ALEKS EXAM 2023 WITH 100%CORRECT ANSWERS

what is absolute value? – correct answer distance from zero on a number line
if you get a negative absolute value, why is it said to not have a solution? – correct answer because
distance can’t be negative
what are integers? – correct answer all whole negative and positive numbers
when should u switch the sign on an inequality? – correct answer 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? – correct answer
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? – correct answer 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? – correct answer 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? – correct answer there’s no solution
a pair of coordinates represent a function if what? – correct answer they don’t have the same xcoordinates


if you have a negative exponent as a denominator and one as the numerator, what rule can you follow
to make the numerator positive? – correct answer move the negative exponent to the numerator and
make it positive
when using elimination, what is the first step you have to do? – correct answer 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? – correct answer V=pi r squared h
what units is volume always in? – correct answer cubed
how do u find the perfect square term? – correct answer 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? – correct answer 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? – correct answer 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? – correct answer 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? – correct answer a ratio of two integers, also fractions and squares that equal
integers
what is formula for area of a semicircle – correct answer a=1/2r^2
what is formula for area of a triangle – correct answer 1/2bh

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