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​ALGEBRA 1 STATE TEST PRACTICE

Comparing values of functions

12/11/2017

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



​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 greater than g(-1)
C.)  f(0) is greater than g(0)
D.)  f(1) is greater than g(1)
​E.)  f(2) is greater than g(2)


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Function intervals of increasing or decreasing

12/10/2017

 
Use the information provided to answer Part A and Part B.

The function f(x) = 4x - x² is graphed in the x-y coordinate plane as shown.
Picture
Part A
Based on the graph of the function, which statements are true?  Select all that apply.
A.)  f is increasing on the interval x < 0
B.)  f is decreasing on the interval x < 0
C.)  f is increasing on the interval 0 < x < 2
D.)  f is decreasing on the interval 0 < x < 2
E.)  f is increasing on the interval 2 < x < 4
F.)  f is decreasing on the interval 2 < x < 4
G.)  f is increasing on the interval x > 4
H.)  f is decreasing on the interval x > 4
​
Part B
Based on the graph of the function, which statements are true?  Select all that apply.
A.)  f(x) < 0 on the interval x < 0
B.)  f(x) > 0 on the interval x < 0
C.)  f(x) < 0 on the interval 0 < x < 2
D.)  f(x) > 0 on the interval 0 < x < 2
E.)  f(x) < 0  on the interval 2 < x < 4
F.)  f(x) > 0 on the interval 2 < x < 4
G.)  f(x) < 0 on the interval x > 4
H.)  f(x ) > 0 on the interval x > 4

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Write the function rule

12/6/2017

 
The cost to manufacture x pairs of sunglasses can be represented by a function, C(x).  If it costs $398 to
manufacture 4 pairs of sunglasses, which of the following is true?  
Select the correct equation.
A.)  C(4) = 99.50
B.)  C(398) = 4
C.)  C(4) = 398
D.)  C(99.50) = 1

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Quadratic equation:  factored and in vertex form

12/5/2017

 
Consider the function f(x) = 2x² + 6x - 8
Part A.
What is the vertex form of f(x)?
A.)  f(x) = 2(x - 3)² - 4
B.)  f(x) = 2(x + 3)² + 4
C.)  f(x) = 2(x - 1.5)² - 12.5
D.)  f(x) = 2(x + 1.5)² - 12.5
Part B.
What is the factored form of f(x)?
A.)  f(x) = (2x + 1)(x - 8)
B.)  f(x) = (2x - 1)(x + 8)
C.)  f(x) = 2(x + 4)(x - 1)
D.)  f(x) = 2(x - 4)(x + 1)

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Find the points that lie on the graph of the equation

12/4/2017

 
Which points lie on the graph of the equation -3x + 6y + 5  = -7 ?
A.)  (-3,6)
B.)  (-2,0)
C.)  (0,-2)
D.)  (6,-3)
E.)  (8,2)

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A function and its domain

12/2/2017

 
Which graph represents a function whose domain is the set of non-negative real numbers?
​
Picture
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Simplify the expression

12/2/2017

 
An equation is shown. 
(2x - 3) + [4x(3x + 2)]
Which expression is equivalent to the given expression?
A,.)  9x - 1
B.)  14x + 5
C.)  12x² + 2x - 1
D.)  12x² + 10x - 3

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Create an equation

12/1/2017

 
Stephanie adds pennies, nickels, and quarters to a scale until the mass of the combined coins is 75 grams.  Each penny has a mass of 2.5 grams, each nickel has a mass of 5 grams, and each quarter has a mass of 5.7 grams.

Create an equation to model this situation, where x is the number of pennies, y is the number of nickels, and z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly 75 grams.

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