ALEKS Math PPL Formulas Questions
and Answers
y=ax²+bx+c, -2b/a - ANS-standard form of a parabola
a quadratic function in the form y=a(x-h)^2+k, where (h,k) is the vertex of the parabola
and x=h is its axis of symmetry - ANS-vertex form of a parabola
find the gcf of two numbers, find the common variables and pick the least exponent and
multiply - ANS-GCF of two monomials
a^2 -b^2 = (a+b)(a-b) - ANS-difference of squares
a^2+2ab+b^2= (a+b)^2
a^2-2ab+b^2=(a-b)^2 - ANS-perfect squares (add/subtract)
a^3-b^3=(a-b)(a^2+ab+b^2)
a^3+b^3=(a+b)(a^2-ab+b^2) - ANS-difference and sum of cubes
a^3+3a^2b+3ab^2+b^3= (a+b)^3
a^3-3a^2b+3ab^2-b^3=(a-b)^3 - ANS-perfect cubes
I=prt - ANS-simple interest
find the lcd 1st - ANS-solving equations with many fractions and a variable
less than, discount, off--> subtract 100
sale price/percent of reg. price - ANS-finding original price given sales price and
discount
1/a^m - ANS-a^-m
a^m - ANS-1/a^-m
a^m/k - ANS-1/ka^-m
V=πr²h - ANS-volume of a cylinder
(xsqrtA)^y - ANS-(A^1/x)^y
1/2πr^2 - ANS-semicircle area
and Answers
y=ax²+bx+c, -2b/a - ANS-standard form of a parabola
a quadratic function in the form y=a(x-h)^2+k, where (h,k) is the vertex of the parabola
and x=h is its axis of symmetry - ANS-vertex form of a parabola
find the gcf of two numbers, find the common variables and pick the least exponent and
multiply - ANS-GCF of two monomials
a^2 -b^2 = (a+b)(a-b) - ANS-difference of squares
a^2+2ab+b^2= (a+b)^2
a^2-2ab+b^2=(a-b)^2 - ANS-perfect squares (add/subtract)
a^3-b^3=(a-b)(a^2+ab+b^2)
a^3+b^3=(a+b)(a^2-ab+b^2) - ANS-difference and sum of cubes
a^3+3a^2b+3ab^2+b^3= (a+b)^3
a^3-3a^2b+3ab^2-b^3=(a-b)^3 - ANS-perfect cubes
I=prt - ANS-simple interest
find the lcd 1st - ANS-solving equations with many fractions and a variable
less than, discount, off--> subtract 100
sale price/percent of reg. price - ANS-finding original price given sales price and
discount
1/a^m - ANS-a^-m
a^m - ANS-1/a^-m
a^m/k - ANS-1/ka^-m
V=πr²h - ANS-volume of a cylinder
(xsqrtA)^y - ANS-(A^1/x)^y
1/2πr^2 - ANS-semicircle area