Quiz about Eureka Algebra Module 3 Cumulative Quizizz

Question 1

Write the recursive formula for 6, 17, 28, 39, 50....

Accepted Answer

a_n=a_n-1+11
a₁=6

Answer

a_n=a_n-1-4
a₁=6

Answer

a_n=a_n-1+9
a₁=6

Answer

a_n=a_n-1+6
a₁=6

Question 2

Given the recursive formula, find the first four terms:

f(n) = f(n-1) + 5

f(1) = -16

Accepted Answer

-16, -11, -6, -1

Answer

-16, -21, -26, -31

Answer

5, -11, -27, -43

Answer

-16, -80, -500, -200

Question 3

A formula that requires the computation of all previous terms to find the value of a_n.

Accepted Answer

Recursive Formula

Answer

Explicit Formula

Answer

Arithmetic Formula

Answer

Geometric Formula

Question 4

Write a recursive formula for the following sequence:

10, 5, 0, -5,...

Accepted Answer

a₁= 10

a_n= a_n-1 - 5

Answer

a₁= 10

a_n= a_n-1 + 5

Answer

a₁= 10

a_n= a_n (5)

Answer

a₁= 10

a_n= a_n-1 (5)

Question 5

Create the explicit formula for the sequence:

2, 8, 14, ...

Accepted Answer

f(n)=6n-4

Answer

f(n)=2+6n

Answer

f(n)=-6+6n

Answer

f(n)=4-6n

Question 6

Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?

Accepted Answer

$1392

Answer

$150

Answer

$192

Answer

$1350

Question 7

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

Accepted Answer

$831.10

Answer

$827.52

Answer

$839.45

Answer

$846.80

Question 8

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years.

Accepted Answer

$33,299.42

Answer

$33,672.68

Answer

$34,157.04

Answer

$34,389.55

Question 9

Jack deposited $1,400 in his bank account.  After 3 years, the account earned $294 in interest.  Find the simple interest rate.

Accepted Answer

7%

Answer

5%

Answer

8%

Answer

7.25%

Question 10

The equation for this exponential function is

Accepted Answer

y = 1(3x)

Answer

y = 1(2x)

Answer

y = 1(4x)

Answer

y = 3x

Question 11

What is the growth factor of the exponential function represented by y = 20(5^x)

Accepted Answer

5

Answer

20

Answer

1

Answer

5x

Question 12

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?

Accepted Answer

816 people

Answer

1,069 people

Answer

894 people

Answer

854 people

Question 13

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

Accepted Answer

$6994.77

Answer

$11625

Answer

$21,477

Answer

$875

Question 14

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(1 - 0.30)^x

Answer

y=30(5000)^x

Answer

y=5000(1 + 0.30)^x

Answer

y=5000xx

Question 15

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?

Accepted Answer

19 to 20 hours

Answer

10 to 20 hours

Answer

15 to 16 hours

Answer

5 to 6 hours

Question 16

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, find the correct domain and range.

Accepted Answer

D:{0, 1, 2, -4}

R:{1, -3, -4}

Answer

D: {1, -3, -4,}

R: {0, 1, 2, -4}

Answer

D:{0, 1, 2, 3, 4}

R:{1, -3, -4}

Answer

D: {all real numbers}

R: {(0,1), (1,-3), (2,-4), (-4,1)}

Question 17

What is the range of the mapping?

Accepted Answer

{1, 2, 4}

Answer

{0, 1, 2, 3}

Answer

{0, 3}

Answer

{1, 4}

Question 18

Which relation is NOT a function?

Accepted Answer

{(1,-5), (-1,6), (1,5), (6,-3)}

Answer

{(1,-5), (3,1), (-5,4), (4,-2)}

Answer

{(2,7), (3,7), (4,7), (5,8)}

Answer

{(3,-2), (5,-6), (7,7), (8,8)}

Question 19

A relation where every input yields one and only one output is called what?

Accepted Answer

Function

Answer

Relation

Answer

Linear

Answer

Exponential

Question 20

Which graph is not a function?

Accepted Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Answer

Graph 4

Question 21

Describe what is happening in this picture.

Accepted Answer

One-to-many: Not a Function

Answer

One-to-one: Function

Answer

Many-to-one: Not a Function

Answer

One-to-many: Function

Question 22

Is this a function:

{ (3, 5) (-3, 5) (-1, 2) (6, 6) (2, 9) }

Accepted Answer

Yes. There is exactly one output for every input.

Answer

No. The output 5 repeats.

Answer

No: 6 repeats as an x-value and a y-value

Answer

Yes: Only integers are used.

Question 23

Question 23.

Accepted Answer

Decreasing Interval

Answer

Increasing Interval

Answer

Constant Interval

Answer

Positive Interval

Answer

Negative Interval

Question 24

Question 24.

Accepted Answer

Positive Interval

Answer

Decreasing Interval

Answer

Increasing Interval

Answer

Constant Interval

Answer

Negative Interval

Question 25

Question 25.

Accepted Answer

Negative Interval

Answer

Decreasing Interval

Answer

Increasing Interval

Answer

Constant Interval

Answer

Positive Interval

Question 26

Which coordinate point describes the location of the absolute minimum point of this function?

Accepted Answer

(-1, -2)

Answer

(-2, -1)

Answer

(0, -1)

Answer

(-5, 3)

Question 27

How many extrema are in the picture?

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 28

How many relative maximums does this function have?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 29

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G(t) = (1.40)^t. The bacteria in the second solution grow in accordance with the data displayed in the table.

Which statement best describes the growth rates exhibited within the two different solutions?

Accepted Answer

The bacteria grow at a faster rate in the first solution.

Answer

The bacteria grow at the same rate in both solutions.

Answer

The bacteria grow at a slower rate in the first solution.

Answer

The bacteria decay in the first solution and grow in the second solution.

Question 30

Leonard compared the cost of purchasing a gallon of gas at two different gas stations.

The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months.

Which statement is true?

Accepted Answer

The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

Answer

The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

Answer

The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

Answer

The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

Question 31

The function f(x) = 14,000(1.3)^x models the population of of town 1 x years after January 2006. The table below shows the population of town 2 in different years.

Assuming both towns continue to grow at the same rate, which statement is true?

Accepted Answer

Town 2 had a greater population than town 1 in 2006 and is growing at a faster rate than town 1.

Answer

Town 1 had a greater population than town 2 in 2006 and is growing at a faster rate than town 2.

Answer

Town 1 had a greater population than town 2 in 2006, but is growing at a slower rate than town 2.

Answer

Town 2 had a greater population than town 1 in 2006, but is growing at a slower rate than town 1.

Question 32

Which of the following is accurate?

Accepted Answer

Eventually, exponential growth will always exceed linear growth as x approaches infinity.

Answer

Linear growth is always slower than exponential growth regardless of how much time has passed.

Answer

Exponential growth is always slower than exponential growth regardless of how much time has passed.

Answer

Eventually, exponential growth will usually exceed linear growth as x approaches infinity.

Question 33

The graph represents a piecewise function. How many pieces make up the function?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 34

Which graph matches:
4-x for x<2
2x-6 for x>=2

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 35

Use the graph to evaluate f(5)

Accepted Answer

4

Answer

0

Answer

2

Answer

6

Question 36

How much does it cost to make 300 photocopies?

Accepted Answer

Answer

Answer

$40.00

Answer

$300.00

Question 37

Evaluate the function when x = 6

Accepted Answer

f(6) = 7

Answer

f(6) = -5

Answer

f(6) = 4

Answer

f(6) = 2

Question 38

What is g(7) if:

Accepted Answer

17

Answer

-17

Answer

-13

Answer

13

Question 39

| 2w - 1 | < 11

Accepted Answer

-5 < w and w < 6

Answer

No Solution

Answer

w < 5

Answer

-6 < w and w < 5

Question 40

Question 40.

Accepted Answer

a>1/2 or a< -3/2

Answer

no solution

Answer

a> -1/6 or a< -5/6

Answer

all real numbers

Question 41

Determine the number of solutions to the given linear-quadratic system.

Accepted Answer

2 solutions

Answer

0 solutions

Answer

1 solution

Answer

3 solutions

Question 42

What is the equation of the graph below?

Accepted Answer

f(x) = I x - 2 I

Answer

f(x) = I x + 2 I

Answer

f(x) = I x + 2 I +2

Answer

f(x) = I x - 2 I +2

Question 43

Which equation below is a quadratic function translated left 4 units?

Accepted Answer

y = (x + 4)²

Answer

y = x² + 4

Answer

y = (x - 4)²

Answer

y = 4x2

Question 44

If the blue function is f(x)=x², then the red function must be

Accepted Answer

g(x)=x2-5

Answer

g(x)=x2+5

Answer

g(x)=(x-5)²

Answer

g(x)=(x+5)²

Question 45

With an absolute value parent function write an equation that vertically shifts up 8

Accepted Answer

f(x) = |x| + 8

Answer

f(x)= |x| - 8

Answer

f(x)= 8|x|

Answer

f(x)= |x + 8|

Question 46

Describe the transformation:
f(3x)

Accepted Answer

Horizontal Compress

Answer

Horizontal Stretch

Answer

Vertical Stretch

Answer

Vertical Compress

Question 47

In the equation f(x)=5(x+3)²-10 what does the 5 do?

Accepted Answer

Vertical stretch by 5

Answer

Horizontal compress by 5

Answer

Reflect

Answer

Move up 5

Question 48

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Accepted Answer

-f(x)

Answer

f(-x)

Answer

f-1(x)

Answer

f(2x)

Question 49

Describe the transformation of y = f(x) to the new function
y = f(1/5x)

Accepted Answer

Horizontal stretch by a factor of 5

Answer

Horizontal shrink by a factor of 1/5

Answer

Vertical stretch be a factor of 5

Answer

Vertically shrink by a factor of 1/5

Question 50

f(x) = 2^x-1 + 3 (Select ALL that apply!)

Accepted Answer

Horizontal translation right

Accepted Answer

Vertical translation up

Answer

Horizontal translation left

Answer

Vertical translation down

Answer

Vertical stretch

Question 51

How did we transform from the parent function?

g(x) = -1/5(x - 1)² + 7

Accepted Answer

horizontal right, reflection, vertical compression, vertical up

Answer

vertical compression, horizontal shift left, vertical shift up

Answer

reflection, horizontal shift right, vertical shift down

Answer

no changes were made to y = x²

Question 52

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

Accepted Answer

shifted left 5 units

reflection x-axis

Answer

shifted up five units

reflection in x-axis

Answer

shifted down five units

reflection in x-axis

Answer

shifted right 5 units

reflection x-axis

Eureka Algebra Module 3 Cumulative Quizizz

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