Expanding brackets – question trade Answer Question 2x 3(2x + 4) 3 Answer Question 2x 5(2x + 1) +1 5 Answer Question 3 4(3 – 2x) - 2x 4 Answer Question 4x 7(4x + 1) +1 7 Answer Question x 3(x - 5) -5 3 Answer Question 3x 8(3x – 1) © www.teachitmaths.co.uk 2012 +4 -1 8 16890 Page 1 of 8 Expanding brackets – question trade Answer Question 2x 7(2x - 1) 7 Answer Question 3x 4(3x + 4) +4 4 Answer Question x 2(x + 1) +1 2 Answer Question 2 3(2 - 3x) - 3x 3 Answer Question x 7(x - 6) -6 7 Answer Question 4x 2(4x + 1) © www.teachitmaths.co.uk 2012 -1 +1 2 16890 Page 2 of 8 Expanding brackets – question trade Answer Question x 8(x - 3) 8 Answer Question x 5(x + 6) +6 5 Answer Question 3x 4(3x - 2) -2 4 Answer Question 3x 7(3x - 4) © www.teachitmaths.co.uk 2012 -3 -4 7 16890 Page 3 of 8 Expanding brackets – question trade Answer Question -6 -2(-6 - 2x) -2 Answer Question 8x -4(8x - 3) -3 -4 Answer Question 3 -5(3 + 4x) + 4x -5 Answer Question 3 -6(3 - 2x) - 2x -6 Answer Question 2 -8(2 - 4x) - 4x -8 Answer Question 8 -2(8 + 7x) © www.teachitmaths.co.uk 2012 - 2x + 7x -2 16890 Page 4 of 8 Expanding brackets – question trade Answer Question x -3(x + 1) -3 Answer Question 2x -2(2x + 5) +5 -2 Answer Question 2x -3(2x - 3) -3 -3 Answer Question 6 -7(6 - 2x) - 2x -7 Answer Question 4x -5(4x + 3) +3 -5 Answer Question 9 -6(9 - 4x) © www.teachitmaths.co.uk 2012 +1 - 4x -6 16890 Page 5 of 8 Expanding brackets – question trade Answer Question 4x -4(4x - 3) -4 Answer Question 6 -3(6 - 8x) - 8x -3 Answer Question 2 -5(2 + 2x) + 2x -5 Answer Question 6x -2(6x + 3) © www.teachitmaths.co.uk 2012 -3 +3 -2 16890 Page 6 of 8 Expanding brackets – question trade Answer sheet You will be given a card consisting of a question and an answer space. Fill in the answer and fold down the middle to create a double-sided card. Find a partner and test each other with each of your question cards. Record each question and answer in the table below. Once you have answered each other’s questions correctly, swap cards and find a different partner. Your aim is to find and answer all questions in the set (you may not need all the spaces – your teacher will tell you how many cards there are to find). Question Answer Question 1 17 2 18 3 19 4 20 5 21 6 22 7 23 8 24 9 25 10 26 11 27 12 28 13 29 14 30 15 31 16 32 © www.teachitmaths.co.uk 2012 16890 Answer Page 7 of 8 Expanding brackets – question trade Teaching notes This resource contains two sets of cards: The green set uses positive multipliers. The blue set uses negative multipliers. The sets can be used separately (16 cards in each) or together to give a mix of questions (32 cards). Each set uses the layout for the grid method to expand brackets. Print the cards and cut along the dotted lines only, creating long cards each with a question and answer space. Give one card and one answer sheet to each student, asking them to complete their own double-sided question card by filling in the answer then folding the card down the middle. The instructions for students are given on the answer sheets, but they may need clarification on what to do if they meet the same question twice – they should still answer the questions and trade cards, but they should not record the answer again on their sheet. Answers Green set Blue set Question Answer Question Answer 3(2x + 4) 6x + 12 -2(-6 – 2x) 12 + 4x 5(2x + 1) 10x + 5 -4(8x – 3) -32x + 12 4(3 – 2x) 12 – 8x -5(3 + 4x) -15 – 20x 7(4x + 1) 28x + 7 -6(3 – 2x) -18 + 12x 3(x – 5) 3x – 15 -8(2 – 4x) -16 + 32x 8(3x – 1) 24x – 8 -2(8 + 7x) -16 – 56x 7(2x – 1) 14x – 7 -3(x + 1) -3x – 3 4(3x + 4) 12x + 16 -2(2x + 5) -4x - 10 2(x + 1) 2x + 2 -3(2x – 3) -6x + 9 3(2 – 3x) 6 – 9x -7(6 – 2x) -42 + 14x 7(x – 6) 7x – 42 -5(4x + 3) -20x – 15 2(4x + 1) 8x + 2 -6(9 – 4x) -54 + 24x 8(x – 3) 8x – 24 -4(4x – 3) -16x + 12 5(x + 6) 5x + 30 -3(6 – 8x) -18 + 24x 4(3x – 2) 12x – 8 -5(2 + 2x) -10 – 10x 7(3x – 4) 21x - 28 -2(6x + 3) -12x - 6 © www.teachitmaths.co.uk 2012 16890 Page 8 of 8
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