ALGEBRA II: L3 Exponents and Relations
In order to write an expression like (5x + 4)3 in expanded form, it helps to look at (5x + 4) as just one number, n.
(5x + 4)(5x + 4)(5x + 4)
Simplify the expression. 5^0
1
Simplify the expression. Enter your answer in simplified fraction form; example: 1/2. 10^−1
1/10
Simplify the expression. Assume all variables are nonzero. 10(y5/x2)^2
10y^10/x^4
Simplify the following expression. Assume all variables are nonzero. (5x^6)^3
125x^18
Simplify the expression. (2/3)^−3
27/8
Simplify the expression: square root 48/square root 3
4
Simplify the following expression. Assume all variables are nonzero. 5uv^6/u^2v^2
5v^4u
Estimate the square root to the nearest tenth: square root 45
6.7
Evaluate rq2 + 3qr + r2 for r = 5 and q = 2.
75
Simplify the expression. Enter a numerical answer. (1/3)^−2
9
Simplify the expression. Assume all variables are nonzero (−3a^2b^3)^2
9a^4b^6
Give the domain and range for the relation shown in the graph.
D: {-2, -1, 0, 1, 2, 3} R: {-3, -2, -1, 0, 1, 2}
Give the domain and range for the relation.
D: {2000, 2001, 2002, 2003} R: {5.39, 5.65, 5.80, 6.03}
Give the domain and range of the relation.
Domain: {-2, -1, 0, 1} Range: {1, -2}
Give the domain and range for the relation.
Domain: {Mon, Tue, Wed, Thu, Fri} Range: {287, 395, 128, 326, 649}
Determine whether the relation is a function.
Function
Determine if the relation from car models to car colors is a function.
Not a Function
Simplify the following expression. Assume all variables are nonzero. c^3d^2(c^−2d^4)
cd^6
Simplify 5h2 + 4k + 7h - 4h2.
h2 + 4k + 7h
Determine if the relation from the number of items in a grocery cart to the total cost of the items in the cart is a function. Type Yes or No.
no
In the expression 7y6, what is the base of the exponential part of the expression?
y
Determine whether the relation is a function. Type Yes or No. { (2, 3), (5, 4), (0, 3), (4, 1) }
yes
Simplify the expression. (−5)−5
−1/3125
Simplify the following expression. Assume all variables are nonzero. (−2a^3b)^−3
−1/8a^9b^3
Simplify the following expression. Assume all variables are nonzero. −2s^−3t(7s^−8t^5)
−14t^6/s^11
Simplify the following expression. Assume all variables are nonzero. −4m(mn^2)^3
−4m^4n^6