Answers KISD SS-3391B-Algebra II Honors B Exam OnlyCumulative Exam

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Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?

Company A pays better when total sales are less than $37,500, but company B pays better when total sales exceed $37,500.

Company A pays better when total sales are less than $250,000, but company B pays better when total sales exceed $250,000.

Company B pays better when total sales are less than $37,500, but company A pays better when total sales exceed $37,500.

Company B pays better when total sales are less than $250,000, but company A pays better when total sales exceed $250,000.

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Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?

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Myra uses an inverse variation function to model the data for the ordered pairs below.(2, 30), (3, 20), (4, 15), (5, 12), (6, 10)Which statement best explains whether an inverse variation function is the best model for the data?

An inverse function is the best model because as x increases, y decreases.

An inverse function is the best model because the products of corresponding x- and y-values are equal.

An inverse variation function is not the best model because data points approximate a straight line.

An inverse variation function is not the best model because the data points show an exponential decay.

What is the solution of ?

x = –2500

x = –50

x = –2.5

no solution

The graph below shows the function .Which statement is true?

There is a hole at x = 3 and an asymptote at x = –1.

There is an asymptote at x = –1 and no hole.

There is a hole at x = 3 and no asymptote.

There is an asymptote at x = 3 and a hole at x = –1.

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.Number of Hours vs. Amount Left in TankNumber of Hours Spent Driving (h)3579Amount of Gas Left in Tank, in gallons (g)12840Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?

g = 18 – 2h; 18 gallons

g = 18 – 2h; 16 gallons

g = 3h + 3; 30 gallons

g = 3h + 3; 12 gallons

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of –0.8. Dan is working with 10 data pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of –0.2. For which two data sets is a linear regression model reasonable?

Aaliyah’s and Julio’s data sets

Julio’s and Miriam’s data sets

Dan’s and Miriam’s data sets

Miriam’s and Aaliyah’s data sets

Which system is equivalent to ?

StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 10 EndLayout

StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 30 EndLayout

StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 250 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout

StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 350 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout

Which graph shows the solution to the equation below?

On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4.

On a coordinate plane, 2 identical curves are shown. One curve starts at y = negative 3, and the other curve starts at y = 1.

On a coordinate plane, a curve and a line are shown.

On a coordinate plane, a curve and a cubic function are shown.

Determine if the given function has any points of discontinuity. Explain your reasoning.

There is a point of discontinuity at x = b because the denominator has the factor x – b.

There are points of discontinuity at both x = – b and x = b because the numerator has factors of x + b and x – b.

There is a point of discontinuity at x = -b only because the factor of x – b is common to both the numerator and denominator.

There is a point of discontinuity at x = b only because the factor of x – b is common to both the numerator and denominator and factors out.

What is the value of ?

–4.00

–0.25

1.51

2.41

The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a linear model that predicts the race time (y) of a man of any age (x). Which equation represents this linear model?

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The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the form g(x) = (x – h)3 + k.

h = 4 k = –2

h = –4 k = –2

h = 4 k = 2

h = –4 k = 2

Which expressions are equivalent to ? Select three correct answers.(4)x(2)x

128 Superscript StartFraction x Over 3 EndFraction

128 Superscript StartFraction 3 Over x EndFraction

(4)x

(4 (2 Superscript one-third Baseline) ) Superscript x

(2)x

Which statement is true about the solution of ?

x = –2 is an extraneous solution, and x = 6 is a true solution.

x = 6 is an extraneous solution, and x = –2 is a true solution.

Both x = –2 and x = 6 are extraneous solutions.

Both x = –2 and x = 6 are true solutions.

Which equation shows a valid step in solving ?

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The amount of simple interest accrued on a sum of money varies jointly with the amount of money, the interest rate, and the time the money is invested. A sum of money is invested at a simple interest rate of 4% for 3 years and accrues $168 in interest. The same sum of money is invested in a second account at a simple interest rate of 6% for 4 years. Which statement is true?

The amount of interest accrued on the second account is less than double the amount of interest accrued on the first account.

The amount of interest accrued on the second account is double the amount of interest accrued on the first account.

The amount of interest accrued on the second account is more than double but less than triple the interest accrued on the first account.

The amount of interest accrued on the second account is more than triple the interest accrued on the first account.

Which equation is represented by the graph below?

y = one-eighth e Superscript x

y = one-half e Superscript x

y = 2 e Superscript x

y = 8 e Superscript x

What are the domain and range of f(x) = 2(3x)?

domain: ; range:

What is written as a single logarithm?

log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket

log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)

log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket

log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)

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