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Year 9 Interactive Maths - Second Edition


Equations Involving Two or More Operations

To solve a linear equation, we do the same operation(s) to both sides of the equation to collect numerical terms on the right side and pronumeral terms on the left side.

Example 9

Solution:

Recommended Setting Out:


Equations in which x Appears Twice

Example 10

Solution:

Recommended Setting Out:


Problem Solving

Example 11

If three times a number, when diminished by 4, equals 17, what is the number?

Solution:

Let x be the number.
Three times x is 3x, and diminishing this by 4 gives 3x – 4, which we are told equals 17.

So, the number is 7.


Example 12

If 5 less than twice a number is 4 more than the number, what is the number?

Solution:

Let x be the number.
Five less than twice x is 2x , and 4 more than x is x

So, the number is 9.

 

Study Another Topic in Chapter 2: Linear Equations and Inequalities

Linear Equations ] Equations Involving Subtraction ] Equations Involving Multiplication ] Equations Involving Division ] [ Equations Involving Two or More Operations ] Equations Containing Brackets ] Equations Containing Fractions ] Linear Inequalities ] Adding a Number to Each Side of an Inequality ] Multiplying Each Side of an Inequality by a Positive Number ] Dividing Each Side of an Inequality by a Positive Number ] Multiplying Each Side of an Inequality by a Negative Number ] Dividing Each Side of an Inequality by a Negative Number ] Further Inequalities ] Inequalities Containing Brackets ] Inequalities Containing Fractions ] Formulas ] Rearrangement of Formulas ] Transpositions Involving Subtraction ] Transpositions Involving Division ] Transpositions Involving Multiplication ] Further Transpositions ] Transpositions Involving Brackets ] Transpositions Involving Fractions ] Problem Solving ] Problem Solving Unit ] Symbols ] Index ]

 

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