Font size
WorksheetsS2 Interim Review
Total questions: 125
Worksheet time: 7hrs 4mins
Put these functions in order from least to greatest based on their Y-INTERCEPT. (a)
Which statement below is TRUE regarding the two functions?
Both functions are linear
Both functions are increasing
Both functions have a y-intercept of 1
Both functions are exponential growth
Is the equation linear, exponential, or quadratic?
y=2x+4 (a)
Is the graph linear, exponential or neither? (a)
Is the graph linear, exponential or neither? (a)
Is the table linear, exponential or neither? (a)
Is this table linear, quadratic, exponential, or none of the above? (a)
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation for the total cost of x pounds of fruit from the orchard. (a)
What type of function is f(x)=2(x+4)2−7 ?
What type of function best models the situation: A bank account balance earning an annual interest rate.
Linear
Quadratic
Exponential
Which function best models the amount of money you earn when you get paid an hourly wage? (a)
Which function best models the height and speed of throwing a ball in the air?
Linear
Quadratic
Exponential
What type of function best models the situation: A zombie virus has infected the population and the number of infected people triples every day. (a)
Which statement below is TRUE regarding the functions pictured?
Both functions have a y-intercept of 3
Both functions are increasing
Both functions are linear
Both functions have a MULTIPLYING pattern
How would you describe the rate of change of these functions?
Both functions have constant rate of change because they are exponential.
Both functions have a variable rate of change because they are both exponential.
A has a constant rate of change because it is linear and B has a variable rate of change because it's exponential
A has a constant rate of change because it is quadratic and B has a variable rate of change because it's exponential
Which function is exponential?
A
B
C
What type of function describes the story below?You have $5 and triple your money every day. (a)
Which function would best represent each ink cartridge purchased for a printer costs $12.
Linear
Quadratic
Exponential
R: {-2, -2, 1, 1}
Function
R: {-2, 1}
Function
R: {-2, -2, 1, 1}
Not a Function
R: {-2, 1}
Not a Function
Which model is appropriate given the points (-3, 8), (-1, 6), (0, 5), (2, 3), (3, 2)? Why?
Exponential because it curves.
Linear because it has a constant slope.
Quadratic because it has a minimum.
Infinite because it keeps going.
Choose all the equations that are exponential:
y = 6x -5
y = 8x - 9
f(x) = 3x2 + 4
y = 1/3x
y = 7x3
Write the function that best models the table? (a)
y=(41)x
y=41x
y=4x
y=4x
Three functions are shown in the table. Which of the functions is exponential?
f(x)
g(x)
h(x)
None of the functions are exponential as they do not grow by equal factors over equal intervals.
Three functions are shown in the table. What is the average rate of change for the function h(x) over the interval 2≤x≤4 ?
12
6
-6
-12
Lauren keeps records of the distances she travels in an Uber and what she pays.
Lauren said a linear function can represent the data that she collected (in the table). If Lauren uses the function y = mx+b what is the value of m? Explain what this value stands for in context of the problem.
1.50; the amount the total cost increases for each mile driven
2.25; the amount the total cost increases for each mile driven
1.50; the cost with no miles driven
2.25; the cost with no miles driven
Which function will translate f(x)=x2 left 5 units and down 1 unit?
f(x)=(x−1)2−5
f(x)=(x−5)2−1
f(x)=(x−5)2+1
f(x)=(x+5)2−1
Two websites launched on the same day. At the end of the first week, the number of visitors to each website was 25. After that, the number of visitors to each website increased at different rates.
Website A: The number of visitor doubled each week
Website B: The number of visitors increased by 150 each week.
A table has been started for you. Finish it if needed to answer the question below.
Jose claims that the number of visitors to both websites can be modeled as a linear function. Is he correct?
Jose is correct, both functions are linear because the number of visitors in both cases have constant differences.
Jose is incorrect, only Website A has a number of visitors with equal differences.
Jose is incorrect, only Website B has a number of visitors with equal differences.
Jose is correct because the number of visitors in both cases have constant factors.
David invests $10,000 in a savings account that pays 3.5% simple interest. If David
makes no withdrawals or deposits to the account, how much will be in the
account after 7 years.
$2,450
$11,750
$12,450
Not here
Garrison deposited $500 in an account that earns 5% annual interest compounded annually. If he makes no withdrawals or deposits, how much interest will the account earn after 4 years?
$600
$100
$607.75
$107.75
Audrey deposited $2,800 in a
savings account that pays 2.65% interest compounded annually. What is the total
value of the account after 7 years?
$562.57
$3362.57
$14,514.15
$2,569,680
The compound interest formula is:
A = P(1 + r)t
What does the A represent?
The amount of interest earned.
The amount of time that has passed.
The total amount of money after a certain amount of time.
The amount required to invest.
Ivan deposits $5,000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 3 years?
What is the principle? (a)
What is the rate? (b)
What is the time? (c)
When interest compounds semi-annually that means it compounds ___ times a year?
A bank is offering an interest rate of 6.75%.
Choose the decimal that you would use to calculate the balance in the account at a later time.
Shawn is buying a new Jet Ski for $12,500. He is considering two credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with 10% interest compounded annually. Which is the better option and how much will he save?
B; $573.83
B; $495.21
A; $573.83
A; $495.21
When dealing with money and finance, the term (a) is defined as a charge for borrowed money generally a percentage of the amount borrowed.
(a) is the amount of money loaned or invested.
(a) is the total amount that is paid back when a loan is fully paid off.
(a) is a portion of the selling price that is paid toward buying an item, like an automobile or a house.
I=P×r×t
Simple Interest Formula
Compound Interest Formula
Label each value in the Compound Interest Formula
Amount
Principal
Number of Times per Year
Time in Years
Function B: y=43x +6
Which statement about the properties of Function A and Function B are true?
The y-intercept of Function A is equal to the y-intercept of Function B.
The y-intercept of Function A is greater than the y-intercept of Function B.
The y-intercept of Function A is less than the y-intercept of Function B.
Given the formula for a geometric sequence, a1 stands for an=a1rn−1
common difference
wanted term
common ratio
first term
an=a1rn−1
Given the formula for a geometric sequence , r stands for
common difference
wanted term
common ratio
first term
an=a1rn−1
Consider the first six terms of this sequence : 3,6,12,24,48,96….. What would be the 19th term of the sequence
393216
786432
1572864
1162261467
Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5th birthday?
$10
$300
$162
$416
The first term in a geometric sequence is 160 and the common ratio is 1/2. What is the 7th term given the equation an = a1 (r)n-1
5
2.5
10
1.25
You have $729 in the bank on Day 1, $243 on Day 2, and $81 on Day 3. Write the explicit formula that expresses the sequence.
an = 729(1/3)n-1
an = 729(3)n-1
an = 1/3(an-1)
an = 1/3(729)n-1
What is the constant ratio of the table?
3
31
6
1
What is the y-intercept of the graph?
21,500
0.88
10,000
6
What is the domain of y=4(1.2)x ?
0<x<∞
All Real Numbers
−∞<x<4
−4<x<∞
What is the range of the function shown?
All real numbers greater than 3
All real numbers
All real numbers greater than 0
All real numbers greater than or equal to 0
What is the asymptote of the function shown?
y=0
y=1
x=0
y=−1
You buy a house for $130,000 and it appreciates 6% per year. How much is it worth in 10 years?
$14,300,000
$232,810
$267.13
$219,632
Tom is losing 20% of his hair each year. If he has 1546 hairs, how much will he have in 8 years?
259
1315
6648
166
A zombie outbreak is doubling daily. If there are 25 zombies, how many will there be in 7 days?
28
175
54,675
3,200
What is the exponential equation for the table?
y=6(21)x
y=6(2)x
y=21(6)x
y=2(6)x
What is the equation of the graph that goes through (2, -18) and (3, -54)?
y=2(−3)x
y=−2(3)x
y=3(−2)x
y=−3(2)x
What is the exponential equation for the graph?
y=40(23)x
y=40(21)x
y=40(32)x
y=40(43)x
What does the y-intercept represent in the word problem?
The number of bounces the basketball takes
The height of the basketball after the first bounce
The original height of the basketball
The rate at which the basketball bounces
Given the table, what will be the population of mice after 8 months?
192
3,072
256
1,536
Based on the graph, which statement does not appear to be true?
The company opened 400 stores by the end of 1992
Every year the number of stores opened increased by 25%
The company opened 100 stores in 1 year
Since 1992, the company has opened 250 stores each year
Which best describes the graph given?
Exponential Decay, asymptote at y = -1
Exponential Growth, asymptote at y = 0
Exponential Growth, asymptote at y = -1
Exponential Decay, asymptote at y = 0
Describe the transformation if f(x) = 5x is the parent function and g(x) = 3(5)x is the transformed function.
horizontal translation right 3 units
vertical translation up 3 units
vertical stretch
vertical compression
Describe the transformation if f(x)=5x is the parent function and g(x)=5x+8 is the transformed function.
horizontal translation right 5 units
vertical translation down 8 units
vertical translation up 8 units
vertical compression
Describe the transformation if f(x) = 3(4)x is the parent function and g(x) = 0.15(4)x is the transformed function.
vertical stretch
vertical translation down 0.15 units
vertical translation up 4 units
vertical compression
Describe the transformation if f(x) = 3(4)x is the parent function and g(x) = -3(4)x is the transformed function.
vertical stretch
reflection
growth
vertical compression
Select all the transformations of g(x) if the parent function is f(x) = 3x.
horizontal translation left 2 units
vertical compression
vertical translation up 2 units
vertical stretch
vertical translation up .11 units
Select all the transformations of g(x) if the parent function is f(x) = 3x.
vertical translation down 6 units
vertical stretch
vertical translation up 6 units
reflection
horizontal translation left 6 units
Select all the transformations of g(x) if the parent function is f(x) = 3x.
vertical translation down 3 units
vertical stretch
vertical translation up 4 units
reflection
vertical compression
Select all the transformations of g(x) if the parent function is f(x) = 3x.
horizontal translation right 1 unit
vertical stretch
vertical translation down 2 units
reflection
vertical compression
If the blue graph is the parent function and the red the transformed function, what type of transformation occurred?
vertical translation
reflection
vertical stretch
vertical compression
If the blue graph is the parent function and the red the transformed function, what type of transformation occurred?
vertical translation
reflection
horizontal translation
vertical stretch
If the blue graph is the parent function and the red graph is the transformed function, what types of transformations occurred? Select all that apply.
vertical translation
reflection
horizontal translation
vertical stretch
If the blue graph is the parent function and the red the transformed function, what type of transformation occurred?
vertical translation
reflection
vertical compression
vertical stretch
Does the equation represent growth or decay?
y=4(21)x
Growth since the y-int is greater than 1.
Growth since the ratio is greater than 1.
Decay since the y-int is less than 1.
Decay since the ratio is less than 1.
What is the y-intercept of y=43(4)x ?
4
0
43
3
What is the constant ratio for
y=23(54)x ?
23
815
12
54
What is the rate of decay for y=5(43)x ?
5%
75%
25%
0.75%
What is the constant ratio of the table?
3
31
6
1
What is the y-intercept of the graph?
21,500
0.88
10,000
6
What is the domain of y=4(1.2)x ?
x>0
All Real Numbers
x<4
x>−4
What is the range of the function shown?
All real numbers greater than 3
All real numbers
All real numbers greater than 0
All real numbers greater than or equal to 0
What is the asymptote of the function shown?
y=0
y=1
x=0
x=1
You buy a house for $130,000 and it appreciates 6% per year. How much is it worth in 10 years?
$14,300,000
$232,810
$267.13
$219,632
Tom is losing 20% of his hair each year. If he has 1546 hairs, how much will he have in 8 years?
259
1315
6648
166
A zombie outbreak is doubling daily. If there are 25 zombies, how many will there be in 7 days?
28
175
54,675
3,200
What is the exponential equation for the table?
y=6(21)x
y=6(2)x
y=21(6)x
y=2(6)x
What is the exponential equation for the graph?
y=40(3/2)^x
y=40(1/2)^x
y=40(2/3)^x
y=40(3/4)^x
Given the table, what will be the population of mice after 8 months?
192
3,072
256
1,536
In an exponential function, what does the 'a' represent?
SLOPE
RATE OF CHANGE
Y-INTERCEPT
COMMON RATIO
f(x) = (a)(bx)
f(x) = (a)(bx)
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)^6
Growth
Decay
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)^3
Growth
Decay
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?
This is the horizontal line which the values of the function cannot fall below :
Asymptote
Growth Factor
Axis of symmetry
Curve
What is the constant ratio for
y=25(43)x ?
25
815
15
43
Classify the model as Exponential GROWTH or DECAY.
A=1500(.90)^4
Growth
Decay
Solve the exponential function: 5x + 7 = 32
x = 25
x = 6
x = 9
x = 2
2x - 5 = 12
x = 8.5
x = 4.1
x = 6.2
x = 3.9
What does the value 12 represent?
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
9765
9006
5433
9766
The value of a new car depreciates (decreases) after it is purchased. Suppose that the value of the car depreciates according to an exponential decay model. Suppose that the value of the car is $12000 at the end of 5 years and that its value has been decreasing at the rate of 9% per year. Find the value of the car when it was new. Round your answer to the nearest dollar.
The population of wolves, w(t) in an area is represented by the equation w(t)=800(0.95)t where t is the number of years since the year 2000. Predict the number of wolves in the year 2012. Round to the nearest whole.
Since January 1980, the population of the city of Brownville has grown according to the mathematical model, y=720,500(1.022)x where x is the number of years since January 1980. If this trend continues, use this model to predict approximately when the population of Brownville will reach 1,000,000. (Round to the whole year.)
There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that represents the deer population. If deer population continues to grow at this rate, how many years will it take for the deer population to surpass 1000.
Ngozi earns $24,000 in salary in the first year she works as an interpreter. Each year, she earns a 3.5% raise.
Write a function that gives Ngozi's salary S(t), in dollars, t years after she starts to work as an interpreter.
Do not enter commas in your answer.
S(t) =
