Algebraic expressions and factorisation

Question 1 of 10

Question 1 of 10

Factorise 9y² − 25.

A. (3y − 5)² B. (9y − 5)(y + 5) C. (3y − 5)(3y + 5) D. (3y + 25)(3y − 1)

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Question 2 of 10

Question 2 of 10

Simplify 3a − 2(a − 4b) + b.

A. a + 9b B. a − 7b C. 5a + 9b D. a + 7b

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Question 3 of 10

Question 3 of 10

What is the nth term of the sequence 4, 7, 10, 13, …?

A. n + 3 B. 4n − 1 C. 3n + 4 D. 3n + 1

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Question 4 of 10

Question 4 of 10

Factorise ax + ay − bx − by.

A. (a − b)(x + y) B. (a + b)(x − y) C. (a − b)(x − y) D. (a + b)(x + y)

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Question 5 of 10

Question 5 of 10

Expand (x − 5)².

A. x² − 5x + 25 B. x² − 25 C. x² + 25 D. x² − 10x + 25

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Question 6 of 10

Question 6 of 10

Factorise 2x² + 5x − 12.

A. (2x − 4)(x + 3) B. (2x + 3)(x − 4) C. (2x − 3)(x + 4) D. (x − 3)(2x + 4)

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Question 7 of 10

Question 7 of 10

If a + b = 7 and ab = 10, find a² + b².

A. 49 B. 29 C. 39 D. 9

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Question 8 of 10

Question 8 of 10

Simplify (2x + 3)² − (2x − 3)².

A. 0 B. 24x C. 18 D. 8x²

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Question 9 of 10

Question 9 of 10

Factorise completely 2x³ − 18x.

A. 2(x³ − 9x) B. 2x(x² − 9) C. x(2x − 6)(x + 3) D. 2x(x − 3)(x + 3)

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Question 10 of 10

Question 10 of 10

Factorise x² + 7x + 12.

A. (x + 3)(x + 4) B. (x + 2)(x + 6) C. (x + 1)(x + 12) D. (x − 3)(x − 4)

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