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Yr 11 MCAT Algebra Practice 4

Yr 11 MCAT Algebra Practice 4. 11. Factorise the following… a) 5a 2 + 45a + 100 = b) a 2 – 81 = c) 2a 2 + 5a + 3 = 12. Solve the following… a) 2a 2 = 72 b) 2a 4 = 128 c) 9(a – 4) 2 + 3 = 84 13. Simplify… a) 4a 5 b 9 = 14a 7 b 3

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Yr 11 MCAT Algebra Practice 4

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  1. Yr 11 MCAT Algebra Practice 4 11. Factorise the following… a) 5a2 + 45a + 100 = b) a2 – 81 = c) 2a2 + 5a + 3 = 12. Solve the following… a) 2a2 = 72 b) 2a4 = 128 c) 9(a – 4)2 + 3 = 84 13. Simplify… a) 4a5b9 = 14a7b3 b) (4a2)0 = c) a + 2b = 2 5 14. What two numbers add to seventeen but subtract to one? 1. Solve these equations… a) 5(a – 3) + 1 = 46 b) (a – 5)(a + 3) = 0 c) 13a – 32 = 7a – 8 2. Expand and simplify… a) (a – 11)(a – 2) = b) 7a(a + 3) + 6(a + 4) = 3. Make y the subject of 5x + 6y – 48 = 0 4. Solve to find both values of a a2 – 5a - 14 = 0 5. Simultaneous solve for a and b 3a + b = 48 3a – 3b = 36 8a + 4 3a 2a + 14 6. Write a simplified expression for the perimeter of this triangle… 7. Write a simplified expression for the area of this triangle… 8. If the total area is actually 90m2 what is the value of a? 9. Simplify… a) (2a4)4 = b) 7a + 9b + a – b + a – 2b = c) 36a8b7 = 18a7b4 d) 4a3b5c x 7ab3c2 = e) 5a - a = 12 12

  2. Yr 11 MCAT Algebra Practice 4 11. Factorise the following… a) 5a2 + 45a + 100 = b) a2 – 81 = c) 2a2 + 5a + 3 = 12. Solve the following… a) 2a2 = 72 b) 2a4 = 128 c) 9(a – 4)2 + 3 = 84 13. Simplify… a) 4a5b9 = 14a7b3 b) (4a2)0 = c) a + 2b = 2 5 14. What two numbers add to seventeen but subtract to one? 1. Solve these equations… a) 5(a – 3) + 1 = 46 b) (a – 5)(a + 3) = 0 c) 13a – 32 = 7a – 8 2. Expand and simplify… a) (a – 11)(a – 2) = b) 7a(a + 3) + 6(a + 4) = 3. Make y the subject of 5x + 6y – 48 = 0 4. Solve to find both values of a a2 – 5a - 14 = 0 5. Simultaneous solve for a and b 3a + b = 48 3a – 3b = 36 5(a-3)=45 8a + 4 3a (a + 4)(a + 5) a2 + 9a + 20 = (a-3)=9 a=12 (a – 9)(a + 9) 5 -3 2a + 14 a is __ or __ 6. Write a simplified expression for the perimeter of this triangle… 7. Write a simplified expression for the area of this triangle… 8. If the total area is actually 90m2 what is the value of a? 9. Simplify… a) (2a4)4 = b) 7a + 9b + a – b + a – 2b = c) 36a8b7 = 18a7b4 d) 4a3b5c x 7ab3c2 = e) 5a - a = 12 12 13a-7a=-8+32 ( )( ) + 3 a + 1 2a 6a=24 a=4 3a 8a + 4 2a + 14 ____ + ______ + ______ = 13a + 18 a2 - 2a + 22 - 11a a2 = 36 = a2 – 13a + 22 a = 6 or - 6 a4 = 64 area (triangle) = 1/2 b x h a = 4 or - 4 area (triangle) = 1/2 (2a + 14) x 3a = 7a2 + 21a + 6a + 24 = 7a2 + 27a + 24 area (triangle) = (a + 7) x 3a = 3a2 + 21a 9(a – 4)2 = 81 (a – 4)2 = 9 or - 3 a – 4 = 3 or 1 a = 7 6y = -5x + 48 3a2 + 21a = 90 y = -5/6x + 8 3a2 + 21a – 90 = 0 . 2 b6 a2 + 7a – 30 = 0 3 -10 a is __ or __ 7 a2 - 3 (a )(a ) = 0 + 10 16 a16 + 2 (a )(a ) = 0 - 7 1 5a +. 10 4b . 10 7 -2 a is __ or __ - 6b 9a = 5a+4b. 10 2 a b3 - (3a – 3b = 36) a4 b8 28 c3 sub b = 3 into eqn 1. a + b = 17 4b = 12 3a + 3 = 48 a - b = 1 - ( ) 4a =. 12 a . 3 3a = 45 b = 3 a + 9 = 17 2b = 18 a = 15 a = 8 b = 9

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