Forming and Solving Equations Practice
Forming and Solving Equations Example
The diagram below shows a forming and solving equations example. The forming and solving equations example states that (x + 2), (x + 3) and (x + 4) have a sum of 21. First equation is formed by adding the expressions together. We know to 'add' rather than multiply or subtract because we are finding the 'sum'. Sum means total. x + 2 + x + 3 + x + 4 simplifies to 3x + 9. For practice on simplifying expressions try simplifying expressions questions. To solve the equation 3x + 9 = 21. we subtract 9 from both sides using the balancing method or the function machine method.
How to Form and Solve Equations
Forming and solving equations questions often involve knowing properties of shape, perimeters and area of 2d shapes. Often students will need to know the area of rectangles, the area of triangles and other shapes, as well as the perimeter of quadrilaterals and triangles from memory. To brush up on the area of 2d shapes see, area of 2d shapes worksheets. In the example below a rectangle has sides x and (x + 2). The units are not stated but implied as centimetres. To find an expression for the perimeter all four sides are added together, the answer is 4x + 4. To work out an expression for the area, the length and width are multiplied together. The answer is x2 + 2x. There are two extra practice questions in this example. The answers are; 1) 7 and 2) 99cm2. Units must be stated with the answer.