CLEP College Algebra Exam Questions with Correct Answers Graded A+

CLEP College Algebra Exam Questions with Correct Answers Graded A+ additive inverse to a - Answers -a multiplicative inverse to a (when a does not =0) - Answers 1/a raising expression to a negative exponent - Answers 1/b^n multiplying expressions with powers - Answers x^n + x^m = X^m+n raising expressions to powers - Answers (x^m)^n = x^mn diving expressions with powers - Answers x^m/ x^n = x^m-n fractional exponents - Answers x^1/2 = sq rt. X x^m/n = n rt. of x^m multiplying radicals - Answers (sq a)(sq b) = sq ab factoring diff. of two squares - Answers x^2-y^2 = (x-y)(x+y) factoring perfect squares - Answers x^2+2xy+y^2=(x+y)^2 x^2-2xy+y^2=(x-y)^2 factoring: sum and difference of 2 cubes - Answers 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) - Answers m = rise over run y2-y1/x2-x1 equation of line slope-intercept form (given m and y-intercept) - Answers y=mx+b m is slope and b is y intercept point slope form (given two points) - Answers (y-y1)=m(x-x1) intercept form (given x and y intercept) - Answers x/a + y/b =1 slope of perpendicular lines - Answers inverses on each other ex. m=b inverse slope is 1/2 discriminant used to determine the number of real solutions - Answers b^2-4ac = > 0 is 2 real solutions =0 is 1 real solution < 0 is 0 real or 2 imaginary solutions logarithm addition - Answers log a + log b = log ab logarithm subtraction - Answers log a - log b = log a/b logarithm power rule - Answers log a^b = b log a arithmetic sequence - Answers an= a1 + (n-1)d sum of arithmetic sequences - Answers Sn= n/2[2a1+(n-1)d] or Sn= n/2 (a1+a2) geometric sequence - Answers an=a1r^n-1 where a1 is the first term, r is the common ratio and n is number of terms sum of geometric sequences - Answers Sn= [a1(1-r^n)]/ 1-r sum of infinite geometric sequences - Answers Sn= a1/1-r