Like Terms
To be successful in algebra, you must know how to
identify .) The distributive property is not difficult, but
until you train your eyes to look for signs … it can be a pretty tricky operation! You must multiply the number like terms
that precedes a parenthesis by all numbers (including the signs) within that parenthesis. When you are first learning, it may be helpful to
give yourself plenty of room to see the and the sign of the expression. For example, terms_{
} would look simpler if you would space out each
so that you could see where the term begin and end. Then the expression would look like this …terms_{
}
_{} _{} _{}
_{
} _{}There are
four _{
}
, _{
}, _{
}
,
and _{
}.The
distributive property would have to be performed on both the second and fourth terms (since
these terms contain parentheses.) In the second
term
that can be combined to simplify the expression. Here’s what the expression would look like
with new spacing …like
terms
(which is the number that sits in front of the term) the variable or variables (if there
is more than one) have to be exactly alike … same letter/s, same exponent/s. We can combine the termscoefficient_{
}, _{
}, _{
}, and _{
},
since they all have an “_{}” after the
coefficient. This involves adding or
subtracting the coefficients … _{
}. _{
} would then be the new coefficient for the “_{}”
term. Combing the _{
} and _{
} would produce _{
} (since they are both constant terms, then they are
like terms which can be combined).The result would be _{
}= _{
} as the simplification of the above
expression.The views and
opinions expressed in this page are strictly those of Mary Lou Baker. This page was edited on 09-Jan-2014 |