SAT MATH Complete And Verified
Solutions
\.reflecting across x axis - Answer- (x, -y)
\.reflecting across y axis - Answer- (-x, y)
\.roots - Answer- another term for a quadratic's solutions
\.circle equation central-radius form - Answer- (x-h)^2 + (y-k)^2=r^2
center is point (h, k)
\.circle equation general format - Answer- ax^2+by^2+cx+dy+e=0
a and b must be the same coefficients and you must divide/factor to make them equal 1
-put numbers on left side
-group xs and ys together
-divide left and right side by number all xs and ys share
-take x term coefficient times by 1/2 square it then add to both side of equation
-take y term coefficient times by 1/2 square it then add to both side of equation
-find solutions then done!
\.when give table for g(x) - Answer- just look for where x is in table and it gives you the y
value
,\.when given a quadratic graph and need to find a point - Answer- see how far its "partner
point" is away from the axis of symmetry
\.graph of quadratic with no solution - Answer- does not cross x axis
-if can completely factor quadratic equation then has a solution
\.p(x) - 4 - Answer- the graph is shifted down 4 units
-if was inside () would shift horizontally
\.if have 2 ratios - Answer- make both of them contain one number that is of the same value
\.soh cah toa - Answer- can only be used on right triangles
\.Math model - Answer- 1) read question
2)write down info given
3)look at answers to see similarities/differences
4)should you draw a diagram
5)look for patterns
6)check that your answer answers the question asked
\.slope - Answer- difference btwn y / difference btwn x
(rise over run) (up/over)
-is a rate (not an average and it is not insignificant)
\.slope intercept form - Answer- y=mx+b
, \.point slope form - Answer- y-y1=m(x-x1)
-use if given slope and 1 point (do not need to solve for x intercept)
\.lines that will never intersect - Answer- are parallel
\.if given 1/(fraction) - Answer- it equals the reciprocal of the fraction
\.if told to reflect a line on a graph - Answer- pick a point not the whole line
\.slope = zero - Answer- horizontal line parallel with x axis
-take form y=b
\.standard form of a linear equation - Answer- Ax+By=c
-can not have fractions for the coefficient
-
\.order of operations - Answer- pemdas
\.least common multiple - Answer- smallest number that is multiple of 2+ numbers
-list multiples of the 2 numbers
10- 10 20 30 40 50
-start with number itself
\.greatest common factor - Answer- largest number that goes into 2+ numbers
Solutions
\.reflecting across x axis - Answer- (x, -y)
\.reflecting across y axis - Answer- (-x, y)
\.roots - Answer- another term for a quadratic's solutions
\.circle equation central-radius form - Answer- (x-h)^2 + (y-k)^2=r^2
center is point (h, k)
\.circle equation general format - Answer- ax^2+by^2+cx+dy+e=0
a and b must be the same coefficients and you must divide/factor to make them equal 1
-put numbers on left side
-group xs and ys together
-divide left and right side by number all xs and ys share
-take x term coefficient times by 1/2 square it then add to both side of equation
-take y term coefficient times by 1/2 square it then add to both side of equation
-find solutions then done!
\.when give table for g(x) - Answer- just look for where x is in table and it gives you the y
value
,\.when given a quadratic graph and need to find a point - Answer- see how far its "partner
point" is away from the axis of symmetry
\.graph of quadratic with no solution - Answer- does not cross x axis
-if can completely factor quadratic equation then has a solution
\.p(x) - 4 - Answer- the graph is shifted down 4 units
-if was inside () would shift horizontally
\.if have 2 ratios - Answer- make both of them contain one number that is of the same value
\.soh cah toa - Answer- can only be used on right triangles
\.Math model - Answer- 1) read question
2)write down info given
3)look at answers to see similarities/differences
4)should you draw a diagram
5)look for patterns
6)check that your answer answers the question asked
\.slope - Answer- difference btwn y / difference btwn x
(rise over run) (up/over)
-is a rate (not an average and it is not insignificant)
\.slope intercept form - Answer- y=mx+b
, \.point slope form - Answer- y-y1=m(x-x1)
-use if given slope and 1 point (do not need to solve for x intercept)
\.lines that will never intersect - Answer- are parallel
\.if given 1/(fraction) - Answer- it equals the reciprocal of the fraction
\.if told to reflect a line on a graph - Answer- pick a point not the whole line
\.slope = zero - Answer- horizontal line parallel with x axis
-take form y=b
\.standard form of a linear equation - Answer- Ax+By=c
-can not have fractions for the coefficient
-
\.order of operations - Answer- pemdas
\.least common multiple - Answer- smallest number that is multiple of 2+ numbers
-list multiples of the 2 numbers
10- 10 20 30 40 50
-start with number itself
\.greatest common factor - Answer- largest number that goes into 2+ numbers
