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G8 Algebra Assignment 2017

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Grade 8 Algebra Assignment - Mathematics Australian Curriculum
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  Name ___________________________________ Class _________________________ Page 1 of 4 Algebra Assignment: Due 1 If 4   x  and 5   y , the value of the expression  x y  35    is: 2 Substitute 7and4    q p  into the following expressions. a )5(2   q p   c  –  4( q  +  p ) 3  Simplify each of the following expressions by collecting like terms. a  9 a  + 3 b    –   4 a   b  12  x  + 3 + 7  x  + 5 c  12  p 2    –    5 q    –   3  p 2  + q   d    xy 2  + 2  –   2  y 2  + 5  y 2 e  24  x 2  + 3  x 3    –   15  x  + 2  x 3   f   3 mn  + 14 nm    –   2 mn  Name ___________________________________ Class _________________________ Page 2 of 4 2 Simplify each expression. a  4 m     6 n   b  9  x 2  y     5  z c    –  2  pq 2       –  5  p   d  6 rs 2 t  2       –  5  s 2 t e  14  s 2     2 f   28  xy     (2  y) g   15 m     5   2 m   h  8   4  x     16 i  2  x 16   j  27  xy 3  x   k   63  x 2  yz  2 7  xy   l  12  s 2 t  3 6 t   3 Express each of the following as a single fraction. Cancel common factors first. a  6  x 2    49  b  20 n 5    6 m 2  c  36 a 9 b     3 b 2 7  d  45  pq 16    185 q    Name ___________________________________ Class _________________________ Page 3 of 4 4 Expand each expression and simplify by collecting like terms. a  6(  x  + 5) b  2(3  x    –   7) c    –  2(5 w  + 8)  d    –  3(4  –   2  x ) e   12 (6m + 10)  f   5(  x    –   8)  –   2  x g  2  y (6  x    –   8)  –   3  xy   h  3(2  x    –   4  y ) + 5(6  x    –   3) i  4(5  x 2    –   2  x ) + 7(3  x    –     x 2 ) 5 Factorise by taking out a common factor a   6−12   b   15+10−5     Name ___________________________________ Class _________________________ Page 4 of 4 8   Alex buys  x  pencils at b  cents and  y  biros at b  cents. a.   How much did he spend? b.   Factorise the expression  9   A rectangular mattress top has a length of 5  cm and a width of 2 cm. a.   Write an expression for its perimeter.  b.   Write an expression for its area. c.   If all sides are increased by   cm, write an expression for the new perimeter and expand. d.   Find the perimeter when  = 5  cm and  = 3  cm.

ITU p 862

Aug 6, 2018

a-610.pdf

Aug 6, 2018
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