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Eureka Algebra Module 3 Cumulative Quizizz

Total questions: 78

Worksheet time: 6hrs 48mins

Name
Class
Date
1.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
a1=6
b)
an=an-1-4
a1=6
c)
an=an-1+9
a1=6
d)
an=an-1+6
a1=6
2.

Given the recursive formula, find the first four terms:

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

f(1) = -16

a)

-16, -21, -26, -31

b)

5, -11, -27, -43

c)

-16, -80, -500, -200

d)

-16, -11, -6, -1

3.

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

a)

Explicit Formula

b)

Recursive Formula

c)

Arithmetic Formula

d)

Geometric Formula

4.

Write a recursive formula for the following sequence:

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

a)

a1= 10

an= an-1 - 5

b)

a1= 10

an= an-1 + 5

c)

a1= 10

an= an (5)

d)

a1= 10

an= an-1 (5)

5.

 f(n)=  24 (12)(n−1)f\left(n\right)=\ \ 24\ \left(\frac{1}{2}\right)^{\left(n-1\right)}  Given the explicit formula, find the 3rd term

a)

6

b)

12

c)

3

d)

1.5

6.

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

a)

an= 3(2)n-1

b)

an= 3+(2)n

c)

an= 3(2)n

d)

an= 3+(2)n-1

7.

Create the explicit formula for the sequence:

2, 8, 14, ...

a)

f(n)=2+6n

b)

f(n)=-6+6n

c)

f(n)=6n-4

d)

f(n)=4-6n

8.

What is the 15th term of the sequence  an=−3n+50a_n=-3n+50  

a)

95

b)

-5

c)

5

d)

-95

9.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
10.
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?
a)
$827.52
b)
$831.10
c)
$839.45
d)
$846.80
11.
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.
a)
$33,299.42
b)
$33,672.68
c)
$34,157.04
d)
$34,389.55
12.
Jack deposited $1,400 in his bank account.  After 3 years, the account earned $294 in interest.  Find the simple interest rate.
a)
5%
b)
8%
c)
7.25%
d)
7%
13.
The equation for this exponential function is
a)
y = 1(2x)
b)
y = 1(4x)
c)
y = 3x
d)
y = 1(3x)
14.
What is the growth factor of the exponential function represented by y = 20(5x)
a)
20
b)
1
c)
5
d)
5x
15.
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?
a)
1,069 people
b)
894 people
c)
816 people
d)
854 people
16.
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?
a)
$11625
b)
$6994.77
c)
$21,477
d)
$875
17.

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

a)

y=5000(1 - 0.30)x

b)

y=30(5000)x

c)

y=5000(1 + 0.30)x

d)

y=5000xx

18.
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? 
a)
19 to 20 hours
b)
10 to 20 hours
c)
15 to 16 hours
d)
5 to 6 hours
19.
What is the range of this function?
a)
x ≥ 2
b)
f(x) ≥ 2
c)
All Real Numbers
d)
f(x) ≤ 2
20.
What is the domain of this function?
a)
All Real Numbers
b)
f(x) ≥ -2
c)
f(x) ≥ 2
d)
x ≥ -2
21.

What is the domain of this relation?

a)

1 ≤ f(x) ≤ 7

b)

1 ≤ x ≤ 7

c)

-3 ≤ f(x) ≤ 3

d)

-3 ≤ x ≤ 3

22.

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

a)

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

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

b)

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

R:{1, -3, -4}

c)

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

R:{1, -3, -4}

d)

D: {all real numbers}

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

23.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

24.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

25.
Which relation is NOT a function?
a)
{(1,-5), (3,1), (-5,4), (4,-2)}
b)
{(2,7), (3,7), (4,7), (5,8)}
c)
{(1,-5), (-1,6), (1,5), (6,-3)}
d)
{(3,-2), (5,-6), (7,7), (8,8)}
26.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
27.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

28.

Describe what is happening in this picture.

a)

One-to-one: Function

b)

Many-to-one: Not a Function

c)

One-to-many: Function

d)

One-to-many: Not a Function

29.

Is this a function:

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

a)

Yes. There is exactly one output for every input.

b)

No. The output 5 repeats.

c)

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

d)

Yes: Only integers are used.

30.
a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

31.

Which are intervals of increasing for the graph?

a)

(-∞, -3)

b)

(-3, 0)

c)

(0, 2)

d)

(2, ∞)

32.

Which are the intervals for the graph?

a)

Dec: (-∞, 3)∪(4.5, -6)

Inc: (3, 4.5) ∪ (-6, ∞)

b)

Inc: (-∞, -2)∪(-1, 1)

Dec: (-2, -1) ∪ (1, ∞)

c)

Inc: (-∞, -2) Dec: (-2, ∞)

d)

Dec: (-∞, -2)∪(-1, 1)

Inc: (-2, -1) ∪ (1, ∞)

33.

Which is an interval of decreasing for the graph?

a)

(-∞, -2)

b)

(-1, 1)

c)

(-2, 2)

d)

(-∞, -1)

34.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
35.
a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

36.
a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

37.

On which interval(s) is the function positive?

a)

(-∞, -1)

b)

(1, 3)

c)

(0, 2)

d)

(-∞, ∞)

38.

On which interval(s) is the function negative?

a)

 (−∞,∞)\left(-\infty,\infty\right)  

b)

 (2.5, 7)\left(2.5,\ 7\right) 

c)

 (−∞,1) \left(-\infty,1\right)\  

d)

 (2,4)\left(2,4\right)   

e)

 (8,∞)\left(8,\infty\right)   

39.

Which coordinate would qualify as the *absolute maximum* of this function?

a)

∞

b)

(0, 4)

c)

3

d)

(4, 0)

40.

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

a)

(-2, -1)

b)

(0, -1)

c)

(-1, -2)

d)

(-5, 3)

41.

How many extrema are in the picture?

a)

2

b)

3

c)

4

d)

5

42.
How many relative maximums does this function have?
a)
1
b)
2
c)
3
d)
4
43.

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?

a)

The bacteria grow at the same rate in both solutions.

b)

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

c)

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

d)

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

44.

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?

a)

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

b)

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

c)

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

d)

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

45.

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?

a)

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

b)

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

c)

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

d)

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

46.

Which of the following is accurate?

a)

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

b)

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

c)

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

d)

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

47.

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

a)

1

b)

2

c)

3

d)

4

48.

During which interval is the bicyclist moving the fastest?

a)

0≤t≤20\le t\le2

b)

2≤t≤42\le t\le4

c)

4≤t≤74\le t\le7

d)

1≤t≤31\le t\le3

49.
Which graph matches:
4-x for x<2
2x-6 for x>=2
a)
A
b)
B
c)
C
d)
D
50.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x  if x < 4;   -x+1  if x ≥ 4
b)
f(x) = { x  if x ≤ 4;  -x+1  if x > 4
c)
f(x) = { -x+1  if x < 4;  x  if x ≥ 4
d)
f(x) = { -x+1  if x ≤ 4;  x if x > 4
51.
Use the graph to evaluate f(5)
a)
0
b)
2
c)
4
d)
6
52.
How much does it cost to make 300 photocopies?
a)
$24.00
b)
$20.00
c)
$40.00
d)
$300.00
53.
Evaluate the function when x = 6 
a)
f(6) = -5
b)
f(6) = 4
c)
f(6) = 2
d)
f(6) = 7
54.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
55.
|v + 8| − 5 = 2 
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
56.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
57.
 |−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
58.
3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
59.

| x + 3 | ≤ 2

a)

No Solution

b)

x ≤ -1

c)

-5 ≤ x and x ≤ -1

d)

1 ≤ x and x ≤ 5

60.

| 2w - 1 | < 11

a)

No Solution

b)

w < 5

c)

-5 < w and w < 6

d)

-6 < w and w < 5

61.
a)
no solution
b)
a> -1/6 or a< -5/6
c)
a>1/2 or a< -3/2
d)
all real numbers
62.
Solve for n.
a)
n ≥ 10 and n ≤ -6
b)
n > 10 and n < -6
c)
n ≥ 10 or n ≤ -6
d)
n > 10 or n < -6
63.
Determine the number of solutions to the given linear-quadratic system.
a)
0 solutions
b)
1 solution
c)
2 solutions
d)
3 solutions
64.

Use Desmos to help you find the solution set of  0.5x3−4=3x+10.5x^3-4=3x+1  

a)

{2.847}

b)

{3.047}

c)

{5.338, -1.048, -4.29}

d)

{-2.847}

65.

Use Desmos to help you find the solution set of  2x−4=x+52x-4=\sqrt{x}+5  

a)

{3.454}

b)

no solution

c)

{5.693}

d)

{4.325}

66.

Use Desmos to help you find the solution set of  21(23)x=3(x−7)2−421\left(\frac{2}{3}\right)^x=3\left(x-7\right)^2-4  

a)

{2.803}

b)

{17.672}

c)

{5.835, 8.155}

d)

{5.562, 8.257}

67.
What is the equation of the graph below?
a)
f(x) = I x + 2 I 
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I 
68.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
69.
If the blue function is f(x)=x2, then the red function must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
70.

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

a)

f(x)= |x| - 8

b)

f(x)= 8|x|

c)

f(x)= |x + 8|

d)

f(x) = |x| + 8

71.
Describe the transformation:
f(3x)
a)
Horizontal Stretch
b)
Horizontal Compress
c)
Vertical Stretch
d)
Vertical Compress
72.
In the equation f(x)=5(x+3)2-10 what does the 5 do?
a)
Vertical stretch by 5
b)
Horizontal compress by 5
c)
Reflect
d)
Move up 5
73.
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?
a)
-f(x)
b)
f(-x)
c)
f-1(x)
d)
f(2x)
74.
Describe the transformation of y = f(x) to the new function
 y = f(1/5x)
a)
Horizontal shrink by a factor of 1/5
b)
Vertical stretch be a factor of 5
c)
Vertically shrink by a factor of 1/5
d)
 Horizontal stretch by a factor of 5
75.

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

a)

Horizontal translation left

b)

Horizontal translation right

c)

Vertical translation up

d)

Vertical translation down

e)

Vertical stretch

76.

How did we transform from the parent function?

g(x) = -1/5(x - 1)2 + 7

a)

horizontal right, reflection, vertical compression, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x2

77.

Identify the transformation from the graph of f(x)=x2 to the graph g(x)= -(x+5)2

a)

shifted up five units

reflection in x-axis

b)

shifted down five units

reflection in x-axis

c)

shifted left 5 units

reflection x-axis

d)

shifted right 5 units

reflection x-axis

78.

Which equation has a horizontal shrink, vertical stretch, shift left and shift down?

a)

f(x) = 12∣32x+3∣−4f\left(x\right)\ =\ \frac{1}{2}\left|\frac{3}{2}x+3\right|^{ }-4

b)

f(x) = 32(12x−3)4+4f\left(x\right)\ =\ \frac{3}{2}\left(\frac{1}{2}x-3\right)^4+4

c)

f(x) = 32(32x+3)2−4f\left(x\right)\ =\ \frac{3}{2}\left(\frac{3}{2}x+3\right)^2-4

d)

f(x) = 12(12x+3)3−4f\left(x\right)\ =\ \frac{1}{2}\left(\frac{1}{2}x+3\right)^3-4

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