11/18/24, 10:26 AM uc davis ; math placement |2024-2025 LATEST UPDATE COMPREHENSIVE QUESTIONS (Frequently Most Tested) AND V…
uc davis ; math placement |2024-2025 LATEST
UPDATE COMPREHENSIVE QUESTIONS
(Frequently Most Tested) AND VERIFEID
ANSWERS (100% accurate)|GET IT A+
Practice questions for this set
Learn 1 /7 Study with Learn
ax + ay = a(x + y)
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distributive law 2 simple trinomial
3 translations 4 dividing fractions
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Terms in this set (42)
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, 11/18/24, 10:26 AM uc davis ; math placement |2024-2025 LATEST UPDATE COMPREHENSIVE QUESTIONS (Frequently Most Tested) AND V…
- 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 ≠
properties of exponents
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
- 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)
operations with (multiply exponents)
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)
- logb(1) = 0
log basics
- logb(b) = 1
- logb(b^x) = x
inverse properties of logs
- b^(logb (x)) = x
- logb(x) + logb(y) = logb ( x • y)
laws of logarithms - logb(x) - logb(y) = logb(x/y)
- n • logb(x) = logb (x^n)
distributive law ax + ay = a(x + y)
simple trinomial x^2 + (a + b)x + (a • b) = (x + a)(a + b)
- x^2 - a^2 = (x - a)(x + a)
difference of squares - x^4 - a^4 = (x^2 - a^2)(x^2 + a^2) = (x - a)(x + a)(x^2 +
a^2)
sum or difference of - x^3 + a^3 = (x + a)(x^2 - ax + a^2)
cubes - x^3 - a^3 = (x - a)(x^2 + ax + a^2)
https://quizlet.com/972863997/uc-davis-math-placement-2024-2025-latest-update-comprehensive-questions-frequently-most-tested-and-verifeid-a… 2/8
uc davis ; math placement |2024-2025 LATEST
UPDATE COMPREHENSIVE QUESTIONS
(Frequently Most Tested) AND VERIFEID
ANSWERS (100% accurate)|GET IT A+
Practice questions for this set
Learn 1 /7 Study with Learn
ax + ay = a(x + y)
Give this one a try later!
distributive law 2 simple trinomial
3 translations 4 dividing fractions
Don't know?
Terms in this set (42)
https://quizlet.com/972863997/uc-davis-math-placement-2024-2025-latest-update-comprehensive-questions-frequently-most-tested-and-verifeid-a… 1/8
, 11/18/24, 10:26 AM uc davis ; math placement |2024-2025 LATEST UPDATE COMPREHENSIVE QUESTIONS (Frequently Most Tested) AND V…
- 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 ≠
properties of exponents
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
- 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)
operations with (multiply exponents)
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)
- logb(1) = 0
log basics
- logb(b) = 1
- logb(b^x) = x
inverse properties of logs
- b^(logb (x)) = x
- logb(x) + logb(y) = logb ( x • y)
laws of logarithms - logb(x) - logb(y) = logb(x/y)
- n • logb(x) = logb (x^n)
distributive law ax + ay = a(x + y)
simple trinomial x^2 + (a + b)x + (a • b) = (x + a)(a + b)
- x^2 - a^2 = (x - a)(x + a)
difference of squares - x^4 - a^4 = (x^2 - a^2)(x^2 + a^2) = (x - a)(x + a)(x^2 +
a^2)
sum or difference of - x^3 + a^3 = (x + a)(x^2 - ax + a^2)
cubes - x^3 - a^3 = (x - a)(x^2 + ax + a^2)
https://quizlet.com/972863997/uc-davis-math-placement-2024-2025-latest-update-comprehensive-questions-frequently-most-tested-and-verifeid-a… 2/8
