Grade 6 Advance Lesson Unit 2 Factorising

• Mathematics
• Secondary Education
• Age 11

Grade 7 Advance Lesson Unit 2 Factorising

What is the result of expanding the bracket (3x + 2) by 4?

1. 7x + 8
2. 12x + 2
3. 12x + 8
4. 3x + 8

When expanding the bracket (2a - 5) by 3, what is the correct result?

1. 6a - 15
2. 2a - 15
3. 2a + 3
4. 6a - 5

When expanding (5x - 3) by 2, what is the correct result?

1. 2x - 6
2. 10x - 6
3. 10x - 3
4. 5x - 3

What is the outcome of expanding (6y + 9) by 5?

1. 30y + 45
2. 30y + 9
3. 6y + 45
4. 6y + 9

Expand the following expression: (3x + 4)(2x - 5)

1. 6x^2 + 7x - 20
2. 6x^2 - 7x + 20
3. 6x^2 - 3x - 20
4. 6x^2 - 7x - 20

Simplify: (2a - 5)(a + 3)

1. 2a^2 + a - 15
2. 2a^2 + a + 15
3. 2a^2 - a - 15
4. 2a^2 + 8a - 15

Expand the expression: (x + 2)(x - 4)

1. x^2 - 6x - 8
2. x^2 - 2x + 8
3. x^2 - 2x - 8
4. x^2 + 2x - 8

Simplify: (4y - 3)(3y + 2)

1. 12y^2 - 5y - 6
2. 12y^2 + 5y - 6
3. 12y^2 + 5y + 6
4. 12y^2 - 5y + 6

Expand the following: (5x - 2)(x + 7)

1. 5x^2 + 33x - 14
2. 5x^2 - 33x - 14
3. 5x^2 + 33x + 14
4. 5x^2 + 33x - 7

What is the factorised form of 3x + 6?

1. 3(2x)
2. 6(1 + x)
3. 3x + 6
4. 3(x + 2)

Factorise the expression 4x^2 + 12x.

1. 4(x^2 + 3x)
2. 2x(2x + 3)
3. 2(2x + 6)
4. 4x(x + 3)

What is the factorised form of 5y - 15?

1. 15(1 - y)
2. 5(3 - y)
3. 5(y - 3)
4. 5y - 15

Factorise the expression 9a^2 - 4b^2.

1. (3a + 2b)^2
2. (3a + 2b)(3a - 2b)
3. 9a^2 - 4b^2
4. (3a - 2b)(3a - 2b)

What is the factorised form of 2x^2 - 10x?

1. 2(x^2 - 5x)
2. 2x^2 - 10x
3. 2x(x - 5)
4. 2x(5 - x)

What is the factorised form of 3x + 6?

1. 3x+6
2. 3(x+2)
3. 3(2+x)
4. 6(1+x)

Factorise 5y^2 - 20y.

1. 5(y^2-4)
2. 5y(4-y)
3. 5y(y-4)
4. 5(y-4y)

What is the factorised form of 4x^2 - 12x?

1. 4(x^2-12)
2. 4(x^2-3x)
3. 4x(x-3)
4. 4x(3-x)

Factorise 2a^2b - 4ab^2.

1. 2a^2b(1-2b)
2. 2ab(a-2b)
3. 2ab^2(a-2)
4. 2ab(2b-a)

What is the factorised form of 9m^2 - 25n^2?

1. (3m+5n)(3m-5n)
2. 3(3m-5n)(3m+5n)
3. 9(m^2-25n^2)
4. 9m^2-25n^2

What is the result of (3x + 2)(4x - 5)?

1. 12x^2 - 7x + 10
2. 12x^2 - 7x - 10
3. 12x^2 + 7x + 10
4. 12x^2 + 7x - 10

Simplify (5a - 2)(3a + 4).

1. 15a^2 + 14a - 8
2. 15a^2 - 14a + 8
3. 15a^2 + 14a + 8
4. 15a^2 - 14a - 8

Expand and simplify (2x - 3)(x + 5).

1. 2x^2 - 7x + 15
2. 2x^2 + 7x + 15
3. 2x^2 - 7x - 15
4. 2x^2 + 7x - 15

What is the expansion of (4y - 1)(2y + 3)?

1. 8y^2 - 11y + 3
2. 8y^2 + 11y - 3
3. 8y^2 + 11y + 3
4. 8y^2 - 11y - 3

Determine the expansion of (6x - 7)(x - 4).

1. 6x^2 - 31x + 28
2. 6x^2 + 31x + 28
3. 6x^2 + 31x - 28
4. 6x^2 - 31x - 28