ALEKS EXAM WITH COMPLETE
SOLUTIONS
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 x-coordinates
when solving a radical equation that simplifies to a quadratic, whats something you
have to do at the end that you CANT FORGET? - correct Answer-plug back into the
original equation to see if its a solution
how do u find the excluded values of the domain of a rational function? - correct
Answer-set the denominator equal to 0 and solve
what is a discriminant and what does its value mean? - correct Answer-its the area
under the radical of the quadratic formula, it gives u a hint as to how many solutions the
quadratic expression is going to give you,
, how do you know how many solutions to the quadratic you could have based on the
discriminant? - correct Answer-if its greater than 0, there are 2 solutions, if its less than
0 theres no solutions, if its equal to 0, one real solution
when youre simplifying the ratio of polynomials, what does the -1 rule apply to? - correct
Answer-only if its x-1, 1-x
for the equation of a circle, what will give you the radius? and how do u find the center?
- correct Answer-what its equal to, take the square root of it; the same way you find a
vertex of the parabola, its just h and k
what do you do when it asks you to find all real zero's? - correct Answer-it means that
there needs to be a solution equal to 0, for the equation to equal 0, at least one of the
products has to be equal to 0, so set them equal to 0 and find out
true or false, it is impossible for the square of a real number to be negative - correct
Answer-`true
what is the formula for a parabola> - correct Answer-y=a(x-h)^2+k
what is the formula for a circle? - correct Answer-(x-h)^2 + (y-k)^2= r^2
what are the steps from taking a quadratic equation to parabola form? - correct Answer-
first 2 terms of the quadratic, factor them, half and square to get the coefficient, subtract
the product of the coefficient and the factorer to the constant of the original quadratic
equation, do the diamond thing to get ur binomials and put into parabola form
what does the word OR mean when youre grpahing the solutions for compound
inequalities? - correct Answer-the values of both graphs that will make at least one of
them true
how do you use the union symbol for the "or" inequality? - correct Answer-you have to
denote both of the areas seperatley that need to come together and seperate them by
the union sign
whats one thing to remember when graphing an absolute value equation? - correct
Answer-have to take the absolute value of whats inside the parathenses
when graphing a radical term, whats something you should make sure that under the
radical equals to make a real number? - correct Answer-set it equal to 0 to make sure
its a real number
What is the formula for surface area of a rectangular prism? - correct Answer-A=2(lw +
wh + lh)
How to convert from radians to degrees? - correct Answer-multiply by 180/pi
SOLUTIONS
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 x-coordinates
when solving a radical equation that simplifies to a quadratic, whats something you
have to do at the end that you CANT FORGET? - correct Answer-plug back into the
original equation to see if its a solution
how do u find the excluded values of the domain of a rational function? - correct
Answer-set the denominator equal to 0 and solve
what is a discriminant and what does its value mean? - correct Answer-its the area
under the radical of the quadratic formula, it gives u a hint as to how many solutions the
quadratic expression is going to give you,
, how do you know how many solutions to the quadratic you could have based on the
discriminant? - correct Answer-if its greater than 0, there are 2 solutions, if its less than
0 theres no solutions, if its equal to 0, one real solution
when youre simplifying the ratio of polynomials, what does the -1 rule apply to? - correct
Answer-only if its x-1, 1-x
for the equation of a circle, what will give you the radius? and how do u find the center?
- correct Answer-what its equal to, take the square root of it; the same way you find a
vertex of the parabola, its just h and k
what do you do when it asks you to find all real zero's? - correct Answer-it means that
there needs to be a solution equal to 0, for the equation to equal 0, at least one of the
products has to be equal to 0, so set them equal to 0 and find out
true or false, it is impossible for the square of a real number to be negative - correct
Answer-`true
what is the formula for a parabola> - correct Answer-y=a(x-h)^2+k
what is the formula for a circle? - correct Answer-(x-h)^2 + (y-k)^2= r^2
what are the steps from taking a quadratic equation to parabola form? - correct Answer-
first 2 terms of the quadratic, factor them, half and square to get the coefficient, subtract
the product of the coefficient and the factorer to the constant of the original quadratic
equation, do the diamond thing to get ur binomials and put into parabola form
what does the word OR mean when youre grpahing the solutions for compound
inequalities? - correct Answer-the values of both graphs that will make at least one of
them true
how do you use the union symbol for the "or" inequality? - correct Answer-you have to
denote both of the areas seperatley that need to come together and seperate them by
the union sign
whats one thing to remember when graphing an absolute value equation? - correct
Answer-have to take the absolute value of whats inside the parathenses
when graphing a radical term, whats something you should make sure that under the
radical equals to make a real number? - correct Answer-set it equal to 0 to make sure
its a real number
What is the formula for surface area of a rectangular prism? - correct Answer-A=2(lw +
wh + lh)
How to convert from radians to degrees? - correct Answer-multiply by 180/pi
