uc davis ; math placement exam 2024 with 100% correct answers
105 views 1 purchase
Course
Uc davis ; math placement
Institution
Uc Davis ; Math Placement
properties of exponents correct answers- whole number exponents: b^n = b • b • b... (n times)
- zero exponent: b^0 = 1; b ≠ 0
- negative exponents: b^-n = 1/(b^n); b ≠ 0
- rational exponents (nth root): ^n√(b) = 1/(b^n); n ≠ 0, and if n is even, then b ≥ 0
- rational exponents: ^n...
uc davis ; math placement
properties of exponents correct answers- whole number exponents: b^n = b • b • b... (n times)
- zero exponent: b^0 = 1; b ≠ 0
- negative exponents: b^-n = 1/(b^n); b ≠ 0
- rational exponents (nth root): ^n√(b) = 1/(b^n); n ≠ 0, and if n is even, then b ≥ 0
- rational exponents: ^n√(b^m) = ^n√(b)^m = (b^(1/n))^m = b^(m/n); n ≠ 0, and if n is even, then b ≥ 0
operations with exponents correct answers- multiplying like bases: b^n • b^m = b^(n + m) (add exponents)
- dividing like bases: (b^n)/(b^m) = n^(n-m) (subtract exponents)
- exponent of exponent: (b^n)^m = b^(n • m) (multiply exponents)
- removing parenthesis: > (ab)^n = a^n • b^n > (a/b)^n = (a^n)/(b^n)
- special conventions: > -b^n = -(b^n); -b^n ≠ (-b)^n
> kb^n = k(b^n); kb^n ≠ (kb)^n
b^n^m = b^(n^m) ≠ ((b^n)^m)
log basics correct answers- logb(1) = 0
- logb(b) = 1
inverse properties of logs correct answers- logb(b^x) = x
- b^(logb (x)) = x
laws of logarithms correct answers- logb(x) + logb(y) = logb ( x • y)
- logb(x) - logb(y) = logb(x/y)
- n • logb(x) = logb (x^n) distributive law correct answersax + ay = a(x + y)
simple trinomial correct answersx^2 + (a + b)x + (a • b) = (x + a)(a + b)
difference of squares correct answers- x^2 - a^2 = (x - a)(x + a)
- x^4 - a^4 = (x^2 - a^2)(x^2 + a^2) = (x - a)(x + a)(x^2 + a^2)
sum or difference of cubes correct answers- x^3 + a^3 = (x + a)(x^2 - ax + a^2)
- x^3 - a^3 = (x - a)(x^2 + ax + a^2)
factoring by grouping correct answersacx^3 + adx^2 +bcx + bd = ax^2(cx + d) + b(cx + d) = (ax^2 + b)(cx + d)
quadratic formula correct answersx = (-b ± √(b² - 4ac))/2a
adding fractions correct answersfind a common denominator ; a/b + c/d = a/b(d/d) + c/d(b/b) = (ad + bc)/bd
subtracting fractions correct answersfind a common denominator ; a/b - c/d = a/b(d/d) - c/d(b/b) = (ad - bc)/bd
multiplying fractions correct answers(a/b)(c/d) = ac/bd
dividing fractions correct answers- invert and multiply ; (a/b)/(c/d) = a/b • d/c = ad/bc
canceling fractions correct answers- ab/ad = b/d
- (ab + ac)ad = (a(b + c))/ad = (b + c)/d
rationalizing fractions correct answers- if the numerator or denominator is √a , multiply by √a/√a
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller QUILLSKY. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $14.99. You're not tied to anything after your purchase.