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ALEKS EXAM/106 QUESTIONS AND ANSWERS/100% SCORES
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ALEKS EXAM/106 QUESTIONS ANDANSWERS/100% SCORES
what is absolute value? - -distance from zero on a number line
-if you get a negative absolute value, why is it said to not have a solution? -
-because distance can't be negative
-what are integers? - -all whole negative and positive numbers
-when should u switch the sign on an inequality? - -when you're dividing or
multiplying by a negative number
-why is it that you can have a both negative and positive solution for
absolute value? - -because if your main solution is positive, if u plug that
back into the absolute value bars, you'll still get a positive number. absolute
value always has to be positive, so if you get a negative number its not the
absolute value. remember this numbers that u get are the result, not the
ones u plug in
-what to do when vertical shifting a graph? - -take what's in the parentheses
and put it equal to 0, then translate left or right that exact amount
-when you get 0=0 as the solution to an expression, what does this mean? -
-all real numbers are solutions, because a real number equals a real number
-when you get 0=-3 as the solution, what does this mean? - -there's no
solution
-a pair of coordinates represent a function if what? - -they don't have the
same x-coordinates
-if you have a negative exponent as a denominator and one as the
numerator, what rule can you follow to make the numerator positive? - -
move the negative exponent to the numerator and make it positive
-when using elimination, what is the first step you have to do? - -isolate one
of the variables,you can do this by multiplying both equations by different
variables because they're not equal to each other, so you can do that and
once its all in order just add down
-what is the formula for volume of a cylinder? - -V=pi r squared h
-what units is volume always in? - -cubed
, -how do u find the perfect square term? - -take half of the coefficient term,
then square it
-what's something to keep in mind when you're determining the LCD for one
fraction on one side of the equation and one on the other? - -you have to
multiply both sides of the LCD even if one side already has it, because
they're equal to each other
-what should u remember when solving an absolute value equation that is
different from an absolute value inequality? - -if the solution to the equation
is bigger than 0, then you split them up and consider both solutions, if the
solution is already less than 0, it has no solutions because its already
negative
-the difference between finding a union of a set and the intersection of a
set? - -set of all elements that are in set a or set b for union, set of all
elements that are in set a and set b for intersection
-what is a rational number? - -a ratio of two integers, also fractions and
squares that equal integers
-what is formula for area of a semicircle - -a=1/2r^2
-what is formula for area of a triangle - -1/2bh
-what do u do to find the roots? - -get the expression into quadratic form,
get solutions and set equal to 0
-what happens if you dont get the two identical binomials by grouping? - -
either try grouping them differently or it cant be factored by grouping
-whats one thing u should add in when doing grouping? - -if you have to
factor by 1 to get the identical binomial, then you have to add a +1
-what is the formula for circumference of a circle? - -C= pi x d
-what is an LCM? - -its exactly like the least common denominator but
without the fraction
-what's the first step to solving a quadratic equation needing simplification?
- -foil and get everything on one side, then make it equal 0
-what is the distance formula? - -square root of (x2-x1)^2 + (y2-y1)^2
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