Properties
f + g = g + f
Commutative Property of Addition
Evaluate. 5 + (-3) - (-1)
3
Evaluate.
(-3)^3
-27
Translate.
five times a number
5n
Evaluate.
3 + 4 * 5
23
Simplify.
3(a + b)
3a + 3b
c(1) = c
Multiplicative Identity Property
Evaluate. 2/5 * 1/2 * 5/2
1/2
Evaluate.
(7^0)^-12
1
Translate.
eight minus twice the square root of six
8 - 2sqrt(6)
Evaluate.
(2 - 9)*3^2
-63
Simplify.
x^2 + 3x + 5x +8x^2
9x^2 + 8x
9(0) = 0
Zero Property of Multiplication
Evaluate. -6.399 + 22.34
15.941
Simplify. Write your answer with positive exponents.
(x^8)/(x^11)
1/(x^3)
Translate.
the sum of a number and 3 more than the number
n + (n + 3)
Evaluate.
4 + 6(-3 + 10)
46
Simplify.
ab + 2ab^2 + 3ab - 5ab^2
4ab - 3ab^2
a^xa^y = a^(x+y)
Product of Powers Property
-11/30
-11/30
Evaluate.
1/(4^-3)
64
The volume of a sphere is four-thirds pi times the radius cubed
(4/3)pir^3
Evaluate.
4^3 -: 2^3 -: 2
4
Simplify.
-2y^2 + 14y
-2y^2 + 14y
12.5 + (-12.5) = 0
Additive Inverse Property
Evaluate. (1/2) / (1/3)
3/2
Evaluate.
(5^-3)^2/(2^-1(5^-7))
10
Translate.
the product of 3 consecutive numbers
n(n + 1)(n + 2)
Evaluate when a = 8, b = 5, and c = 3.
(c + ab)/(a + b - 2c)
-43/7
Evaluate when a = 2 and b = 8.
5(4a^2 + b)
120