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DCA #2 Review-Tmcelroy

Total questions: 82

Worksheet time: 7hrs 39mins

Name
Class
Date
1.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
2.

A sequence is shown below:

2, 5, 8, 11, ...

Which explicit formula can be used to model the sequence?

a)

an = 3 - 11(n - 1)

b)

an = 2 + 3(n - 1)

c)

an = 11 - 3(n - 1)

d)

an = 3 + 2(n - 1)

3.
Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...
a)
a1=-49; an = an-1 + 10
b)
a1=-7; an = an-1 + 14
c)
a1=-49; an = an-1 + 14
d)
a1= -49; an = an-1 -14
4.
Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...
a)
a1=82; an = an-1-6
b)
a1=64; an = an-1-6
c)
a1=82; an = an-1+6
d)
a1=64; an = an-1+6
5.
Find a20 in the arithmetic sequence: 5, 12, 19, 26...
a)
145
b)
144
c)
142
d)
138
6.
Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
7.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
8.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
9.

Find the next three terms in the arithmetic sequence:

-33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

10.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
11.

Is the sequence arithmetic?

17, 9, 1, -7, ...

a)

Yes

b)

No

12.
Identify the common difference. 
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
13.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
14.

which equation best represents this graph?

a)

y < 1/2x + 1

b)

y < 1/2x + 2

c)

y >1/2x + 2

d)

y > 2x

15.

Which is true about this graph??

a)

it is shaded above and has a dashed line

b)

it is shaded below and has a solid line

c)

it is shaded above and has a solid line

d)

it is shaded below and has a dashed line

16.
Select the graph for y >  -2x - 3
a)
A
b)
B
c)
C
d)
D
17.
Select the graph for y ≥ -3.
a)
A
b)
B
c)
C
d)
D
18.

Identify the inequality.

a)

y > 2

b)

y ≤ 1

c)

x ≥ 2

d)

y ≥ 1

19.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

20.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
21.

Which inequality is graphed on the given coordinate plane?

a)

y ≤ -x + 1

b)

y < x + 1

c)

y ≥ -x + 1

22.
Which of the following equations match the given graph?
a)
y > 2x - 5
b)
y ≥ 7/4x + 2
c)
x < -5
d)
x > -5
23.
Which of the following equations match the given graph?
a)
y ≥ -3x + 4
b)
y ≤ 3/5x - 5
c)
y > -x - 5
d)
y < -4
24.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
25.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
26.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
27.

Which inequality represents the graph?

a)

x ≤ -2

b)

x + 2y ≤ 6

c)

y ≤ -2x

d)

y < -2

28.

Which inequality represents the graph?

a)

x ≥ -2

b)

y > -2x

c)

y ≥ -2

d)

y < -1/2x + 3

29.

Which inequality represents the graph?

a)

x ≥ -2

b)

y ≥ -2

c)

y > -2x

d)

y < -1/2x + 3

30.

Which inequality represents the graph?

a)

x ≤ -2

b)

y < -2

c)

y ≤ -2x

d)

x + 2y ≤ 6

31.
Which system of linear inequalities is represented by the graph?
a)
y≤2x-1
y>-2x+3
b)
y>2x-1
y≤-2x+3
c)
y<2x-1
y≥-2x+3
d)
y≤2x-1
y>2x+3
32.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
33.

Which is the graph of the system of inequalities?

a)
b)
c)
d)
34.
This system has an infinite number of solutions, TRUE or FALSE?
a)
TRUE
b)
FALSE
35.

When you graph an inequality, you use a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

36.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

37.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
38.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

39.
Is this exponential growth or decay?
a)
Growth
b)
Decay
40.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
41.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
42.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
43.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
44.
Is this exponential growth or decay?
a)
Growth
b)
Decay
45.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
46.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
47.

Given the following table of values, construct the function that represents the sequence.

a)

y = 3(4)x

b)

y = 3x + 4

c)

y = 4(3)x

d)

y = 4x + 3

48.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

a)

y = -64x + 128

b)

y = 0.5x + 128

c)

y = 128(0.5)x

d)

y = 128(2)x

49.
Which equation describes the story below?
You have $5 and triple your money every day. 
a)
y=5(3)x
b)
y=5x
c)
y=5(3x)
d)
y=15x
50.

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

a)

f(h) = 3(6)h

b)

f(h) = 6xh

c)

f(h) = 6(3)h

d)

f(h) = 3(6h)

51.

Write the equation of the exponential function for the given table.

a)

y = -2(1/2)x

b)

y = 2(1/2)x

c)

y = 2(2)x

d)

y = 1/2(2)x

52.

Write the equation of the exponential function for the given table.

a)

y = 1(4)x

b)

y = 1(1/4)x

c)

y = 4(4)x

d)

y = 1/4(1)x

53.

Write the equation of the exponential function for the given table.

a)

y = 2(1/3)x

b)

y = -2(1/3)x

c)

y = 1/3(2)x

d)

y = 2(-1/3)x

54.
True or False: 
a)
True 
b)
False
55.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
56.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
57.

Simplify: (2a3b4c3)2⋅(4a2bc3)\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)  

a)

16a8b9c916a^8b^9c^9  

b)

8a8b9c98a^8b^9c^9  

c)

8a6b5c68a^6b^5c^6  

d)

16a5b5c616a^5b^5c^6  

58.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
59.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
60.
3³ ⋅ 3
a)
34
b)
33
c)
30
d)
1 ⁄ 34
61.
Simplify:  x10⋅x4
a)
x40
b)
x14
c)
x6
d)
2x14
62.

How many solutions does the following system have?

a)

infinitely many solutions

b)

no solution

c)

one solution

63.

How many solutions does the following system have?

a)

infinitely many solutions

b)

no solution

c)

one solution

64.

How many solutions does the following system have? (The two lines COINCIDING. That means they are the same line on top of one another.)

a)

infinitely many solutions

b)

no solution

c)

one solution

65.

How many solutions does the following system have?

a)

infinitely many solutions

b)

no solution

c)

one solution

66.

How many solutions does the following system have?

a)

infinitely many solutions

b)

no solution

c)

one solution

67.

What is the solution to the system of equations?

a)

No Solution

b)

(2, 0)

c)

Infinitely Many Solutions

d)

(0, 2)

68.

How many solutions are there in the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

69.

What is the number of solutions to the system of equations?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Two Solutions

70.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
71.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
72.
The solution to this system is...
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
(-4, -2)
73.
This system has _____ solutions.
a)
0
b)
1
c)
2
d)
Infinitely many
74.
Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.
a)
y = 50 - 90x
b)
y = 90x + 50
c)
y = -50x + 90
d)
y = -90 - 50x
75.
Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
a)
y = 48x + 5
b)
y = -5 + 48x
c)
y = -5x - 48
d)
y = 48 - 5x
76.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

a)

y = 3 + 2x

b)

y = 3x + 2

c)

y = 3x + 2x

d)

y = 5x

77.

A plumber charges $50 to make a house call plus $40 for each hour worked. Write an equation to represent this situation.

a)

y = 50x + 40

b)

y = 50x + 40x

c)

y = 50 + 40x

d)

y = 90x

78.

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 15x + 40

b)

y = 40x + 15

c)

y = 15x

d)

y = 15x - 40

79.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

a)

35x + 7 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

7x + 35 = 63

80.

A particular type of cell triples in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 6 of these cells?

a)

f(h) = 3(6)h

b)

f(h) = 6xh

c)

f(h) = 6(3)h

d)

f(h) = 3(6h)

81.

The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.

Which function models the amount of cola in gallons after h hours?

a)

f(h) = 75(-5)h

b)

f(h) = -5(75)h

c)

f(h) = .95(75)h

d)

f(h) = 75(.95)h

82.

Write an exponential function to model the situation. Then solve.

The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. Which equations represents this situation?

a)

C(t) = 1.06(12000)t

b)

C(t) = 12000(.06)t

c)

C(t) = 12000(.06)t

d)

C(t) = 12000(1.06)t

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