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ICSE ICSE Class 6 - CISCE Question Bank Solutions for Mathematics

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If x = 3, y = 2 and z = 1; find the value of 2x – 3y + 4z + 5

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If x = 3, y = 2 and z = 1; find the value of y2 – x2 + 6z2

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

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If x = 3, y = 2 and z = 1; find the value of xy + y2z – 4zx

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If P = − 12x2 – 10xy + 5y2, Q = 7x2 + 6xy + 2y2, and R = 5x2 + 2xy + 4y2 ; find P – Q

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If P = − 12x2 – 10xy + 5y2, Q = 7x2 + 6xy + 2y2, and R = 5x2 + 2xy + 4y2 ; find Q + P

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If P = − 12x2 – 10xy + 5y2, Q = 7x2 + 6xy + 2y2, and R = 5x2 + 2xy + 4y2 ; find P – Q + R

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If P = − 12x2 – 10xy + 5y2, Q = 7x2 + 6xy + 2y2, and R = 5x2 + 2xy + 4y2 ; find P + Q + R

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If x = a2 – bc, y = b2 – ca, and z = c2 – ab; find the value of ax + by + cz

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If x = a2 – bc, y = b2 – ca, and z = c2 – ab; find the value of ay – bx + cz

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Multiply and then evaluate:

(4x + y) and (x – 2y); when x = 2 and y = 1.

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Multiply and then evaluate:

(x2 – y) and (xy – y2); when x = 1 and y = 2.

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Multiply and then evaluate:

(x – 2y + z) and (x – 3z); when x = − 2, y = − 1 and z = 1.

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Simplify:

5 (x + 3y) – 2 (3x – 4y)

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Simplify:

3x – 8 (5x – 10)

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Simplify:

6 {3x – 8 (5x – 10)}

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Simplify:

3x – 6 {3x – 8 (5x – 10)}

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Simplify:

2 (3x2 – 4x – 8) – (3 – 5x – 2x2)

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Simplify:

`8"x"−(3"x"−overline(2"x"-3))`

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

Simplify:

`12"x"^2-(7"x"-overline(3"x"^2+15))`

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined

If x = − 3, find the value of 2x3 + 8x2 – 15.

[20] Substitution (Including Use of Brackets as Grouping Symbols)
Chapter: [20] Substitution (Including Use of Brackets as Grouping Symbols)
Concept: undefined >> undefined
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