Answers AZ-Common Core Algebra II AUnit Test

Unit Test — Unit test Answers

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The width of a photograph is 4 inches. Tori measures its width using the two rulers, both of which measure in inches. Which statement is true about the accuracy and precision of the rulers?

The measurement found using Ruler 1 is more accurate and more precise.

The measurement found using Ruler 2 is more accurate and more precise.

The measurement found using Ruler 1 is more accurate but less precise.

The measurement found using Ruler 1 is more precise but less accurate.

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Tinh can row at a rate of 6 mph in still water. It takes her 2 hours to row upstream from a dock to a park. She then rows back to the dock, and it only takes 40 minutes. What is the speed of the river current?

3 mph

12 mph

18 mph

48 mph

A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?

y = 7x

y = x Superscript 7

y = StartFraction 7 Over x EndFraction

y = 7

Wayne measured the width of a marker tip as 0.012 cm. What is the margin of error?

0.007 to 0.017

0.011 to 0.013

0.0115 to 0.0125

0.0125 to 0.0135

Kyla measured the weight of a bunch of bananas as 1,100 grams using the scale.

1,000 g to 1,200 g

1,050 g to 1,150 g

1,150 g to 1,200 g

1,000 g to 2,000 g

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

u(x) 0 and v(x) 2

x 0 and x cannot be any value for which u(x) 2

x 2 and x cannot be any value for which v(x) 0

u(x) 2 and v(x) 0

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

The rocket is traveling six times as fast when t = 3 than it is when t = 1.

The rocket is at a greater height when t = 3 than it is when t = 1.

The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.

The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.

If f(x) is a linear function, what is the value of n?xf(x)377n9161626.5

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

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Which function is the inverse of ?

f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths

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The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).

On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).

On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).

On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).

Which description could be written as a linear function?

eight more than twice a number

three more than the product of two numbers

ten more than the square of a number

nine more than one divided by a number

Four friends measure the length of a 6-millimeter-long grain of rice. They record their measurements as shown.Andrey:7 mm, 5 mm, 6 mm, 8 mmMariya:7.41 mm, 8.54 mm, 5.12 mm, 6.23 mmYuto:6.1 mm, 5.9 mm, 6.3 mm, 7.2 mmMisaki:5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm

Andrey’s

Mariya’s

Yuto’s

Misaki’s

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

5(4 + 4) – 6

5(5(4) – 6) – 6

54 – 6 + 54 – 6

5(4) – 6 + 5(4) – 6

Which graph represents an even function?

A coordinate plane has 5 points. The points are (negative 6, negative 4), (negative 4, 2), (2, 4), (4, negative 2), (6, 2).

A coordinate plane has 7 points. The points are (negative 3, negative 6), (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4), (3, 6).

A coordinate plane has 7 points. The points are (negative 5, 2), (negative 4, 1), (negative 3, 3), (negative 2, 5), (2, negative 2), (3, negative 5), (4, negative 6).

A coordinate plane has 7 points. The points are (negative 4, negative 3), (negative 3, negative 5), (negative 2, 1), (0, 0), (2, 1), (3, negative 5), (4, negative 3).

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

14x – 8

14x + 4

4x – 8

4x + 4

A boat has a speed of 15 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current in miles per hour?

3(15 – c) = 2(15 + c)

2(15 – c) = 3(15 + c)

15 – c = 15 + c

15 – 3c = 15 + 2c

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?