# Algebra 1 - E2020 Unit Test

## Unlock all answers in this set

question
Isaak is writing an explicit formula to represent the sequence. 64, 112, 196, 343, ... What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.
1.75
question
Which is equivalent to 216 ^1/3? (3,6,36, 0r 72)
6
question
A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2. Which value can be used as the common ratio in an explicit formula that represents the sequence?
1/2
question
What is the domain of f(x) = 5^x -7?
{x|x is a real number}
question
Lena is asked to write an explicit formula for the graphed geometric sequence. What value, written as a decimal, should Lena use as the common ratio?
2.5
question
A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. When writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio?
0.989
question
Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?
(2, 18)
question
When 9^2/3 is write-in simplest radical form, which value remains under the radical? (3, 6, 9 or 27)
3
question
What is the simplified base for the function f(x) = 2(3β27(2x)? (2, 3, 9 or 18)
9
question
Which is equivalent to β10^3/4x?
4β10^3x
question
The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown. What is the domain of g(x)?
all real numbers
question
Which graph represents exponential decay?
d.
question
What is the range of f(x) = (3/4)^x - 4?
{y | y >-4}
question
Which is the graph of f(x) = 1/4(4)^x?
Graph d (points 1,1 ; 2,4; etc)
question
Which value of "a" in the exponential function f(x) = a(1/3)^X would cause the function to stretch?
a smaller value in relation to the parent function
question
Which is equivalent to 80^1/4x?
(80/4)^x
question
The graph of g(x) is at the result of translating the graph of f(x) =3^x six units to the right. What is the equation of g(x)?
g(x) =3^x-6
question
Which formula can be used to describe the sequence -2/3, -4, -24, -144?
f(x)=2/3(-6)^x-1
question
Which graph represents a geometric sequence?
graph a. /
question
An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?
The two functions have opposite output values of each other for any given input value.
question
After 1 year, a bank account contains \$7,746.90. After 2 years, the same account contains \$7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)
y = 7595(1.02)x
question
Which function represents exponential decay?
f(x) = 4(2/3)x
question
The function f(x) = 5(1/5)x is reflected over the y-axis. Which equations represent the reflected function? Check all that apply.