AnswersAZ-Common Core Algebra II BRecursive Formulas

Recursive Formulas — Cumulative exam Answers

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Simplify the expression below.What is the numerator of the simplified expression?

Question illustration
A
2
B
n
C
3n – 2
D
3n + 2
42
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Which of the following illustrates the product rule for logarithmic equations?

A
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 divided by log Subscript 2 Baseline x
Option A
B
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 times log Subscript 2 Baseline x
Option B
C
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 minus log Subscript 2 Baseline x
Option C
D
log Subscript 2 Baseline (4 x) = log Subscript 2 Baseline 4 + log Subscript 2 Baseline x
Option D
43

What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
44

The table below shows the number of days, y, needed to complete a project as a function of the number of full-time staff, x, working on the project. Which rational function best models the data in the table?People Working, xDays, y36218489612

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
45

The fifth term of a geometric sequence is 781.25. Each term of the sequence is of the value of the following term. Which recursive formula represents the situation?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
46

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 (a + 1) squared Over a cubed EndFraction
Option A
B
6a
C
2a
D
StartFraction 6 a squared Over a + 1 EndFraction
Option D
47

What is the quotient?

Question illustration
A
(t + 3) squared
Option A
B
(t + 4) squared
Option B
C
StartFraction 1 Over (t + 4) squared EndFraction
Option C
D
StartFraction 1 Over (t + 3) squared EndFraction
Option D
48

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
49

What is the horizontal asymptote of ?

Question illustration
A
y = –2
B
y = –1
C
y = 0
D
y = 1
50

For what value of a does ?

Question illustration
A
–1
B
0
C
1
D
no solution
51

A lake near Susan’s house is predicted to lose water every day because of a drought. The table shows the estimated water depth in feet, y, after x days of drought.

Question illustration
A
y = −0.5x + 100
B
y = −x0.5 + 100
C
y = −0.5x2 + 100
D
Option
Option D
52

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?

A
An inverse function is the best model because as x increases, y decreases.
B
An inverse function is the best model because the products of corresponding x- and y-values are equal.
C
An inverse variation function is not the best model because data points approximate a straight line.
D
An inverse variation function is not the best model because the data points show an exponential decay.
53

Which graph shows the correct solution to the linear-quadratic system of inequalities below?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
54

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?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
55

Which would be the most suitable viewing window to solve the system below?

Question illustration
A
mc001-2.jpg
Option A
B
mc001-3.jpg
Option B
C
mc001-4.jpg
Option C
D
mc001-5.jpg
Option D
56

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?

A
Aaliyah’s and Julio’s data sets
B
Julio’s and Miriam’s data sets
C
Dan’s and Miriam’s data sets
D
Miriam’s and Aaliyah’s data sets
57

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?

A
g = 18 – 2h; 18 gallons
B
g = 18 – 2h; 16 gallons
C
g = 3h + 3; 30 gallons
D
g = 3h + 3; 12 gallons
58

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
59

Look at this image.Choose the function that represents the triangular numbers.

Question illustration
A
y = 0.5x + 0.5
B
y = 0.5x + 0.5x
C
y =
D
y = 0.5x2 + 0.5x
60

A teacher used the change of base formula to determine whether the equation below is correct.Which statement explains whether the equation is correct?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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