Transcription of Simultaneous Equations (Linear) - MME
1 Simultaneous Equations ( linear )(Level 5-6)21(a)Solve the Simultaneous Equations below.(Level 5)6 +3 =122 +6 =14[3 marks] = =1(b)Solve the Simultaneous Equations 5 =163 +2 =5[3 marks] = =Turn over for next questionTurn over 632(a)Solve the Simultaneous Equations below.(Level 5)2 +4 =144 4 =4[3 marks] = =2(b)Solve the Simultaneous Equations =232 +3 =8[3 marks] = =Turn over for next questionTurn over 623 Two different families pay for entry intoa water park. (Level 5)Family 1 has 2 adults and 3 children and costs a total of 20 to enter the park. Family 2 has 1 adult and 4 children and costs a total of 15 to enter the park. Work out the cost of the adult ticket, and the child ticket. [4 marks]Adult ticket = Child ticket = Turn over 454 Sophie is selling studentand parent tickets for a school performance.(Level 5)On night one, she sells 50 student tickets and 80 parent tickets and makes night two, she sells 25 student tickets and 50 parent tickets and makes is the cost for 1 student ticket and the cost for 1 parent ticket?
2 [4 marks]Priceof student ticket = Priceof parent ticket = Turn over 465(a)Solve the Simultaneous Equations below.(Level 5)4 +8 = 42 5 =23[ 3 marks] = =5(b)Write down the coordinates for the point of intersection for thelines +8 = 42 5 =23[1 mark]Point of Intersection =(,)Turn over 476 Andrew goes to the shop to buy some apples and bananas.(Level 6)He goes to purchase 5 apples and 4 bananas, and the total comes to Unfortunately, he doesn t have enough money, so he puts back 1 apple and 2 bananas. The new total is What is the cost of 1 apple and the cost of 1 banana?[3 marks]Priceof apple = Priceof banana = Turn over for next questionTurn over 337 Two Simultaneous Equations are given below, where and are constants. (Level 6)3 =44 3 + =0 The solution to these Equations is =1, = the value of and .[4 marks]AnswerTurn over for next questionTurn over 498 Examine the rectangle below:(Level 6)8(a)The area of the rectangle is 88cm2.
3 What is the value of a?[1 mark] =cm8(b)Using the information from the diagram, what is the value of and ?[3 marks] = =End of questionsENDNot drawn accurately48cmacm(2 + )cm( 4 +3 )cm
