ALEKS Math Placement Exam (Latest 2024/ 2025 Update) Questions and Verified Answers| 100% Correct| Grade A what is absolute value? - ANSWER distance from zero on a number line if you get a negative absolute value, why is it said to not have a solution? - ANSWER because distance can't be negative what are integers? - ANSWER all whole negative and positive numbers when should u switch the sign on an inequality? - 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? - 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 1 / 3
what to do when vertical shifting a graph? - 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? - 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? - ANSWER there's no solution a pair of coordinates represent a function if what? - ANSWER 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? - ANSWER move the negative exponent to the numerator and make it positive 2 / 3
when using elimination, what is the first step you have to do? - 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? - ANSWER V=pi r squared h what units is volume always in? - ANSWER cubed how do u find the perfect square term? - 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? - 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? - 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
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