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​Algebra 1   State Test Practice

Exponential growth

3/25/2015

 
Combined estimates for Etosha National Park and the Northwestern Population
Picture
The elephant population in northwestern Namibia and Etosha National Park can be predicted by the expression 2,649(1.045)^b, where b is the number of years since 1995.

What does the value 2,649 represent?

A.)  the predicted increase in the number of elephants in the region each year
B.)  the predicted number of elephants in the region in 1995
C.)  the year when the elephant population is predicted to stop increasing
D.)  the percentage the elephant population is predicted to increase each year

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Transformation of a linear graph

3/24/2015

 
Picture
The figure shows the graphs of the function y = f(x) and y = g(x).  The four indicated points all have integer coordinates.
If g(x) = k ∙ f(x), what is the value of k?

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Zeros of a quadratic equation

3/23/2015

 
Part A
Which expression could represent a rational number?
A.)  -b
B.)  a + b
C.)  ab
D.)  b²
Part B
Consider a quadratic equation with integer coefficients and two distinct zeros.  If one zero is irrational, which statement is true about the other zero?
A.)  The other zero must be rational.
B.)  The other zero must be irrational.
C.)  The other zero can be either rational or irrational.
D.)  The other zero must be non-real.
Use the information provided to answer Part A and Part B.

Let a represent a non-zero rational number and let b represent an irrational number.

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Algebra House
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