The Maths Mann – Resources and Links for Mathematics …



ALGEBRASimultaneous Equations, Solving Equations and Factorising Expressions10.3.1641 min38 marks 1.Solve the simultaneous equations3x – y = 18,2x + y = 7.Answer x = ………………………………y = ………………………………[3] 2.Use algebra to solve the following simultaneous equations exactly.Show all your working.2x – y = 3,x + y = 2.Answer x = …………………….………y = ………………….…………[4]3.Solve the equation 3(2x – 5) = 27.Answer x = …..………………………[3] 4.Solve the equation5x – 2 = 10x – 8.Answer x = …….…………………………[2] 5.Solve the equation 3(x – 5) + 2(14 – 3x) = 7.Answer x = …………………[3] 6.Donna sent p postcards and q letters to her friends.(i)The total number of postcards and letters she sent was 12.Write down an equation in p and q.Answer (i) ……………………[1](ii)A stamp for a postcard costs 25 cents and a stamp for a letter costs 40 cents.She spent 375 cents on stamps altogether.Write down another equation in p and q.Answer (ii) ……..……………[1](iii)Solve these equations to find the values of p and q.Answer (iii) p = …..and q =….[3]7.The cost of a pen is x cents and the cost of a ruler is y cents.2 pens and 3 rulers have a total cost of 57 cents.5 pens and 1 ruler have a total cost of 58 cents.(i)Write down two equations in x and y.Answer (i) …………………………………………[2](ii)Find the value of x and the value of y.Answer (ii) x = ….……………y = ….……………[4] 8.Factorise completely xy2 – x2y.Answer ……………………..[2] 9.Factorise completely 2x2 – 6xy.Answer ……………..……………………[2]10.(a)Expand the bracket and simplify the expression7x + 5 – 3(x – 4).Answer (a) ……….…………………….……[2](b)Factorise 5x2 – 7x.Answer (b) ……….…………………….……[1] 11.(a)Expand and simplify 4(5c – 3d) – 7c.Answer (a) …………………………[2](b)Factorise m2 – mn.Answer (b) …………………………[1] 12.Expand the brackets and simplify3x2 – x(x – 3y).Answer …………….…………..[2] ................
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