Expanding+&+Factorising

Try the activity below. media type="custom" key="12760468" align="center" Now attempt the questions below. 1. Expand: a) 2(//x// + 3)  b) 3(//a// + 5)  c) 5(//x// - 1)  d) 10(//a// + 1) 2. Remove the grouping symbols: a) //x//(//x// + 7)  b) //a//(//a// - 1)  c) //m//(//m// + 10)  d) //n//(//n// - 3)  e) //a//(2//a// + 1)   3. Expand by removing the parentheses:  a) -2(//x// + 3)  b) -3(//a// + 5)  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">c) -2(//y// - 1)  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">d) -5(//p// - 3) <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">4. Complete the following factorisations: <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">a) 4//x// + 8 = 4(...//x// + ...)  <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">b) 6//a// + 18 = 6(...//a// + ...)  <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">c) 8//a// - 12 = 4(...//a// - ...)   <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">5. Factorise the following by taking out the HCF:  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">a) 2//x// + 10  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">b) 6//a// + 4  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">c) 7//y// + 21  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">d) 28 + 4//x//  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">e) 27 - 3//y// <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Try the activity from the website the below. It takes a while to load. <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Number Patterns <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Now continue with the questions below.
 * __<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Expanding and Factorising __** <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the notes on today's lesson.

<span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">6. Factorise completely: <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">a) 3//ax// + 6//ay//  <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">b) 5//mn// - 10//mp//  <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">c) 4//ab// - 6//bc//  <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">d) 9//pq// - 6//qr// <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">7. Factorise the following by taking out the negative common factor: <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">a) -2//a// - 6  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">b) -5//x// - 15  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">c) -8//m// - 12  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">d) -10//x// - 5 <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">8. Factorise each of the following: <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">