G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

 

Year 10 Interactive Maths - Second Edition


Equations Containing Brackets

To solve an equation containing brackets, we may proceed as follows:

Remove the brackets by expanding according to the Distributive Law. Collect the pronumeral terms on the left-hand side of the equation and the numerical terms on the right-hand side of the equation by using the same operation(s) on both sides of the equation. Then solve the equation by applying the same operation to both sides of it.

Example 7

Solve 4(p + 5) = 35 for p.

Solution:

First use the Distributive Law, then subtract 20 from both sides before dividing both sides by 4 to find p = 3 3/4.


Example 8

Solve 14 = 28 + 7(1 - c) for c.

Solution:

Use the Distributive Law, then subtract 14 from both sides, add 7c to both sides and finally divide both sides by 7 to find c = 3.

 

Study Another Topic in Chapter 2: Linear Equations and Inequalities

Solving Equations ] Equations Involving Two or More Operations ] [ Equations Containing Brackets ] Equations Containing Fractions ] Problem Solving ] Consecutive Numbers ] Solving 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 ] Inequalities Involving Two Operations ] Inequalities Containing Brackets ] Inequalities Containing Fractions ] Transposition of Formulas ] Transpositions Involving Subtraction ] Transpositions Involving Division ] Transpositions Involving Multiplication ] Transpositions Involving Squares ] Transpositions Involving Square Roots ] Transpositions Involving Brackets ] Transpositions Involving Fractions ] Transpositions Involving Two or More Operations ] Subject Occurring Twice ] Substitution ] Problem Solving ] Problem Solving Unit ] Symbols ] Index ]

 

Study Another Chapter
 

| Home Page | Order Software | About the Series | Maths Software Tutorials

| Year 7 Maths Software | Year 8 Maths Software | Year 9 Maths Software |

| Year 10 Maths Software | Home Software | Desktop Schools |

| Notebook Schools | Tutor Software | Software Platform | Trial Software |

| Feedback | Year 7 Maths Reading | Year 8 Maths Reading |

| Year 9 Maths Reading | Year 10 Maths Reading | About mathsteacher.com.au |

| Our Policies | Terms and Conditions | Links | Contact |

 

Our www.mathssoftware.co.nz Website is now available for New Zealanders.

 

Copyright © 2000-2009 mathsteacher.com Pty Ltd.  All rights reserved.

Australian Business Number 53 056 217 611

 

Please read the Terms and Conditions of Use of this Website and our Privacy and Other Policies.

If you experience difficulties when using this Website, tell us through the feedback form or by
phoning one of our contact telephone numbers.