Algebraic Expressions – Maharashtra Board Class 6 Solutions for Mathematics

Algebraic Expressions – Maharashtra Board Class 6 Solutions for Mathematics (English Medium)

MathematicsGeneral ScienceMaharashtra Board Solutions

Exercise-50

Solution 1:

Exercise-51

Solution 1:

1. Groups of like terms:
   i. (5x, -8x)
   ii. (-7y, 6y, -y)
   iii. (-3m, m)
   iv.(2z, 5z)
2. Groups of like terms:
   i. (4x², -10x²)
   ii. (-7y³, -y³, 5y³)
3. Groups of like terms:
   i. (2x²yz, 7yzx²)
   ii. (xyz², -6xyz²)
   iii. (xzy, -xyz)

Exercise-52

Solution 1:
Monomials: (2), (5), (6), (7)
Binomials: (3), (8)
Trinomials: (1), (4), (9)

Exercise-53

Solution 1:

1. 5 – x
   = 5 – 4 (x = 4)
   = 1
2. 3 (5 – x)
   = 3 (5 – 4) (x = 4)
   = 3 (1)
   = 3
3. (5 – x)²
   = (5 – 4)² (x = 4)
   = 12
   = 1
4. (x + 2)²
   = (4 + 2)²
   = (6)²
   = 36
5. 3 (x + 2)
   = 3 (4 + 2) (x = 4)
   = 3 (6)
   = 18
6. 2 (x + 2) + 3
   = 2(4 + 2) + 3 (x = 4)
   = 2(6) + 3
   = 12 + 3
   = 15

Solution 2:

1. 5x – 3
   = 5(3) – 3
   = 15 – 3
   = 12
2. x²
   = (3)²
   = 9
3. 2x³
   = 2(3)³
   = 2(27)
   = 54
4. 5 x² + x
   = 5(3)² + 3
   = 5(9) + 3
   = 45 + 3
   = 48
5. x² + 2x
   = (3)² + 2(3)
   = 9 + 6
   = 15

Solution 3:

1. 2a + 5b
   = 2 × 3 + 5 × 4
   = 6 + 20
   = 26
2. a + b + c
   = 3 + 4 + (- 2)
   = 7 – 2
   = 5
3. b² + a² – c²
   = (4)² + (3)² – (-2)²
   = 16 + 9 – 4
   = 25 – 4
   = 21
4. b² – a²
   = (4)² – (3)²
   = 16 – 9
   = 7

Solution 4:

1. p² + q²
   = (3)² + (5)²
   = 9 + 25
   = 34
2. p² – 2pq + q²
   = (3)² – 2 × 3 × 5 + 5²
   = 9 – 30 + 25
   = 9 + 25 – 30
   = 34 – 30
   = 4
3. qp + 3q
   = 5 × 3 + 3 × 5
   = 15 + 15
   = 30
4. p² + 2p + q
   = (3)² + 2 × 3 + 5
   = 9 + 6 + 5
   = 20