Answers AZ-Common Core Algebra II AUnit Test

Unit Test — Unit test Answers

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The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

(0, 6)

(1, 4)

(2, 2)

(3, 0)

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Given , what is the average rate of change in f(x) over the interval [1, 5]?

–6

Negative one-half

One-fourth

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.

The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.

The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.

Which equation represents a nonlinear function?

x(y – 5) = 2

y – 2(x + 9) = 0

3y + 6(2 – x) = 5

2(y + x) = 0

What is the sum of the given values to the correct level of precision? 7.45 ft10.629 ft+0.3 ft

18.379 ft

18.38 ft

18.4 ft

20 ft

Three times a number is three more than twice the number. Which equation can be used to find the value of x, the unknown number?

3x = 3 + 2x

x = 3 + 2x

3x + 3 = 2x

3x = 3 + 2 + x

The table shows the population of Center City in various years. Use the data from 1990 and 2005 to create a linear model that predicts the population of the city (y) in a given year (x). In which year was the actual population of Center City most different from the value predicted by this model?YearCity Population1985194,9571990197,8001992199,5322000203,7502005206,5612012210,600

1985

1992

2000

2012

Which graph represents y – 1 = 2(x – 2)?

Option

Sherie bought a beach towel that normally costs $44 but was on sale for half price. She also bought a beach hat that was on sale for $12 off. Before tax, her total cost was $38. What was the regular price of the beach hat?

$22

$28

$48

$56

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

x3 – x2

–x3 + x2

–x3 + x2 – 1

x3 – x2 + 1

Which characteristic of a data set makes a linear regression model unreasonable?

a slope close to 0

a correlation coefficient close to 0

a slope close to –1

a correlation coefficient close to –1

The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?

21 ft

27 ft

30 ft

57 ft

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

Since the function is even, the outputs of a negative y-value and a positive y-value are the same.

The graph has rotational symmetry, so the point will be reflected across the y-axis.

The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

If f(x) = 7 + 4x and , what is the value of ?

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

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