NEXT GENERATION ACCUPLACER /MATH | UPDATE|COMPREHENSIVE
FREQUENT MOST-TESTED QUESTIONS AND VERIFIED
ANSWERS/SOLUTIONS|GET IT 100% ACCURATE!!
What is x in log3(x) = 5 - ANSWER-= 3^5 = 243
log(base)x = (y)
(x) = (base)^(y)
loga(m^r) =
- base = (a) - ANSWER-= r ( loga m )
- base = (a)
Define in terms: loge(x)
- base = (e) - ANSWER-= natural log
- more commonly seen as = ln(x)
ln(e^x) = - ANSWER-= (x)
,e^(lnx) = - ANSWER-= (x)
If given: log(x) what is the "common base" used - ANSWER-= 10 = log10(x)
Change into fraction form: loga(x) - ANSWER-= (logb(x)/logb(a))
- (b) = common base - 10
- (x) = UP
- (base "a") = DOWN
State the equation of an ellipse - ANSWER-
State the equation of a circle
& define all variables - ANSWER-r^2 = (x-h)^2 + (y-k)^2
(r) = radius
(h,k) = the "center" of the circle at (x,y)
State the equation of an parabola - ANSWER-
,State the equation of an hyperbola - ANSWER-
If an expression = [4^(x+4)] - how do we lower the exponent so we can solve -
ANSWER-
If a question asks for the inverse function of a function - how do we solve -
ANSWER-= switch the variables (x) and (y) and solve for (y)
If a translation moves the graph of f(x) h units to the LEFT - (h) would = - ANSWER-
= (h>0) - "positive" #
- comparing graphs (x=y) and (x = y+1)
If a translation moves the graph of f(x) h units to the RIGHT - (h) would = -
ANSWER-= (h<0) - "negative" #
- comparing graphs (x=y) and (x = y-1)
State the arithmetic sequence formula
& define all variables - ANSWER-[an = a1 (n-1)d]
a1 = the first term in the sequence
an = the nth term at n position of series
d = difference
, Define - "ordered pairs" - ANSWER-= (x, y)
= a single point on a coordinate plane
Define - "origin" - ANSWER-= (0,0)
= the point where two axes meet
Explain - "quadrants" - ANSWER-= when the two axes (x and y) cross they form 4
quadrants
Explain what - "the distance" means
Define - "distance formula" for a line(s) - ANSWER-= "distance" - the length
between two points on a plane - (x1, y1), (x2, y2)
* does not have to be forming a line
*distance is ALWAYS positive
= (Distance (d) = "square root" all over -
[( x2-x1)^2 + (y2-y1)^2]
Explain what - "the midpoint" means
FREQUENT MOST-TESTED QUESTIONS AND VERIFIED
ANSWERS/SOLUTIONS|GET IT 100% ACCURATE!!
What is x in log3(x) = 5 - ANSWER-= 3^5 = 243
log(base)x = (y)
(x) = (base)^(y)
loga(m^r) =
- base = (a) - ANSWER-= r ( loga m )
- base = (a)
Define in terms: loge(x)
- base = (e) - ANSWER-= natural log
- more commonly seen as = ln(x)
ln(e^x) = - ANSWER-= (x)
,e^(lnx) = - ANSWER-= (x)
If given: log(x) what is the "common base" used - ANSWER-= 10 = log10(x)
Change into fraction form: loga(x) - ANSWER-= (logb(x)/logb(a))
- (b) = common base - 10
- (x) = UP
- (base "a") = DOWN
State the equation of an ellipse - ANSWER-
State the equation of a circle
& define all variables - ANSWER-r^2 = (x-h)^2 + (y-k)^2
(r) = radius
(h,k) = the "center" of the circle at (x,y)
State the equation of an parabola - ANSWER-
,State the equation of an hyperbola - ANSWER-
If an expression = [4^(x+4)] - how do we lower the exponent so we can solve -
ANSWER-
If a question asks for the inverse function of a function - how do we solve -
ANSWER-= switch the variables (x) and (y) and solve for (y)
If a translation moves the graph of f(x) h units to the LEFT - (h) would = - ANSWER-
= (h>0) - "positive" #
- comparing graphs (x=y) and (x = y+1)
If a translation moves the graph of f(x) h units to the RIGHT - (h) would = -
ANSWER-= (h<0) - "negative" #
- comparing graphs (x=y) and (x = y-1)
State the arithmetic sequence formula
& define all variables - ANSWER-[an = a1 (n-1)d]
a1 = the first term in the sequence
an = the nth term at n position of series
d = difference
, Define - "ordered pairs" - ANSWER-= (x, y)
= a single point on a coordinate plane
Define - "origin" - ANSWER-= (0,0)
= the point where two axes meet
Explain - "quadrants" - ANSWER-= when the two axes (x and y) cross they form 4
quadrants
Explain what - "the distance" means
Define - "distance formula" for a line(s) - ANSWER-= "distance" - the length
between two points on a plane - (x1, y1), (x2, y2)
* does not have to be forming a line
*distance is ALWAYS positive
= (Distance (d) = "square root" all over -
[( x2-x1)^2 + (y2-y1)^2]
Explain what - "the midpoint" means
