CLEP COLLEGE ALGEBRA QUESTIONS
AND ANSWERS 100% COR RECT
Question : additive inverse to a
CORRECT ANSWER: -a
Question : multiplicative inverse to a (when a does not =0)
CORRECT ANSWER: 1/a
Question : raising expression to a negative exponent
CORRECT ANSWER: 1/b^n
Question : multiplying expressions with powers
CORRECT ANSWER: x^n + x^m = X^m+n
Question : raising expressions to powers
CORRECT ANSWER: (x^m)^n = x^mn
Question : diving expressions with powers
CORRECT ANSWER: x^m/ x^n = x^m-n
Question : fractional exponents
CORRECT ANSWER: x^1/2 = sq rt. X x^m/n = n rt. of
x^m
Question : multiplying radicals
CORRECT ANSWER: (sq a)(sq b) = sq ab
Question : factoring diff. of two squares
CORRECT ANSWER: x^2-y^2 = (x-y)(x+y)
Question : factoring perfect squares
CORRECT ANSWER: x^2+2xy+y^2=(x+y)^2x^2-
2xy+y^2=(x-y)^2
Question : factoring: sum and difference of 2 cubes
CORRECT ANSWER: x^3+y^3=(x+y)(x^2-xy+y^2)x^3-
y^3=(x-y)(x^2+xy+y^2)
Question : slope of line (given two points)
CORRECT ANSWER: m = rise over run y2-y1/x2-x1
Question : equation of line slope-intercept form (given m and
y-intercept)
CORRECT ANSWER: y=mx+b m is slope and b is y
intercept
Question : point slope form (given two points)
CORRECT ANSWER: (y-y1)=m(x-x1)
Question : intercept form (given x and y intercept)
CORRECT ANSWER: x/a + y/b =1
Question : slope of perpendicular lines
CORRECT ANSWER: inverses on each other ex. m=b
inverse slope is 1/2
Question : discriminant used to determine the number of real
solutions
CORRECT ANSWER: b^2-4ac = > 0 is 2 real solutions=0
is 1 real solution< 0 is 0 real or 2 imaginary solutions
Question : logarithm addition
CORRECT ANSWER: log a + log b = log ab
Question : logarithm subtraction
CORRECT ANSWER: log a - log b = log a/b
Question : logarithm power rule
CORRECT ANSWER: log a^b = b log a
Question : arithmetic sequence
CORRECT ANSWER: an= a1 + (n-1)d
Question : sum of arithmetic sequences
CORRECT ANSWER: Sn= n/2[2a1+(n-1)d] orSn= n/2
(a1+a2)
Question : geometric sequence
CORRECT ANSWER: an=a1r^n-1 where a1 is the first
term, r is the common ratio and n is number of terms
Question : sum of geometric sequences
CORRECT ANSWER: Sn= [a1(1-r^n)]/ 1-r
Question : sum of infinite geometric sequences
CORRECT ANSWER: Sn= a1/1-r a1 is the first term, r is
the common ratio, and n is the number of terms
Question : factorial
CORRECT ANSWER: n! = n(n-1)(n-2)... 3(2)(1)
Question : combination of n choose r
CORRECT ANSWER: nCr= n!/r!(n-r)!
Question : determinant of 2x2 matrix
CORRECT ANSWER: a bc d = ad-bc
Question : find the additive inverse of (expression)
CORRECT ANSWER: solve the equation for y: y + (expression) = 0it is the negative of the expression