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T3 Rev WS5

T3 Rev WS5. Setting Up Algebraic Equations. Q1). When a certain number is increased by 7, the result is 18. x + 7 = 18 When a number is decreased by 2 and the result multiplied by 3, the final result is 24. 3( x – 2) = 24.

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T3 Rev WS5

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  1. T3 Rev WS5 Setting Up Algebraic Equations

  2. Q1) When a certain number is increased by 7, the result is 18. x + 7 = 18 When a number is decreased by 2 and the result multiplied by 3, the final result is 24. 3(x – 2) = 24 In each of the followings, let x denotes the unknown. Derive an equation involving x. Q2)

  3. Q3) When a certain number is subtracted from 24 and the result divided by 5, the final result is 4. The sum of three consecutive numbers is 63. Let the first number be x, x + (x + 1) + (x + 2) = 63 Q4)

  4. Q5) Six times of a certain number is 16 more than twice the number. 6x = 16 + 2x The length of a rectangle is twice its width and the perimeter is 54 m. Let the width = x m 2(2x + x) = 54 Q6)

  5. Q7) Peter has five times as much money as David. If Peter gives $28 to David, both of them will have equal amounts of money. How much money did Peter have at the beginning? • Let the amt David has at the beginning = $x • Amt Peter has at the beginning = $5x 5x – 28 = x + 28 … (DIY) … x = 14 Peter has $70 in the beginning.

  6. Q8) There are a total of 225 pupils in Secondary one. If the number of pupils who pay their school fees through GIRO scheme is 14 times the number of pupils who do not, find the number of pupils who did not join the scheme.

  7. Q8) There are a total of 225 pupils in Secondary one. If the number of pupils who pay their school fees through GIRO scheme is 14 times the number of pupils who do not, find the number of pupils who did not join the scheme. • Let the no. of pupils who did not join GIRO scheme = x • No. of pupils who join GIRO scheme = 225 – x 225 – x = 14x … (DIY) … x = 15  15 pupils did not join the GIRO scheme

  8. Q9) $4800 is divided among three brothers A, B and C. A receives three times as much as B and C receives twice as much as B. If B receives $x, form an equation in x. • Amt B receives = $x •  Amt A receives = $3x • & Amt C receives = $2x • The required equation is 3x + x + 2x = 4800

  9. Q10) Three wallets and two handbags cost $450 and a handbag costs twice as much as a wallet. If a wallet costs $x, form an equation in x. • Given that the cost of a wallet = $x •  The cost of a handbag = $2x • The required equation is 3x + 2(2x) = 450

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