GRE Quantitative with Correct Answers
Commutative Property - correct answers-A + B = B + A
AxB=BxA
Associative Property - correct answers-A + (B + C) = (A + B) + C
A x (B x C) = (A x B) x C
Distributive Property - correct answers-a(b + c) = ab + ac
Prime Numbers (2 through 97) - correct answers-2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,
37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Prime Factorization - correct answers-A number written as the product of its prime
factors; examples: 10 = 2 • 5, 24 = 2 x 2 x 2 x 3 or 2^3 • 3.
Greatest Common Factor/Divisor - correct answers-The largest factor/divisor that two or
more numbers have in common.
Least Common Multiple - correct answers-The smallest common multiple of two or more
numbers.
Divisibility Rules - correct answers-3: sum of digits divisible by 3
4: last two digits divisible by 4
5: last digit is either 0 or 5
6: even number, sum of digits divisible by 3
8: last three digits divisible by 8
9: sum of digits divisible by 9
Fast Fractions - correct answers-1/x + 1/y = x + y/xy
Absolute Value - correct answers-The distance a number is from zero on the number
line. ALWAYS POSITIVE.
|x| = x, |-x| = x
Exponent Laws - correct answers-(x^a)(x^b) = x^(a+b)
x^a/x^b = x^(a-b)
(x^a)^b = x^(ab)
0^x = 0
x^0 = 1
x^(-y) = 1/x^y
x^(1/2) = square root of x
, x^(1/3) = cube root of x
Simplifying Expressions - correct answers-(6xy + 5y) - (4xy - 3y) = 2xy + 8y
(5y^3)(6y^2) = 30y^5
(a + b)^2 = a^2 + 2ab + b^2
(a - b)^2 = a^2 - 2ab + b^2
(a^2 - b^2) = (a + b)(a - b)
Quadratic Equations - correct answers-f(x) = ax² + bx + c = 0, a≠0.
(x + a)(x - b): x = -a, b
Quadratic Formula - correct answers-x = -b ± [√(b² - 4ac)]/2a
Factoring Using GCF - correct answers-6x^3 + 12x^2 + 33x = 3x(2x^2 + 4x + 11)
Factoring Using Difference of Squares - correct answers-(a + b)(a - b) = a^2 - b^2
(2x + 5)(2x - 5) = 4x^2 - 25
4x^2 - 9y = (2x + 3y)(2x - 3y)
Solving Equations - correct answers-(a/b)(b/a) = 1
2/5x = 8
(5/2)(2/5x) = (5/2)(8)
x = 20
Cross-Multiplication - correct answers-a/b = c/d --> ad = bc
Elimination Method - correct answers-(6x + 2y = 34) + (2x - 2y = 6)
8x = 40
x=5
Total Degrees of a Polygon - correct answers-180(n - 2), where n = number of sides
Average Degrees Per Side of Congruent Polygon - correct answers-180(n - 2) / n
Area of a Triangle - correct answers-1/2bh or bh/2
30-60-90 Triangle Properties - correct answers-x : x root 3 : 2x
Isosceles Right Triangle - correct answers-x : x : x root 2
Pythagorean Theorem - correct answers-a^2 + b^2 = c^2, where a and b are the shorter
sides and c is the hypotenuse. For use on Right Triangles.
Commutative Property - correct answers-A + B = B + A
AxB=BxA
Associative Property - correct answers-A + (B + C) = (A + B) + C
A x (B x C) = (A x B) x C
Distributive Property - correct answers-a(b + c) = ab + ac
Prime Numbers (2 through 97) - correct answers-2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,
37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Prime Factorization - correct answers-A number written as the product of its prime
factors; examples: 10 = 2 • 5, 24 = 2 x 2 x 2 x 3 or 2^3 • 3.
Greatest Common Factor/Divisor - correct answers-The largest factor/divisor that two or
more numbers have in common.
Least Common Multiple - correct answers-The smallest common multiple of two or more
numbers.
Divisibility Rules - correct answers-3: sum of digits divisible by 3
4: last two digits divisible by 4
5: last digit is either 0 or 5
6: even number, sum of digits divisible by 3
8: last three digits divisible by 8
9: sum of digits divisible by 9
Fast Fractions - correct answers-1/x + 1/y = x + y/xy
Absolute Value - correct answers-The distance a number is from zero on the number
line. ALWAYS POSITIVE.
|x| = x, |-x| = x
Exponent Laws - correct answers-(x^a)(x^b) = x^(a+b)
x^a/x^b = x^(a-b)
(x^a)^b = x^(ab)
0^x = 0
x^0 = 1
x^(-y) = 1/x^y
x^(1/2) = square root of x
, x^(1/3) = cube root of x
Simplifying Expressions - correct answers-(6xy + 5y) - (4xy - 3y) = 2xy + 8y
(5y^3)(6y^2) = 30y^5
(a + b)^2 = a^2 + 2ab + b^2
(a - b)^2 = a^2 - 2ab + b^2
(a^2 - b^2) = (a + b)(a - b)
Quadratic Equations - correct answers-f(x) = ax² + bx + c = 0, a≠0.
(x + a)(x - b): x = -a, b
Quadratic Formula - correct answers-x = -b ± [√(b² - 4ac)]/2a
Factoring Using GCF - correct answers-6x^3 + 12x^2 + 33x = 3x(2x^2 + 4x + 11)
Factoring Using Difference of Squares - correct answers-(a + b)(a - b) = a^2 - b^2
(2x + 5)(2x - 5) = 4x^2 - 25
4x^2 - 9y = (2x + 3y)(2x - 3y)
Solving Equations - correct answers-(a/b)(b/a) = 1
2/5x = 8
(5/2)(2/5x) = (5/2)(8)
x = 20
Cross-Multiplication - correct answers-a/b = c/d --> ad = bc
Elimination Method - correct answers-(6x + 2y = 34) + (2x - 2y = 6)
8x = 40
x=5
Total Degrees of a Polygon - correct answers-180(n - 2), where n = number of sides
Average Degrees Per Side of Congruent Polygon - correct answers-180(n - 2) / n
Area of a Triangle - correct answers-1/2bh or bh/2
30-60-90 Triangle Properties - correct answers-x : x root 3 : 2x
Isosceles Right Triangle - correct answers-x : x : x root 2
Pythagorean Theorem - correct answers-a^2 + b^2 = c^2, where a and b are the shorter
sides and c is the hypotenuse. For use on Right Triangles.
