college algebra formulas questions
with best solutions
Steps to Complete the Square - answers1. Move Constant to the right
2. Add (coefficient/2)^2 to both sides
3. Square both sides
4. Split into 2 possible solutions
5. Get 2 solutions
quadratic formula - answers
compound interest formula - answers
simple interest formula - answers
distance formula - answersD=R X T
complex numbers - answers
discriminant formula - answersif D> 0: 2 real solutions
if D<0: 2 non-real solutions
if D=0 : exactly 1 solution
factor by grouping - answers
inequality signs - answers
when the inequality sign changes - answersif you multiply or dividing both sides of the
inequality by a negative number it changes the direction of the sign
when the inequality sign does not change - answersif you add or subtract both sides of
the inequality
solving a compound inequality with and - answersit will involve the word and- first solve
each inequality separately- then find the intersection of the two solution sets
interval notation of compound inequalities with the word or - answerswill have the union
sign U
greater/ less than or equal to - answersfilled in circle
greater than/ less than - answersopen circle
, quadrants - answers
midpoint formula - answers
distance formula - answers
standard form of a circle - answerscenter of the circle: (h,k)
radius: r
general form of a circle - answers
converting general form to standard form - answersfind the center, radius, and
intercepts, rearrange the terms then complete the square then factor
positive slope - answers
negative slope - answers
zero slope - answers
slope - answersm= rise/ run
point slope form - answersm: slope of the line
slope intercept form - answersm: slope
b: y intercept
standard form slope and y intercept - answersAx + By = C slope: m= -A/B
y intercept: C/B
horizontal line equation - answersy = b b: the y coordinate of any point on the line
two non-vertical lines are parallel if - answersthey have the same slopes
two non-vertical lines are perpendicular if - answersthe product of their slopes is -1
vertical line test - answers
when saying if a function is increasing, decreasing, or constant in interval notation use -
answersparentheses and not brackets
even function - answerssymmetric across the y axis
odd function - answerssymmetric across the origin
with best solutions
Steps to Complete the Square - answers1. Move Constant to the right
2. Add (coefficient/2)^2 to both sides
3. Square both sides
4. Split into 2 possible solutions
5. Get 2 solutions
quadratic formula - answers
compound interest formula - answers
simple interest formula - answers
distance formula - answersD=R X T
complex numbers - answers
discriminant formula - answersif D> 0: 2 real solutions
if D<0: 2 non-real solutions
if D=0 : exactly 1 solution
factor by grouping - answers
inequality signs - answers
when the inequality sign changes - answersif you multiply or dividing both sides of the
inequality by a negative number it changes the direction of the sign
when the inequality sign does not change - answersif you add or subtract both sides of
the inequality
solving a compound inequality with and - answersit will involve the word and- first solve
each inequality separately- then find the intersection of the two solution sets
interval notation of compound inequalities with the word or - answerswill have the union
sign U
greater/ less than or equal to - answersfilled in circle
greater than/ less than - answersopen circle
, quadrants - answers
midpoint formula - answers
distance formula - answers
standard form of a circle - answerscenter of the circle: (h,k)
radius: r
general form of a circle - answers
converting general form to standard form - answersfind the center, radius, and
intercepts, rearrange the terms then complete the square then factor
positive slope - answers
negative slope - answers
zero slope - answers
slope - answersm= rise/ run
point slope form - answersm: slope of the line
slope intercept form - answersm: slope
b: y intercept
standard form slope and y intercept - answersAx + By = C slope: m= -A/B
y intercept: C/B
horizontal line equation - answersy = b b: the y coordinate of any point on the line
two non-vertical lines are parallel if - answersthey have the same slopes
two non-vertical lines are perpendicular if - answersthe product of their slopes is -1
vertical line test - answers
when saying if a function is increasing, decreasing, or constant in interval notation use -
answersparentheses and not brackets
even function - answerssymmetric across the y axis
odd function - answerssymmetric across the origin
