Year 9 - Worksheet 2 Substitute x = 6 and y = 3 then evaluate each expression. 1. 3x 6. 2. x+y 7. 3. 2x + 3y 8. 4. x 2 +y 9. 5. 2(x + y) 10. 3x - 2y x-y 2 18 x-y x y 3x 2y For the following sequences, give the next three numbers. 1. 2, 4, 6, 8, 2. 18, 16, 14, 12, 3. 1, 4, 7, 10, 4. 7, 13, 19, 25, 5. 1, 3, 5, 7, 9, , , , , , , , , , , SUDOKU ISBN: 9781877489143 How many different number sequences can you identify in the pyramid figure above? www.mathscentre.co.nz PUZZLE How many years old is a person if her age now is equal to her age in 3 years × 3, less 3 times her age 3 years ago? MORE SEQUENCES Draw the next pattern to each of the sequences. 1. 1 2 3 5 3 4 2. 7 9 3. 4 7 10 8 10 12 1 4 9 13 4. 5. a=2 CROSS NUMBER b=3 3. 4. 5. 6. 8. 7. 9. 11. 10. 12. Across Down 1. 2. 3. 5. 6. 7. 8. 9. 11. 12. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Year 9, Worksheet 2, Page 2 - www.mathscentre.co.nz 6a 5b 3b + a 4b + a 6c + a 11b + a 3c - b 8b - a 2c 4c - a c=5 3c 9+a 7a 3c - b 3c 12b - 2a 9b + 2a 4b 5c - (b + a) 6c - a ISBN: 9781877489143 2. 1. TEN QUICK QUESTIONS Write the next 3 numbers in the sequences. , , 1. 1, 3, 5, 7, 2. 20, 17, 14, 11, 3. 3, 6, 12, 24, 4. Simplify 4b + 3b 5. 7. Simplify 3a × 4a a6 Simplify a2 If a = 3, calculate 2a - 6 8. Simplify 7a + 2b - 3a - b 9. If a = 4 and b = 2 calculate 3(3b - a). 10. Work out 6. , , , , (a + b) given that a = 4, b = 2. 2 ISBN: 9781877489143 ESSENTIAL SKILLS Substitute the values into each expression. 1. 10a - c 6. (2a + b)2 a = 2 2. 5ab - 3c 7. 2a2 b = 5 3. 8. 5b - c c = 3 4. 3(a + b) 3a - b 2c (b - 2)2 9. 8a2 - 3c2 10. 4(6c - 3b)2 5. Year 9, Homework Sheet 2, Page 3 - www.mathscentre.co.nz WHAT IS THE UNIVERSE MADE OF? Simplify the following expressions. Use your answers to complete the question. 5x3 × 2x2 × 2 2. (2x2)3 3. 9x12 C 4. 3x2 × 8x5 5. (3x)2 R 6. x6 ÷ x3 7. 64x2 I 8. 2x2 × 2x4 × x 9. (2x + 2x)2 10. 20x5 4x3 P 11. 5x7 x3 S 12. 16x16 M 4x8 24x7 E N 4x7 20x5 5x4 5x2 24x7 20x5 4x7 16x2 3x6 20x5 9x2 G A Y T 9x2 8x6 x3 20x5 4x7 Year 9, Worksheet 2, Page 4 - www.mathscentre.co.nz 8x 4x8 20x5 ISBN: 9781877489143 1.