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Algebra: Difference between revisions
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→How to solve an equation
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* property = a rule | * property = a rule | ||
*equality = that both sides of the equation (equal sign) have the same value | *equality = that both sides of the equation (equal sign) have the same value | ||
=== Variable === | |||
* an unknown value represented, usually represented by the letter <math>x </math> | |||
==How to solve an equation== | ==How to solve an equation== | ||
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</math> | </math> | ||
|} | |} | ||
{| class="wikitable" | |||
=== Using Multiplication Property === | |||
{| class="wikitable" style="text-align: center;" | |||
|+Properties of Equality | |+Properties of Equality | ||
! colspan="5" |Multiplication Property | ! colspan="5" |Multiplication Property | ||
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</math> ) | </math> ) | ||
|<math>\frac {\cancel6\times x} \cancel 6 = { | |||
(note: <math>\frac {24} 6 </math> is the same as <math>24\div 6 </math>) | |||
|<math>\frac {\cancel6\times x} \cancel 6 = \frac {24} 6 </math> | |||
|- | |- | ||
|Solution | |Solution | ||
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</math> | </math> | ||
|} | |} | ||
=== Cross-multiplying to solve for <math>x </math> when <math>x </math> is a denominator (bottom of a fraction) === | |||
==== numerator ==== | |||
* numerator is at the top of the fraction | |||
<math>\frac {numerator} 2 </math> | |||
* the numerator represents the number being divided by another number | |||
* i.e., <math>\frac {numerator} 2 </math> = the same as saying, '''<math>{numerator} \div 2 </math>''' | |||
==== denominator ==== | |||
* the denominator is at the bottom of the fraction | |||
<math>\frac 2 {denominator} </math> | |||
* the denominator represents the number dividing into the other number | |||
* .e., <math>\frac 2 {denominator} </math> = the same as saying, '''<math>2 \div {numerator} </math>''' | |||
==== How to solve for <math>x </math> when <math>x </math> is a denominator: "Cross-multiplication" ==== | |||
{| style="text-align: center;" | |||
|+Using Cross-Multipliclation | |||
!<math>\frac 6 x = 8 </math> | |||
!is the same as | |||
!<math>\frac 6 x = \frac 8 1 </math> | |||
|- | |||
| colspan="3" |using cross-multiplication, we can move the variable <math>x </math> to the top of the fraction (numerator) | |||
|- | |||
!<math>\frac 6 x = \frac 8 1 </math> | |||
!is the same as | |||
(using cross-multiplication) | |||
|<math>8x= 6 \times 1 </math> | |||
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[[Category:Math]] | [[Category:Math]] | ||