Answers OPTIONS Algebra II AUnit Test

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The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

–18

–4

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An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

9.25 cm

9.7 cm

12.75 cm

18.5 cm

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

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).

A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. What is the length of the longest piece?

5 feet

15 feet

27 feet

32 feet

What is the domain of the relation graphed below?

domain:

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

What is the solution to the equation ?

h = –4

h = –2

h = 2

h = 4

For which pair of functions is ?

f(x) = 3 – 4x and g(x) = 16x – 3

f(x) = 6x2 and

and g(x) = 144x

f(x) = 4x and g(x) = 3x

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

Which graph represents the same relation as the set ?

A coordinate plane has 3 points. The points are (negative 3, 2), (3, negative 2), (5, 5).

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

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

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

If and , what is the degree of ?

A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus $4 per day to attend an exercise class and no swim fee. If Robert swims and takes an exercise class every time he goes to the gym, which equation shows the number of days, d, he must use the gym to make the membership worthwhile?

StartFraction 5 d + 9 d Over 300 EndFraction = 4 d

StartFraction 5 d + 9 d Over 4 d EndFraction = 300

5d + 9d = 300 – 4d

5d + 9d = 300 + 4d

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 ?