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​ALGEBRA 1 STATE TEST PRACTICE

Write a function f(x)

4/26/2021

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Emerson has $120.  Each week he saves an additional $15.  Write a function f(x) that models the total amount
of money Emerson has after x weeks.

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Relative Frequency

4/21/2021

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Casey asks a random sample of students at his high school about their natural hair and eye colors.  The results of his survey are shown in the relative frequency table.
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In the sample, there are 4 more students with brown hair and blue eyes than blonde hair and blue eyes.  
How many total students have black hair?

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Finding percentage from a chart

4/19/2021

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An analyst researches the relationship between different energy sources in each state for 2015.  The data in the table show the number of states that use coal and nuclear power as an energy source.
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Given that a state does not use nuclear power, what percentage of those states use coal?

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Find the first term of the sequence

4/15/2021

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The values of several terms of a sequence are shown in the table.
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Find the first term, f(1).

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Transformation of a Function

4/13/2021

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Function f(x) undergoes a single transformation to create function g(x).  The graphs of both f(x) and g(x) are shown.  Create a function rule for g(x) in terms of f(x).
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System of equations for sum and difference

4/12/2021

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What two numbers have a sum of 217 and a difference of 85?

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What does the constant term represent?

3/29/2021

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Henry places x marbles into an empty bucket.  Each marble has the same weight.  
The weight, in ounces, of the bucket and marbles can be calculated using the expression shown.

​3x + 8

What does the term 8 represent in this expression?
A.)  the weight of each marble
B.)  the weight of the empty bucket
C.)  the number of marbles in the bucket
D.)  the total weight of the bucket and marbles

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Bird Drops a Stick - Interpret the Maximum of the Function

3/24/2021

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​A bird drops a stick from the top of Miami Tower.  The height of the stick after x seconds is given by
f(x) = 625 - 16x².

Select all the correct interpretations of the coordinates of the point at the maximum
of the function f(x). 

A.)  the time it takes the stick to hit the ground
B.)  the time when the stick is at its highest point
C.)  the height of the stick when it is dropped from the top of Miami Tower
D.)  the time when the stick is dropped from the top of Miami Tower
E.)  the distance of the stick from Miami Tower when it hits the ground

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Transformation of a Function

3/22/2021

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The figure shows the graphs of the functions
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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Exponential growth

3/18/2021

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Combined estimates for Etosha National Park and the Northwestern Population
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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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