Answers 2627 ALGEBRA II ARate of Change

Rate of Change — Unit test Answers

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

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Which equation represents a linear function?

y(x – 1) = 9

y – 5 = x(–x + 2)

y(y – 1) = x + 25

y – 5 = x – 20

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

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

all real values of x

all real values of x except x = 5

all real values of x except x = –5

all real values of x except x = 5 and x = –5

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

The formula for the volume of a pyramid is Which of the following equations is equivalent to the given formula?

uppercase B = StartFraction 3 uppercase V Over h EndFraction

uppercase B = StartFraction 3 h Over uppercase V EndFraction

uppercase B = StartFraction uppercase V minus one-third Over h EndFraction

uppercase B = StartFraction uppercase V + one-third Over h EndFraction

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

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?

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 formula to determine energy is . What is the formula solved for v?

v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot

v = 2 uppercase E minus m

v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot

v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot

Harlon wrote the equation to find the area of a rectangle that has a length of and a width of 18. He solved for x and got Which of the following is an equivalent equation for x?

x = plus-or-minus StartRoot StartFraction uppercase A minus 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction uppercase A + 18 Over 18 EndFraction EndRoot

x = plus-or-minus StartRoot uppercase A minus 36 EndRoot

x = plus-or-minus StartRoot uppercase A + 36 EndRoot

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 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

If m 0, the graph of y = mx + b does not pass through which quadrant?

Quadrant I

Quadrant II