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​ALGEBRA 1 STATE TEST PRACTICE

Find the zeros and x-coordinate of the vertex

12/22/2014

 
In the xy-coordinate plane, the graph of the equation y = 3x² - 12x - 36 has zeros at x = a and x = b, where a < b.  The graph has a minimum at (c,-48).  What are the values of a, b, and c?
A.)  a = 2, b = 4, c = 2
B.)  a = -2, b = 6, c = 2
C.)  a = -3, b = 3, c = 0
D.)  a = 3, b = 6, c = 2

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Equivalent equations and solutions to equation

12/21/2014

 
Use the information provided to answer Part A and Part B.
Consider the equation (x² + 3)² + 21 = 10x² + 30.
Part A
Let u = x² + 3.  Which equation is equivalent to
(x² + 3)² + 21 = 10x² + 30 in terms of u?
A.)  u² + 10u + 51 = 0
B.)  u² - 10u + 51 = 0
C.)  u² + 10u + 21 = 0
D.)  u² - 10u + 21 = 0
Part B
What are the solutions of the equation
(x² + 3)² + 21 = 10x² + 30?  Select all that apply.
A.)  -4            E.)  2
B.)  -3            F.)  3
C.)  -2            G.)  4
D.)  0

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Quadratic function values

12/20/2014

 
The figure shows a graph of the function of f(x) in the xy-coordinate plane, with vertex at (1,9) and the zeros at -2 and 4.


The function g is defined by g(x) = -3x + 2.
Which statements are true?  Select all that apply.
A.)  f(-2) is greater than g(-2)
B.)  f(-1) is less than g(-1)
C.)  f(0) is greater than g(0)
D.)  f(1) is less than g(1)
E.)  f(2) is greater than g(2)
Picture

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Graph of the solution set of the inequality

12/18/2014

 
Which is a graph of the solution set of the inequality  3x - 4y ≤ 24?
Picture
A.)  

Picture
C.)

Picture
B.)

Picture
D.)


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