CLEP College Algebra exam with 100- correct answers 2025

CLEP College Algebra exam with 100%
correct answers 2025

additive inverse to a - ANSWER--a
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multiplicative inverse to a (when a does not =0) - ANSWER-1/a
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raising expression to a negative exponent - ANSWER-1/b^n
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multiplying expressions with powers - ANSWER-x^n + x^m = X^m+n
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raising expressions to powers - ANSWER-(x^m)^n = x^mn
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diving expressions with powers - ANSWER-x^m/ x^n = x^m-n
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fractional exponents - ANSWER-x^1/2 = sq rt. X
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x^m/n = n rt. of x^m
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multiplying radicals - ANSWER-(sq a)(sq b) = sq ab
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factoring diff. of two squares - ANSWER-x^2-y^2 = (x-y)(x+y)
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factoring perfect squares - ANSWER-x^2+2xy+y^2=(x+y)^2
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, x^2-2xy+y^2=(x-y)^2


factoring: sum and difference of 2 cubes - ANSWER-
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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-
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x1


equation of line slope-intercept form (given m and y-intercept) -
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ANSWER-y=mx+b m is slope and b is y intercept
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point slope form (given two points) - ANSWER-(y-y1)=m(x-x1)
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intercept form (given x and y intercept) - ANSWER-x/a + y/b =1
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slope of perpendicular lines - ANSWER-inverses on each other ex.
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m=b inverse slope is 1/2
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discriminant used to determine the number of real solutions -
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ANSWER-b^2-4ac = > 0 is 2 real solutions
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=0 is 1 real solution
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< 0 is 0 real or 2 imaginary solutions
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logarithm addition - ANSWER-log a + log b = log ab
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