+200

X = 300

Q2) 2X -3

Q3) P+Q

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