CLEP College Algebra exam with 100%
correct answers 2025
additive inverse to a - ANSWER--a
| | | | |
multiplicative inverse to a (when a does not =0) - ANSWER-1/a
| | | | | | | | | |
raising expression to a negative exponent - ANSWER-1/b^n
| | | | | | |
multiplying expressions with powers - ANSWER-x^n + x^m = X^m+n
| | | | | | | | |
raising expressions to powers - ANSWER-(x^m)^n = x^mn
| | | | | | |
diving expressions with powers - ANSWER-x^m/ x^n = x^m-n
| | | | | | | |
fractional exponents - ANSWER-x^1/2 = sq rt. X
| | | | | | | |
x^m/n = n rt. of x^m
| | | | |
multiplying radicals - ANSWER-(sq a)(sq b) = sq ab
| | | | | | | |
factoring diff. of two squares - ANSWER-x^2-y^2 = (x-y)(x+y)
| | | | | | | |
factoring perfect squares - ANSWER-x^2+2xy+y^2=(x+y)^2
| | | |
, x^2-2xy+y^2=(x-y)^2
factoring: sum and difference of 2 cubes - ANSWER-
| | | | | | | |
x^3+y^3=(x+y)(x^2-xy+y^2)
x^3-y^3=(x-y)(x^2+xy+y^2)
slope of line (given two points) - ANSWER-m = rise over run y2-y1/x2-
| | | | | | | | | | | |
x1
equation of line slope-intercept form (given m and y-intercept) -
| | | | | | | | |
ANSWER-y=mx+b m is slope and b is y intercept
| | | | | | | | |
point slope form (given two points) - ANSWER-(y-y1)=m(x-x1)
| | | | | | |
intercept form (given x and y intercept) - ANSWER-x/a + y/b =1
| | | | | | | | | | |
slope of perpendicular lines - ANSWER-inverses on each other ex.
| | | | | | | | |
m=b inverse slope is 1/2
| | | | |
discriminant used to determine the number of real solutions -
| | | | | | | | |
ANSWER-b^2-4ac = > 0 is 2 real solutions
| | | | | | | |
=0 is 1 real solution
| | | |
< 0 is 0 real or 2 imaginary solutions
| | | | | | | |
logarithm addition - ANSWER-log a + log b = log ab
| | | | | | | | | |
correct answers 2025
additive inverse to a - ANSWER--a
| | | | |
multiplicative inverse to a (when a does not =0) - ANSWER-1/a
| | | | | | | | | |
raising expression to a negative exponent - ANSWER-1/b^n
| | | | | | |
multiplying expressions with powers - ANSWER-x^n + x^m = X^m+n
| | | | | | | | |
raising expressions to powers - ANSWER-(x^m)^n = x^mn
| | | | | | |
diving expressions with powers - ANSWER-x^m/ x^n = x^m-n
| | | | | | | |
fractional exponents - ANSWER-x^1/2 = sq rt. X
| | | | | | | |
x^m/n = n rt. of x^m
| | | | |
multiplying radicals - ANSWER-(sq a)(sq b) = sq ab
| | | | | | | |
factoring diff. of two squares - ANSWER-x^2-y^2 = (x-y)(x+y)
| | | | | | | |
factoring perfect squares - ANSWER-x^2+2xy+y^2=(x+y)^2
| | | |
, x^2-2xy+y^2=(x-y)^2
factoring: sum and difference of 2 cubes - ANSWER-
| | | | | | | |
x^3+y^3=(x+y)(x^2-xy+y^2)
x^3-y^3=(x-y)(x^2+xy+y^2)
slope of line (given two points) - ANSWER-m = rise over run y2-y1/x2-
| | | | | | | | | | | |
x1
equation of line slope-intercept form (given m and y-intercept) -
| | | | | | | | |
ANSWER-y=mx+b m is slope and b is y intercept
| | | | | | | | |
point slope form (given two points) - ANSWER-(y-y1)=m(x-x1)
| | | | | | |
intercept form (given x and y intercept) - ANSWER-x/a + y/b =1
| | | | | | | | | | |
slope of perpendicular lines - ANSWER-inverses on each other ex.
| | | | | | | | |
m=b inverse slope is 1/2
| | | | |
discriminant used to determine the number of real solutions -
| | | | | | | | |
ANSWER-b^2-4ac = > 0 is 2 real solutions
| | | | | | | |
=0 is 1 real solution
| | | |
< 0 is 0 real or 2 imaginary solutions
| | | | | | | |
logarithm addition - ANSWER-log a + log b = log ab
| | | | | | | | | |
