GRE Math
a²-b²=?
(a+b)(a-b)
aⁿ/bⁿ=?
(a/b)ⁿ
aⁿ×bⁿ=?
(a×b)ⁿ
s⁷t⁷=?
(st)⁷
Simplify √[(x+2)²/(x+3)³]
(x+2)/(x/3)²
What are the factors or 2?
-1, -2, 1, 2
What is the cube root of -8?
-2
What is the square root of 25?
-5 and 5
What is 1/600?
.001666
What is 1/20?
.05
What is 1/9 in decimals?
.11111
What is 1/8 in decimals?
.125
What is 1/7 in decimals?
.143
What is 1/6 in decimals?
.166667
What is 2/9?
.2222
What is 3/9?
.3333
What is 3/8 in decimals?
.375
What is 5/8 in decimals?
.625
What is 5/6 in decimals?
.833333
What is 7/8 in decimals?
.875
What is 8/9
.8888
a⁰ = ?
1
What is 1/6 x 2/5?
1/15
a^-1 = ?
1/a¹
What is 35²
1225
What is 115²
13225
What is 39²
1521= (40²-40-39)
Name the first 5 prime numbers
2, 3, 5, 7, 11, 13
What is 1/4 x 8/13?
2/13
Which is bigger, 2/5 or 2/7?
2/5
How do you square a number ending in five?
25 is last two digits. Then remove 5 from the end, and multiply remaining digit(s) with one integer higher. Those are the first digits.
What is the prime factorization of 12?
2x2x3
What is the prime factorization of 14?
2x7
Which is bigger, 3/11 or 3/10?
3/10
Which is greater, 2/5 or 3/6?
3/6 bc moves closer to one
What is 21/35 x 30/42?
3/7
What is 56²
3136 =3025+55+56
What is 81²
3136=6400+80+81
What is the prime factorization of 99?
3x3x11
4/5 or 104/205, which is greater?
4/5 bc moves closer to 1/2
Which is bigger, 3/8 or 4/7?
4/7
Which is greater, 4/9 or 5/8?
5/8
What is 16 x 35
560
5³×5⁴=?
5⁷
What is 25²
625
What is 42 x 15
630
Which is greater, 7/4 or 8/5?
7/4 bc moves closer to 1
What is 85²
7225
Which is greater, 2/5 or 8/11?
8/11 bc moves closer to one
What is the fourth root of -8?
Does not exist.
How do you get the value of (n+1)²?
If you know the value of n², add n²+n+(n+1)
Cathy's salary is 3/7 of Nora's salary and is 5/4 of Teresa's salary. Nora's salary is what fraction of Teresa's salary?
N = 35/12 T ("of" means multiply, "is" means equals)
If you increase numerator and denominator of fraction by same number, does the fraction get bigger or smaller?
Neither, it gets closer to one
Is 1.33333... a rational number
Yes, can be expressed as 4/3
How do you determine the prime factors of 101?
You only need to check up to the square root of the number for primes -- ie only up to 10
What does the graph of x²+y²=100 look like?
a circle
What does the graph of y=x²+6 look like?
a parabola with y intercept of 6
aⁿ/a¹=?
a^(n-1)
aⁿ/a²=?
a^(n-2)
aⁿ×a⁴=?
a^n+4
What are the methods you can use to compare fractions?
add / subtract to num & denominator method (where a/b vs a+c/b+d, moves closer to c/d) or cross multiply method
rational number
any number that can be expressed as the quotient of two integers (a fraction)
What is a composite number?
any positive integer greater than 1 that is not a prime number
(a+b)²=?
a²+2ab+b²
(a-b)³
a³-3a²b+3b²a+b³
(aⁿ)⁴=?
a⁴ⁿ (multiply)
If you increase a numerator and decrease a denominator, does a fraction get bigger or smaller?
bigger
If you make a denominator smaller, does a fraction get bigger or smaller?
bigger
What is a big trick in multiplying fractions?
cancel out anything you can in any numerator/denominator pair before continuing!
3/4 or 5/9, which is greater?
closer to 2/5 so 3/4 is greater
3/5 or 10/12, which is greater?
cross multiply to find out 10/12 is greater
What is the best way to simplify (5/7) = (3/x)?
cross multiply! 5x = 21 so x = 21/5
What is another word for factor?
divisor
What is another word for divisor?
factor
What does "of" mean in a word problem?
multiply
Is 0 positive or negative?
neither
Is 1 a prime number
no
Is pi a rational number
no, cannot be expressed as a fraction
Is 0.01011011101111... a rational number?
nope, irrrational
If you add two different #s to numerator and denominator, what happens?
number moves closer to fraction made of numbers that were added
Figure out circe stuff pplz
ppd
What is the result of 19 divided by 5 using quotients and remainders?
quotient 3 remainder 4
What is the least common multiple of two nonzero integers a and b?
the first nonzero number of which a and b are both factors
What is the greatest common divisor of two nonzero integers a and b?
the greatest number that is a divisor or factor of both a and b
What is prime factorization of a number?
the prime numbers that can be multiplied to get the number
What is a reciprocal?
the reciprocal of a fraction a/b is b/a (flipped)
If you increase numerator and denominator of fraction, does it get bigger or smaller?
unknown
What can you cancel if a/b = c/d?
vertically (GCD between a & b) or horizontally (GCD between a & c) NOT diagonally
All the word problems, please revieq
will the real word problems plz stand up
Solve for x: 4x/35 = 10/49?
x = 25/14 (use vertical and horizontal cancelling)
Solve for x: (12/5x) = 8/15?
x = 9/2 (use vertical and horizontal cancelling)
What is a line that is perpendicular to y = 2x+5?
y=-1/2 (negative reciprocal of slope)
Is 0 an integer?
yes
Is |a+b| greater than or less than |a| + |b|?
|a+b| ≤ |a|+|b|
√a/√b=?
√(a/b)
√a÷√b=?
√(a/b)
(√a)(√b) =?
√(ab)
√a×√b =?
√(ab)
√a+√b=?
√a+√b
√a-√b=?
√a-√b
