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Q1

The document contains a series of algebraic problems, including addition, subtraction, simplification, and evaluation of expressions involving variables and constants. It also includes tasks related to squaring binomials, using identities, and solving for unknowns in equations. The problems are structured in a way that they are categorized by type and assigned specific marks.

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medha sur
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49 views2 pages

Q1

The document contains a series of algebraic problems, including addition, subtraction, simplification, and evaluation of expressions involving variables and constants. It also includes tasks related to squaring binomials, using identities, and solving for unknowns in equations. The problems are structured in a way that they are categorized by type and assigned specific marks.

Uploaded by

medha sur
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Q1.

Add the following algebraic expressions: 3 MARKS

1. 2/3a, 3/5a, -6/5a


2. 11/2xy + 12/5y + 13/7x, -11/2y – 12/5x – 137xy
3. 7/2x3 – 1/2x2 + 5/3, 3/2x3 + 7/4x2 – x + 1/3, 3/2x2 -5/2x -2

Q2. Take away: 3 Marks


1. 7/4x3 + 3/5x2 + 1/2x + 9/2 from 7/2 – x/3 – x2/5
2. y3/3 + 7/3y2 + 1/2y + 1/2 from 1/3 – 5/3y2
3. 2/3ac – 5/7ab + 2/3bc from 3/2ab -7/4ac – 5/6bc

Q3. Subtract the sum of 3l – 4m – 7n2 and 2l + 3m – 4n2 from the sum of 9l + 2m – 3n2 and -
3l + m + 4n2…. (2 Marks)
Q4. Subtract the sum of 2x – x2 + 5 and -4x – 3 + 7x2 from 5. (2 Marks)
Q5. Simplify each of the following: (3 Marks)
1. 11/2x2y – 9/4xy2 + 1/4xy – 1/14y2x + 1/15yx2 + 1/2xy
2. (1/3y2 – 4/7y + 11) – (1/7y – 3 + 2y2) – (2/7y – 2/3y2 + 2)
3. -1/2a2b2c + 1/3ab2c – 1/4abc2 – 1/5cb2a2 + 1/6cb2a – 1/7c2ab + 1/8ca2b
Q6. Find each of the following products (5 marks)
1. (-24/25x3z) × (-15/16xz2y)
2. (-4x2) × (-6xy2) × (-3yz2)
3. (-2/7a4) × (-3/4a2b) × (-14/5b2)
4. (0.5x) × (1/3xy2z4) × (24x2yz)
5. (2.3xy) × (0.1x) × (0.16)

Q7. Using the formula for squaring a binomial, evaluate the following
1. (1001)2
2. (999)2
3. (703)2
Q8. Simplify the following using the formula: (a – b) (a + b) = a2 – b2
1. (467)2 – (33)2
2. (79)2 – (69)2
3. 9.8 × 10.2

Q9. Simplify the following using the identities:


1. (198 × 198 – 102 × 102)/96
2. 1.73 × 1.73 – 0.27 × 0.27
3. (8.63 × 8.63 – 1.37 × 1.37)/0.726

Q10. Find the value of x, if:


4x = (52)2 – (48)2
14x = (47)2 – (33)2
5x = (50)2 – (40)2
Q11. If x + y = 4 and xy = 2, find the value of x2 + y2
Q12. If 3x + 5y = 11 and xy = 2, find the value of 9x2 + 25y2
Q13. If x + 1/x = 12 find the value of x – 1/x.

Q14. If 2x + 3y = 14 and 2x – 3y = 2, find value of xy. [Hint: Use (2x+3y) 2 – (2x-3y) 2 = 24xy]

Q15. Show that:


1. (a – b) (a + b) + (b – c) (b + c) + (c – a) (c + a) = 0
2. (4m/3 – 3n/4)2 + 2mn = 16m2/9 + 9n2/16
3. (4pq + 3q)2 – (4pq – 3q)2 = 48pq2

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