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​ALGEBRA 1 STATE TEST PRACTICE

Finding rate of change, of a line

1/16/2016

 
A 12 foot long wooden beam is supported on both ends.  When a weight load is placed in the center of the beam, it causes the beam to sag.  The sag is called deflection.  The graph shows the deflection of the beam, in inches, as a deflection of the weight load, in pounds, placed in the center of the beam.
Picture
For every 50-pound increase in the weight load, what will be the change in deflection?
A.)  an increase of 0.5 inch
B.)  a decrease of 0.5 inch
C.)  an increase of 0.25 inch
​D.)  a decrease of 0.25 inch

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Determine the domain of the function

1/15/2016

 
A company has developed a new video game console.  After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is f(g) = -250g² + 70,000g - 4,570,000,
​ where g is the number of consoles sold.  What is the domain of the profit function?
A.)  all integers
B.)  all rational numbers
C.)  all integers greater than or equal to 0
D.)  all rational numbers greater than or equal to 0

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Finding a missing constant and zeros of a function

1/14/2016

 
The function f is defined as f(x) = x(x² - 4) - 3x(x - 2).
Part A
An equivalent form of f is given as
f(x) = x(x - 2)(x - a), where a is a constant.
​What is the value of a?
Part B
Which values are zeros of the function, f?
Select all that apply.
A.)  -3     E.)  1
B.)  -2     F.)  2
C.)  -1     G.)  3
D.)  0

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Match the function with the graph

1/13/2016

 
The function f(x) = 2x - 3 has a graph in the xy-coordinate plane.  Select the graph that depicts the solution set of f(x).
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Finding Zeros of a Function

1/12/2016

 
What are the zeros of x(x² + 4x - 12) ?  
Indicate all zeros.
A.)  -12       
B.)  -6
C.)  -3
D.)  -2
E.)  0
F.)  2
G.)  6
H.)  12

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