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NSW Y8 Maths

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Pythagoras Working with Numbers Algebra Equations Geometry Area and Perimeter Volume Fractions and Percentages Investigating Data Congruent Figures Probability Rates and Ratios Graphing Linear Equations Time and Travel

NSW Y8 Maths Equations Equation Problems

Resources for Equation Problems

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Equation Problems Theory

For equation problems, the words of the problem have to be translated into a mathematical equation\\ \begin{multicols}{2} \textbf{Example 1}\\ The sum of two consecutive odd numbers is 136. What are the two numbers\\ \textbf{Example 1 solution}\\ Let the smaller number be \(x\), then the larger number is \(x+2\).\\ \(\begin{aligned} \therefore x+x+2 & =136 \\ 2 x+2 & =136 \\ 2 x & =134 \\ x & =67 \\ x+2 & =69 \end{aligned}\)\\ \(\therefore\) The numbers are 67 and 69. \columnbreak \textbf{Example 2}\\ Tom's father is 3 times as old as Tom. After 15 years, Tom's father will be twice as old as Tom. what are the present ages of Tom and his father?\\ \textbf{Example 2 solution}\\ Let \(x=\) Tom's age \\ \(\therefore 3 x=\) father's ages\\ In \(15\) years Tom is \(x+15\) years old and the father is \(3 x+15\) years old\\ \(\begin{aligned} \therefore 2(x+15) & =3 x+15 \\ 2 x+30 & =3 x+15 \\ 2 x+15 & =3 x \\ 15 & =x \end{aligned}\)\\ \(\therefore\) Tom is 15 and father is 45. \end{multicols}

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Videos relating to Equation Problems.

  • Equation Problems - Video - Equation Problems - Example 1

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  • Equation Problems - Video - Equation Problems - Example 2

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