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Algebra · Guided Practice

Expanding Brackets

17 questions with answers and video solutions. Try each one before revealing the answer.

1
Multiply out the brackets and collect like terms
5(x+4)+3(2x+1)\displaystyle 5(x+4)+3(2x+1)
2
Multiply out the brackets and collect like terms
−2(3x+4)+5(2x−5)\displaystyle -2(3x+4)+5(2x-5)
3
Expand x(3x+4)\displaystyle x(3x + 4)
4
Expand 6x(−2x+3)\displaystyle 6x(-2x + 3)
5
Expand the brackets and collect like terms
(x+2)(x+5)\displaystyle (x+2)(x+5)
6
Expand the brackets and collect like terms
(−x+6)(3x−5)\displaystyle (-x+6)(3x-5)
7
Expand and simplify fully
(x+2)(x2+x+3)\displaystyle (x+2)(x^2+x+3)
8
Expand and simplify fully
(2x−1)(7x2+x−5)\displaystyle (2x-1)(7x^2+x-5)
9
2014 P1 Q2
2 Marks

Multiply out the brackets and collect like terms: (2x−5)(3x+1)\displaystyle (2x-5)(3x+1)

10
2015 P1 Q4
3 Marks

Multiply out the brackets and collect like terms: (x−4)(x2+x−2)\displaystyle (x-4)(x^2+x-2)

11
2017 P1 Q4
3 Marks

Expand and simplify (2x+3)(x2−4x+1).\displaystyle (2x+3)(x^{2}-4x+1).

12
2018 P1 Q2
3 Marks

Expand and simplify (3x+1)(x−1)+2(x2−5)\displaystyle (3x+1)(x-1)+2(x^2-5).

13
2019 P1 Q3
3 Marks

Expand and simplify (x+5)(2x2−7x−3).\displaystyle (x+5)(2x^{2}-7x-3).

14
2023 P1 Q2
3 Marks

Expand and simplify (x+7)2+6(x2−10)\displaystyle (x+7)^2+6(x^2-10)

15
2024 P1 Q3
3 Marks

Expand and simplify (x+1)(x2−4x+5).\displaystyle (x+1)(x^2-4x+5).

16
2025 P1 Q2
3 Marks

Expand and simplify (x+3)(x+5)+4(x−2)\displaystyle (x+3)(x+5)+4(x-2)

17
2026 P1 Q1
3 Marks
Expand and simplify
(y+4)(y2−3y+2).\displaystyle (y+4)(y^{2}-3y+2).

Practice questions courtesy of Maths.scot. Full written solutions are on his site — the links above go straight to them.

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