variables, constants, balancing
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how to solve questions without using models and replacing the models with algebrato make both sides equal when solving linear equationshow to solve linear equations of with an unknown value.
look out for operators and remember to use logic. remember THE ORDER OF OPERATIONS and the laws. eg. THE COMMUTATIVE LAW OF MULTIPLICATION OF EXPENSIVE IMPORTED BONGANANIAN TILES
The key learning things are 1) we should take note on the terms in the equation2) we should find out what is the variable3)Expand the terms in the bracket
1. Make the two variables compatible 2. Convert + to - 3. Organise the equation
All variables should be on the left-hand side and we are to use different operations to keep the equations balanced.
1: To write the unknown variable on the left2: solve all using BODMAS on both sides before transferring3: Transfer all the unknown on the left and all the numbers on the right
Key points:• Choosing the correct operations suited to keep equations balanced• Expanding correctly• Writing in equations. E.g. 2x = 2+2 x = 2
1. Finding unknown variable through the numbers given2.Using distributive law when removing brackets3. balancing the equation by adding or subtracting the numbers when required to move the number to other side
Have at least 1 variable in every line.Align the equal sign in every lineLook out for special product rulesMake sure the equations on both sides of the equal sign are equal at all times.
LHS = RHS
1. balancing2. taking notes of the terms3.expanding everything
LHS= RHS Expand both brackets
- Both sides of the equation must be equal.- When one side of the equation is affected, both sides are.
We should balance both terms, and each line should consist of the variable.
1) no models allowed2) expansion3) units
Linear equation is like finding an unknown term in an equation Using known terms to find the unknown Balancing is used
1. Expand all the terms in the brackets2. Make both sides equal3. No models
For question c, must put in decimal. But for question b, can put fraction or decimal.If shifting, minus need to become plus.
Key Learning Points1. Linear Equations is using Algebra to substitute an unknown variable.2. The unknown variable can either be a fraction or a whole number.3. Linear Equations can be used to solve word problems (An alternative to Models) and real-world problems (An example is finding the cost of a shirt after discount).