Subtract 4x2 – 2y2 – 8from 3x2 + 2y2 + 7.
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10 points
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Find the product: x 2(4x 4 + 2x -2 + x)
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“I’m thinking of a number. If youmultiply my number by 5 and thensubtract 48, you will get mynumber.” Express this situation asan equation and find the answer.
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A N S W E R:
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Let n = the number.5n – 48 = nn = 12
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x + y = 1x + 3y = 9Solve this system of equations.
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10 points
Find the slope of the linepassing through the points(–5, –2) and (5,3).
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20 points
What is the slope of a lineparallelto 2x + y = 6?
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Find the slope of a linethat is perpendicular to3y + 2x = 9.
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30 points
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40 points
Write the equation of the axis ofsymmetry of the graph y = 3x2 + 12x – 2.
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Which of these equations coulddepict exponential decay?
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50 points
a) y=3x b) y=1.8x c) y=0.2x
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What is the meanfor the data set 24, 26, 28, 30,and 40?
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20 points
For what value of xwill 8 and x have the samemean as 27 and 5?
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Brittany has grades of 84, 65, and 76 onthree math tests. What grade must sheobtain on the next test to have an average of exactly 80 for the four tests?
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On a standardized test, a score of 82 fallsexactly 1 standard deviation below the mean.If the standard deviation for the test is 4,what is the mean score for the test?
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40 points
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A calculator finds a linear regression for thedata graphed below to be y = 0.96x – 1.4.Which choice is most likely the correlationcoefficient?a) 0.98 b) 1.34 c) – 0.98 d) – 1.34
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Given the relation A = {(5,2), (7,4), (9,10), (x, 5)}, for which value(s) of x willrelation A be a function?
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A N S W E R:
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For any values except x = 5, 7, or 9.
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Is this graph the graphof a function?Explain.
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No. It does not pass the vertical linetest. Each x coordinate must be pairedwith only one y coordinate in afunction.
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Is the relation depicted in thechart below a function?
x
-2
-1
0
1
2
3
y
7
7
7
7
7
7
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A N S W E R:
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Yes. Each xcoordinate has only one ycoordinate.
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A function is shown atthe left. What is thedomain of this function?
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A N S W E R:
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All x-values greater thanor equal to -3.
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The blue graph is
The red graph is .
What is the value of k ?
