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Exam (elaborations)

ALEKS Exam Study Guide & Practice Questions for Math Assessment

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Prepare for the ALEKS Math Assessment with this focused study and exam review resource designed to help students strengthen their understanding of key mathematics concepts commonly assessed by ALEKS PPL. Coverage may include real numbers, fractions and percentages, equations and inequalities, linear and quadratic functions, exponents and polynomials, rational and radical expressions, exponentials and logarithms, geometry, and trigonometry. ALEKS PPL is an adaptive assessment designed to measure students' mathematics knowledge and readiness for college-level courses, with its placement curriculum spanning hundreds of mathematical topics.

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ALEKS EXAM
what is absolute value? distance from zero on a number line




if you get a negative absolute value, why is it said to not because distance can't be negative
have a solution?



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 because if your main solution is positive, if u plug that back into the absolute
solution for absolute value? 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 all real numbers are solutions, because a real number equals a real number
does this mean?



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 move the negative exponent to the numerator and make it positive
one as the numerator, what rule can you follow to make
the numerator positive?


when using elimination, what is the first step you have to isolate one of the variables,you can do this by multiplying both equations by
do? 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 you have to multiply both sides of the LCD even if one side already has it,
determining the LCD for one fraction on one side of the because they're equal to each other
equation and one on the other?


what should u remember when solving an absolute value if the solution to the equation is bigger than 0, then you split them up and
equation that is different from an absolute value consider both solutions, if the solution is already less than 0, it has no solutions
inequality? because its already negative

, ALEKS EXAM
the difference between finding a union of a set and the set of all elements that are in set a or set b for union, set of all elements that are
intersection of a set? 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 either try grouping them differently or it cant be factored by grouping
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 foil and get everything on one side, then make it equal 0
needing simplification?



what is the distance formula? square root of (x2-x1)^2 + (y2-y1)^2




with absolute value inequalities, do you still have to split yes
them up if the value is greater than 0?



when you split up an absolute value inequality, what's change not only the sign of the solution, but also the sign of the inequality to
something you need to do that you wouldn't do for an correspond
absolute value equation?


when graphing a parabola, what should the coordinates 0,0
of the vertex equal to?



how do u find the other 2 points on each side of the choose 2 values on each side of x=0
parabola?



what is the distance formula word problem formula? distance= time x rate

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