Font size
Worksheets3rd Nine Weeks Practice
Total questions: 42
Worksheet time: 42mins
Sean compares two investment plans. He has $1,800 to invest and has the following options:
Plan A: The investment will earn 5% interest compounded annually.
Plan B: The investment will be supplemented with $150 annually.
Sean made a table to compare the projected values of the investments over time under the two plans.
Which of the following pieces of investment advice is true?
Plan A is the best option if Sean plans to withdraw the money in 10 years.
Plan A is the best option if Sean plans to withdraw the money in 25 years.
Plan B is the best option regardless of how long Sean intends to hold the investment.
Plan B is the best option if Sean intends to hold the investment for life and pass it on to his children.
Half-life is the length of time it takes for half of a sample of radioactive material to decay. It appears as exponential decay. Which graph can be used to show the radioactive decay of Uranium 238?
The graph of the function p(x) = 5x-4 has an asymptote. What is the equation of the asymptote?
y = 4
y = -4
y = 0
There is no asymptote.
Which graph represents a linear function?
The value of the painting has decreased by $187 each year
The value of the painting has increased by $663 each year
The value of the painting has increased by 78% each year
The value of the painting has decreased by 22% each year
The profits can be modeled by an exponential function since they are increasing by a fixed amount each month.
The profits cannot be modeled by an exponential function since they are not increasing by a fixed amount each month.
The profits can be modeled by an exponential function since they are increasing by a fixed percentage each month.
The profits cannot be modeled by an exponential function since they are not increasing by a fixed percentage each month.
If Jay makes no sales, he is paid $450.10
For each sale Jay makes, he is paid $450.10
For each sale Jay makes, he is paid $12.20
If Jay makes no sales, he is paid $12.20
Mia has to type a 500-word essay for English class. Mia works hurriedly and types at a constant rate until she has typed 500 words. The number of words she typed after x minutes can be represented by the function
below.
w(x) = 20x
If the number of words Mia types were represented by the function f(x) = 20x + 250 instead, how would the amount of time it takes Mia to finish her essay change?
Mia would finish in half the time because she would be typing at a faster rate.
Mia would finish in half the time because half of the essay would already be typed when she starts.
Mia would finish in the same amount of time because her rate of typing would not change.
Mia would take 50% longer to finish because she would have to type an extra 250 words.
Janna and Travon are creating posters for the school play. Together they will have f (t) posters after creating posters for t hours.
f (t) = 5t + 3
The function f represents the fact that every hour —
Janna and Travon can make 5 posters together, and 3 posters were already made.
Janna can make 5 posters, and Travon can make 3 posters.
Travon can make 4 posters, and Janna can make 1 poster.
Janna and Travon can make 5 posters apiece, and 3 posters were already made.
The manager of Greenway Grocery ordinarily orders 50 boxes of Oati-O's cereal from the supplier every week and sells each box for $3.50. The manager uses the following function to find the net profit, in dollars, the store makes each week from selling x boxes of Oati-O's cereal.
p(x) = 3.50x − 112.50
Last week, the manager changed the profit function to the following to reflect a change in store policy.
p(x) = 3.50x − 90
Which of the following could be the change in store policy?
The store now pays the supplier 25 cents less per box.
The store now pays the supplier 25 cents more per box.
The manager now orders 40 boxes each week instead of 50.
The manager now orders 60 boxes each week instead of 50.
What happens to the graph of the quadratic function y = x2 + c as the value of c increases?
The y-intercept increases.
The x-intercepts decrease.
The x-intercepts increase.
The y-intercept decreases.
Which function has the smaller minimum value, and why?
The function g has the smaller minimum value because the minimum value of f is 4, and the minimum value of g is about 5.
The function g has the smaller minimum value because the minimum value of f is -10, and the minimum value of g is about 3.
The function f has the smaller minimum value because the minimum value of f is -10, and the minimum value of g is about 3.
The function f has the smaller minimum value because the minimum value of f is 4, and the minimum value of g is about 5.
(0, -4.5)
(3, 0)
*Hint: There is more than 1 correct answer!!!*
Each time the number of children being supervised increases by 1, cost increases by $5.
Each time the number of children being supervised increases by 1, cost increases by $10.
Each time the number of children being supervised increases by 2, cost increases by $5.
Each time the number of children being supervised increases by 2, cost increases by $10.
Because the cost increases at a fixed amount per child being
supervised, this data can be modeled by a linear function.
Paige followed the price of a stock over a period of several days. She found that the average price, in dollars, over this time period could be modeled by the function p(d)=59d+1.4 , where d represents the number
of days since she started following the stock. Based on this model, what was the average change in the stock price per day?
$1.80
$3.20
$5.00
$9.00
How must the graph of y = 3x2 + 1 be transformed to obtain the graph of y = 3x2 − 1?
Each point on the graph of y = 3x2 + 1 must be translated 2 units
left.
Each point on the graph of y = 3x2 + 1 must be translated 2 units
up.
Each point on the graph of y = 3x2 + 1 must be translated 2 units
down.
Each point on the graph of y = 3x2 + 1 must be translated 2 units
right.
An artist paints murals featuring geometric lines and shapes. When he paints on a large wall he uses a coordinate system to help him. He
painted his first line at y = x + 3, and his second line at y = x + 5. What transformation is represented by going from the first line to the second line?
A reflection in the line y = 2
A translation of 2 to the left
A translation of 2 upwards
A reflection in the line x = 2
A farmer has determined that the total cost, in dollars, of selling a portion of his strawberries at the local farmer's market can be modeled by the function f(x) = 0.9x + 45 where x represents the number of pounds of strawberries that he brings to the market. Which of the following statements is true?
The farmer's total cost of attending the farmer's market and selling
his strawberries is $45.
The farmer's total cost of attending the farmer's market and selling
his strawberries is $90.
For each additional pound of strawberries the farmer brings to the
market, his costs increase by 45 cents.
For each additional pound of strawberries the farmer brings to the
market, his costs increase by 90 cents.
When the function y = 3x2 is transformed into the function y = −3x2, each point on the graph of y = 3x2 is —
reflected across the y-axis to create the graph of y = −3x2.
translated 6 units down to create the graph of y = −3x2.
translated 6 units up to create the graph of y = −3x2.
reflected across the x-axis to create the graph of y = −3x2.
Yes, the amount remaining is being divided by 2.
Yes, the amount remaining is being multiplied by 21
No, the amount remaining is being subtracted by 25.
There is not enough information.
Overnight rain has left 8 gallons of water in Juan's boat. Juan secures a small container and begins scooping the water out at a constant rate of 0.5 gallons per minute. Let G(t) denote the amount of water (in gallons) that remains in the boat t minutes after Juan begins scooping. The equation below relates G(t) and t.
G(t) = 8 − 0.5t
What is the domain of this relationship?
[0, ∞]
[0, 16]
[0, 8]
[0, 4]
(0, 25)
(0, 70)
(0, 50)
(0, 35)
There were 22,000 people who purchased the game on the release
date.
There were 55,000 people who purchased the game on the release
date.
Each day, there is a 60% increase in the number of people who
purchase the game.
Each day, there is a 40% decrease in the number of people who
purchase the game.
A jeweler that makes wooden pendants would like to participate in an upcoming art show. She has determined that the cost she would pay upfront to reserve and stock her booth would be c(x) = 8.75x + 50, where x represents the number of pendants that she brings to the show. Which of the following statements is true?
The jeweler's total cost of attending the art show and selling her pendants is $50.
The jeweler's total cost of attending the art show and selling her pendants is $875.
For each additional pendant the jeweler brings to the art show, her costs increase by $50.
For each additional pendant the jeweler brings to the art show, her costs increase by $8.75.
y = x2
y = x
y = x1
y = x
What is the slope of the line represented by the equation 2y = 5x + 4?
2/5
2
5/2
5
The parent function is p(x) = 10x.
The function f(x) = 2(10x+12) − 37 is a transformation of the parent function p.
Which series of steps describes the transformation of the graph of p that will result in the graph of function f?
1st: translate 12 units left
2nd: vertical stretch by factor of 2
3rd: translate 37 units down
1st: translate 37 units left
2nd: vertical stretch by factor of 2
3rd: translate 12 units down
1st: translate 37 units right
2nd: vertical stretch by factor of 2
3rd: translate 12 units down
1st: translate 12 units right
2nd: vertical stretch by factor of 2
3rd: translate 37 units up
I only
III only
I and III, only
I, II, and III
Ben is learning to play tennis. On one practice toss, the ball leaves Ben's hand at a speed of 9.8 meters per second. Let v(t) denote the velocity of the ball (in meters per second) t
seconds after it is tossed on the occasion mentioned above. The equation below relates v(t) and t.
v(t) = 9.8 − 9.8t
What is the domain of this relationship?
[0, 2]
[0, ∞)
[0, 9.8]
[0, 1]
Ms. Reeves has split her classroom into three groups and asked each of them to make predictions on the population growth of the classroom frogs.
The table shows the three group models, where each function predicts the number of frogs after x generations. The students chose between exponential, linear, or quadratic models.
For values of x large enough, which of the following is true?
f(x) < g(x) < r(x)
f(x) < r(x) < g(x)
g(x) < f(x) < r(x)
g(x) < r(x) < f(x)
Sean compares two investment plans. He has $1,800 to invest and has the following options:
Plan A: The investment will earn 5% interest compounded annually.
Plan B: The investment will be supplemented with $150 annually.
Sean made a table to compare the projected values of the investments over time under the two plans.
Which of the following statements is best supported by the data in the table?
Linear growth will eventually outpace quadratic growth.
Exponential growth will eventually outpace linear growth.
Linear growth is always greater than exponential growth.
Exponential growth is always greater than linear growth.
The four tables below show the companies' guarantees of the minimum number of people that will visit Adalyn's website. Which of the following tables most closely represents exponential growth?
Examine the sequence of values below.
−38.8, −22.6, −6.4, 9.8, 26, 42.2
Which algebraic expression represents the nth value in this sequence?
16.2n - 22.6
16.2n - 55
-16.2n - 22.6
15.8n - 23
There were 7,400,000 people who bought tickets to the movie the first week it was out.
There were 9,250,000 people who bought tickets to the movie the first week it was out.
Each week, there was an 80% increase in the number of people who bought tickets to the movie.
Each week, there was an 80% decrease in the number of people who bought tickets to the movie.
(19, 159)
(7, 179)
(7, 159)
(19, 179)
What happens to the graph of the quadratic function y = x2 − c as the value of c increases?
The graph retains its shape but is translated downward.
The graph becomes wider.
The graph becomes narrower.
The graph retains its shape but is translated upward.
The function g(x) = 8⋅2x−15−30 is a transformation of the parent function p(x) = 2x . Which of the following correctly describes the transformation of function p that generates function g?
p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.
p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left.
Think about it - is it asking about slope or y-intercept?
The bakery charges a fixed base rate of $18.25 per order.
The bakery charges a fixed base rate of $19.80 per order.
For each pastry that Cole ordered, the fee increased by a fixed
percentage of 1.55%.
For each pastry that Cole ordered, the fee increased by a fixed
amount of $1.55.
Which of the following best describes the domain and range of the relation in the graph?
Domain: 3 < x < 9
Range: 2 < y < 8
Domain: 2 < x < 8
Range: 3 < y < 9
Domain: 3 < x < 9
Range: 2 < y < 8
Domain: 2 < x < 8
Range: 3 < y < 9
y = −4(x − 1)(x + 3)
y = x2 − 4x − 3
y = 0.5(x − 3)(x + 1)
y = −2(x2 − 3)
Yes, the number of junk emails increases by 6.
Yes, the number of junk emails increases by a factor of 2.
No, the number of junk emails increases by a factor of 2.
There is not enough information.
