Algebra 2R practice Test Flashcards

Flashcards from Algebra 2R practice Test

If x + 5 is a linear factor of a polynomial, what are two other potential linear factors?

A. 2x-1, C. 3x-4

What does it mean when it is said that "y varies inversely as x"?

Varies inversely as means y = k/x for some constant k

If y varies inversely as x, and x = 6 when y = -10, which equation represents the relationship between x and y?

y = -60/x

Describe the relationship between current and resistance.

The amount of current, c, flowing through a wire varies inversely as the amount of resistance, r, and c=5 when r=50.

If a resistance of 50 ohms allows a current of 5 amps, which equation represents this situation?

c = 250/r

What is the exponential form of the equation log 10 = 2x − 1 / 5 ?

10 = 2x - 1

Which function best represents the stopping sight distance data in relation to speed?

f(x) = 3.67x + 0.096x^2

Which expression represents the complete factorization of x^3 + 4x^2 − 4x − 16?

(x + 4)(x - 2)^2

Which expression is equivalent to (4(x − 4)(x + 6)) / ((10x−60) (12x+72) / (x^2 −2x−24)) ?

5(x+6) / 12(x-6)^2, x ≠ 6

Based on the data, what is the best prediction for the amount of Mr. Perkins' electric bill if the average monthly temperature is 55 degrees?

$210

Which expression is equivalent to (x^2 +5x+6) / (x^3−x) ÷ (x^2 −x−6) / (x^2+x) , x ≠ 1, 3?

(x+3) / (x(x−1)(x−3)) , x ≠ 0, 1, 3

If 4x − 3 is a linear factor of 12x^3 + 31x^2 − 62x + 24, what are the remaining linear factors of the polynomial?

(3x + 4)(x − 2)

Which expression is equivalent to (x^3 + 2 + x + 6) ÷ (x + 2) ?

x^2 + 4x + 9 + 24/(x+2)

If f(x) = 2x is changed to g(x) = 3f(x + 4), how is the graph transformed?

The graph of f(x) is vertically stretched by a factor of 3 and translated 4 units left to create the graph of g(x).

If f(x) = 2x is changed to f(x) = 2^(x−4) − 3, which statement best describes how the graph is transformed?

The graph is translated 4 units right and 3 units down.

The function f(x) = is transformed to create the function g(x). In terms of f(x), which equation represents g(x)?

g(x) = f(x + 1)

If the shoulder height of an elephant is 260 centimeters, what is the approximate age of the elephant, to the nearest year?

51 years

Which expression is equivalent to (x^2 −4) / (2x^2 −5x+2) ÷ (4x^2 −1) / (2x^2 −3x−2) ?

(x+2) / (x-2), x ≠ 2

What value of x makes the equation 17 / (8−x) + 2 / 3 = 30 / 51 true?

25 / 13

Which expression is equivalent to − (2x) / (4x^2 −12x+9) ÷ (3) / (2x^2 −7x+6) ?

−2 / ((2x−3) (x−2)) , x ≠ 3/2, 2

Which expression is equivalent to −3 / (x^2 +x−6) + 2 / (x^2 −3x+2) ?

5x+9 / ((x−1)(x−2)(x+3)) , x ≠ −3, 1, 2

What value of x makes the equation (x − 27)^(2/3) = 64 true?

-13

If f(x) = 6 log7(x − 2) , what is f^(-1)(x)?

f^(-1)(x) = 7^((x+2) / 6)

What value of x makes the equation 5 = (4x + 7)^(2/3) true?

x = 65

If the function f(x) = √x is changed to g(x) = √x − 4, how is the graph of the function transformed?

The graph of f(x) is translated 4 units down to create the graph of g(x).

Which expression is not a factor of (9x − 18) / (− 16x + 32) ?

3x + 4

Which expression represents the area of the border?

3x^2 + 13x − 9x − 2

Approximately how many days will it take for the bacteria population to reach half of its original size?

B. 39

Which function best represents the population data in the table?

f(x) = 18803.5(1.13)^x

What regression line best models the data?

y = −3.74x + 92.62