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​Algebra 1   State Test Practice

Solving literal equations

1/27/2015

 
The formula for finding the perimeter, P, of a rectangle with length, l, and width, w, is given:
                                                              
                                                              P = 2l + 2w

Which formula shows how the length of a rectangle can be determined from the perimeter and the width?
                p                                                  P
A.)  l = ------- - 2w                 C.)  l = ----- + w
               2                                                  2

               P - 2w                                       P - 2
B.)  l = ---------                       D.)  l = ---------
                2                                                  2w
               

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Interpret the average rate of change of a function

1/27/2015

 
A tennis ball was 2 feet off the ground when a tennis player hit it so that the ball traveled up in the air before coming back to the ground.  The height of the tennis ball is described by the graph shown.  Numbers along the x-axis represent the time, in seconds, after the ball was hit, and the numbers along the y-axis represent the height, in feet, of the ball at time x.
Picture
Use the graph to represent the average rate of change of the height of the ball for the first 0.25 second after being hit.
A.)  0.75 feet per second
B.)  3.0 feet per second
C.)  12 feet per second
D.)  20 feet per second

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Identifying slope to determine the line

1/27/2015

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The ordered pairs (20, -29.5), (21, -31), and (22, -32.5) are points on the graph of a linear equation.
Which of the following graphs show all of the ordered pairs in the solution set of this linear equation?
Picture

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Produce an equivalent form of an expression

1/26/2015

 
Which factorization can be used to reveal the zeros of the function  
f(n) = -12n² - 11n + 15?

A.)  f(n) = -n(12n + 11) + 15
B.)  f(n) = (-4n + 3)(3n + 5)
C.)  f(n) = -(4n + 3)(3n + 5)
D.)  f(n) = (4n + 3)(-3n + 5)

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Graph a linear inequality in two variables

1/26/2015

 
Which graph best describes the solution to this set of inequalities?
x + y ≤ 6
x + 2y ≤ 8
Picture

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Justify a solution of an equation

1/26/2015

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

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Perform arithmetic operations on polynomials

1/26/2015

 
Picture

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Understanding function notation

1/26/2015

 
The graph of the function f(x) = -1 + 0.5x is shown on the coordinate plane.  
For what value of x does f(x) = 0?
Picture

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Graph a function and identify intercepts

1/26/2015

 
Which graph represents the equation 5y - 3x = -15?
Picture

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Solve quadratic equations by completing the square

1/25/2015

 
Find the equation that is equivalent to the quadratic equation shown.
x² - 6x - 27 = 0

A.)  x(x - 3) = 27
B.)  (x - 6)² = 63
C.)  (x - 3)² = 36
D.)  (x - 3)² = 28

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