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Algebra 1 Final

Total questions: 125

Worksheet time: 31hrs 15mins

Name
Class
Date
1.

Solve for the given variable:

5k + 9 = 19

a)

k = 3

b)

k = -5

c)

k = 2

d)

k = 6

2.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
3.
 |−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
4.

Solve. Select BOTH solutions.
57+x+2=175\left|7+x\right|+2=17  

a)

10-10  

b)

33  

c)

44  

d)

4-4  

5.

solve for R

pV = nRT

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

6.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

7.
Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21? 
a)
yes
b)
no 
8.

When graphing do you use an open or closed circle for < ?

a)

Open

b)

Closed

9.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
10.
a)
x≥3
b)
x≤3
c)
x>3
d)
x<3
11.
Solve:
|3x+9|<6
a)
x<-1
b)
-1<x<5
c)
x<5
d)
-5<x<-1
12.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
13.
Order from least to greatest:
[-100, -89, -90, -87, -99]
a)
-87, -89, -90, -99, -100
b)
-100, -99, -89, -90, -87
c)
-100, -99, -90, -89, -87
d)
-90, -87, -89, -99, -100
14.
Write the inequality:
There are fewer than 20 days left in October. 
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
15.
a)
Function
b)
Not a Function
16.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
17.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
18.
Write an equation of a line in slope-intercept form with the given slope and y-intercept. Slope: 3, y-intercept: 5
a)
y=3x+5
b)
y=-2x-9
c)
y=2/3x+3
d)
y=-5/8x-2
19.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
20.

Valaray has $127.00 in her wallet and earns $15.50 per hour. Which equation shows this situation?

a)

m = 127h + 15.50

b)

m = 15.50h + 127

c)

m = 15.50 + 127

d)

m = h + 127

21.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
22.
What is the meaning of the y-intercept of the graph?
a)
The number of payments for the debt is 2000.
b)
At the start the debt is 2000 before making any payments.
c)
The number of payments for the debt is between 12 to 14.
d)
Initially, the number of payments is 12 to 14.
23.

Which show a linear function? Select 2.

a)
b)
c)
d)
24.

Select the linear equation.

a)
b)
25.

Why is this function linear?

a)

This is a linear function because it does not have a constant rate of change

b)

This is a linear function because it creates a curved line.

c)

This is a linear function because it have a constant rate of change.

d)

This is a linear function because it's y-intercept is (0,2)

26.
What is the parent function for absolute values?
a)
y = x
b)
y = |x|
c)
y = x2
d)
y = 2x
27.

What is the vertex of the following function?


f(x)=2x3+1f\left(x\right)=2\left|x-3\right|+1  

a)

(2,3)

b)

(-3,1)

c)

(2,-3)

d)

(3,1)

28.
  . 
The blue graphs is the parent function f(x)=|x|, the red must be
a)
g(x)=|x+2|
b)
g(x)=|x|+2
c)
g(x)=|x-2|
d)
g(x)=|x|-2
29.
a)

-2 and 10

b)

-2 and -10

c)

2 and 10

d)

2 and -10

30.
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
31.
Convert x2-9x+20 to factored form and solve.
a)
(x-10)(x+2); x=-2, 10
b)
(x+4)(x+5); x=-5, -4
c)
(x-4)(x-5); x=4, 5
d)
Not factorable
32.

What are the x-intercepts:

(x - 5)(x - 1) = 0

a)

{ 5, 1 }

b)

{ 5, -1 }

c)

{ -5, 1 }

d)

{ -5, -1 }

33.
What is the greatest common factor of 48x2and 32x3?
a)
8x2
b)
16x2
c)
16x
d)
96x3
34.
Factor:
10a4+16a+10a2
a)
2a(5a3+8+5a)
b)
2a4(5a+8a2+5a3)
c)
2a4(10+16a+40a2)
d)
3a3(5+8a+a2)
35.

Factor 6x2+3x6x^2+3x  

(a)  

36.

Factor 56a3-8a

(a)  

37.

Solve for x:

4x + 1 = 7x - 5

a)

-2

b)

3

c)

2

d)

-3

38.

What is the first step to solve... 5x2=205\left|x-2\right|=20  

a)

Get absolute value alone by subtracting 5 from both sides

b)

Get absolute value alone by dividing by 5 on both sides

c)

Split into two equations

d)

Distribute the 5 into the absolute value

39.
a)
y < 5x + 1 
b)
y > 5x + 1 
c)
y ≤ 5x + 1 
d)
y ≥ 5x + 1  
40.
a)
y < -2x + 3 
b)
y > -2x + 3 
c)
y ≤ -2x + 3 
d)
y ≥ -2x + 3 
41.
a)
y < -4 
b)
y > -4
c)
y ≤ -4 
d)
y ≥ -4 
42.
a)
y < 2x - 5
b)
y > 2x - 5
c)
y ≤ 2x - 5
d)
y ≥ 2x - 5
43.
Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.
a)
x + 2y < 240
b)
x + 2y > 240
c)
x + 2y ≤ 240
d)
x + 2y ≥ 240
44.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
45.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
46.
3(x-2)<2(x+9)
a)
x<24
b)
x>-24
c)
x<12
d)
x>18
47.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
48.
Which equation matches the graph? 
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
49.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
50.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
51.

How do we solve for slope given two points

a)

y=mx+b

b)

Y2-Y1/X2-X1

c)

Y-Y=M(X-X)

d)

X2-X1/ Y2-Y1

52.

What is slope Intercept form

a)

m=yx+b

b)

y-y=m(x-x)

c)

y=mx+b

d)

y=bx+m

53.

What is point slope form

a)

x-x1=m(y-y1)

b)

y=mx+b

c)

y-y1=m(x-x1)

d)

y1-y=m(x1-x)

54.

What is the slope of the equation y-5=7(x-3)

a)

7

b)

7/5

c)

-7

d)

4

55.

What is the slope of the equation y=3x-5

a)

-5

b)

-3

c)

5/3

d)

3

56.

Write y-4=1(x-4) in slope intercept form

a)

y=1x-8

b)

y=-1x

c)

y-4=1x-4

d)

y=1x

57.

What is the slope and the y intercept of the following equation: y=9x+2

a)

m: 2 b: 9

b)

m: -2 b:9

c)

m:9 b:2

d)

m: 9 b:-2

58.

Find the point slope form given a line with a slope of 4 going through the point (3,8)

a)

8-y=4(3-x)

b)

y-8=4(x-3)

c)

y+8=4(x+3)

d)

y-3=4(x-8)

59.

Solve the system using substitution:

x + y = 19

y = 3x - 1

a)

(14, 5)

b)

(11, 8)

c)

(5, 14)

d)

(8, 11)

60.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
61.
When does a system of equations have no solutions?
a)
When the lines cross
b)
When slopes of the lines are different
c)
When the slopes are the same
d)
There is ALWAYS a solution sir!
62.

Solve the system using elimination:

3x + y = 19

2x - y = 6

a)

(5, 14)

b)

(4, 5)

c)

(5, 4)

d)

(14, 5)

63.

What shape is the data shown in the dot plot?

a)

symmetrical

b)

skewed left

c)

skewed right

64.
Are these dot plots symmetric?
a)
Yes
b)
No
65.
How would you describe this distribution?
a)
Left skewed
b)
Uniform
c)
Right Skewed
d)
Symmetrical
66.
Describe the shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
67.

When a data distribution is symmetric, the best measure of center is _________.

a)

mean

b)

median

c)

mode

d)

range

68.

When a data distribution is skewed, the best measure of center is _________.

a)

mean

b)

median

c)

mode

d)

range

69.
How many students scored more than 80%?
a)
10
b)
13
c)
7
d)
15
70.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
71.

You are making a dot plot to show the data. Which numbers will you put on the number line for the dot plot?

a)

6.5, 6.6, 6.7, 6.9, 7.0, 7.1

b)

6.7, 6.8, 6.9, 7.0, 7.1, 7.2

c)

6.6, 6.8, 6.9, 7.0, 7.1

d)

6.5, 6.6, 6.7, 6.8, 6.9, 7.0

72.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
73.
According to the two-way table, a person who plays an instrument is most likely to:
a)
Not play an instrument
b)
Not play a team sport
c)
Play a team sport
d)
All of the above
74.
How many chemical engineers chose Science as their favorite subject?
a)
80
b)
91
c)
171
d)
262
75.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%
76.
Identify the join relative frequency of boys that have blond hair.
a)
.4
b)
0.1
c)
0.44
d)
0.2
77.
Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?
a)
4/30
b)
7/30
c)
2/15
d)
14/30
78.
What type of data are jersey numbers?
a)
Quantatative
b)
Categorical
79.
All senior from a college are asked if they have secured a job and whether it relates to their major.
a)
Sample
b)
Population
80.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
81.
In how many games did the team score more than 20 points?
a)
8
b)
7
c)
10
d)
9
82.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
83.
Histograms are a special type of
a)
Box Plot
b)
Line Graph
c)
Bar Graph
84.

How many senior boys play football but do not wrestle?

a)

26

b)

8

c)

104

d)

16

85.

What type of graph is displayed?

a)

Histogram

b)

Line Graph

c)

Dot Plot

d)

Box Plot

e)

Scatter Plot

86.

Graphs should sometimes include labeled axes and titles.

a)

True

b)

False

87.

Changing the scales in a graph can make the data look very different

a)

True

b)

False

88.

When comparing two or more sets of data, the scales must be consistent.

a)

True

b)

False

89.
What does the "Q" in Q-Tips stand for?
a)
Quantity
b)
Quick
c)
Quality
d)
Quiet
90.
In the early stage version of Wizard of Oz, Dorothy's companion was a...
a)
dog
b)
pig 
c)
cow
d)
goat
91.
What is the strongest muscle in the human body?
a)
Deltoid
b)
Bicep
c)
Tongue
d)
Maseter (used for chewing)
92.
An ostrich's eye is bigger than which organ?
a)
Liver
b)
Brain
c)
Stomach
d)
Heart
93.
It would take a sloth one month to travel
a)
One mile
b)
Two miles
c)
Three miles
d)
Four miles
94.

How many slices of bread could a single bolt of lightning toast?

a)

100

b)

0

c)

100,000

d)

10,000

95.

What is a baby puffin called?

a)

Chick

b)

Puffling

c)

Puffball

d)

Puffin baby

96.
The Pumpkin is the state fruit of
a)
Vermont
b)
Tennessee
c)
New Hampshire
d)
Nevada
97.
Which of the following is NOT a Pixar film?
a)
Ratatouille
b)
Wall-E
c)
Despicable Me
d)
Toy Story 2
98.
How many letters are in alphabet?
a)
20
b)
26
c)
8
d)
14
99.
What goes around the world but stays in a corner
a)
life
b)
a jar of peanut butter
c)
stamps
d)
Elmo
100.
The Mississippi River begins in which state?
a)
Minnesota
b)
Michigan
c)
Main
d)
Mississippi
101.

Which logo it this?

a)

Instagram

b)

Snapchat

c)

My space

d)

Amazon

102.

Which logo is this ?

a)

Facebook

b)

Miama Heat

c)

Twitter

d)

birdie

103.

Which logo it this?

a)

Fuzz

b)

Sephora

c)

Yellow ocean

d)

Shell

104.
Which store has this logo?
a)
Walmart
b)
Best Buy
c)
Target
d)
Marshalls
105.
Which restaurant has this logo?
a)
McDonalds
b)
Taco Bell
c)
Arby's
d)
Burger King
106.
Which social media has this logo?
a)
Snapchat
b)
Facebook
c)
Pinterest
d)
Instagram
107.
Which social media has this logo?
a)
Twitter
b)
Snapchat
c)
Facebook
d)
Music.ly
108.
What event has this logo?
a)
Superbowl
b)
World Series
c)
Olympics
d)
March Madness
109.
Which restaurant  has this logo?
a)
Starbucks
b)
Dunn Brothers
c)
McDonalds
d)
Taco John's
110.
Which company uses this logo?
a)
Android
b)
Samsung
c)
Apple
d)
LG
111.
Which company uses this logo?
a)
Yahoo
b)
Apple
c)
Great Clips
d)
Google
112.
Which company uses this logo?
a)
Coca Cola
b)
Pepsi
c)
Sprite
d)
Mt. Dew
113.
Which restaurant uses this logo?
a)
Pizza Hut
b)
McDonalds
c)
Domino's
d)
Wendy's
114.
Which social media uses this logo?
a)
Youtube
b)
Press Play
c)
Instagram
d)
Vine
115.
a)

CBS

b)

ABC

c)

NBC

d)

Fox

116.
a)

Playstation Plus

b)

Sony Play

c)

StationPlus

d)

Playstation

117.
This represents?
a)
Sonic
b)
Sony
c)
Walmart
d)
Costco
118.
Whats the Brand?
a)
Nike 
b)
Under Armor 
c)
Addias
d)
Jordan
119.

What is this logo?

a)

McChicken

b)

McNuggets

c)

McDonalds

d)

Burger King

120.

What is this logo?

a)

5 Rings

b)

Audi

c)

Olympic Games

d)

Commonwealth Games

121.

What is this logo?

a)

Netflix

b)

Foxtel

c)

Stan

d)

New Movies

122.

What is this logo?

a)

RED cycle

b)

Recycling

c)

Reuse

d)

Three Arrows

123.

What is this logo?

a)

Mazda

b)

Toyota

c)

Audi

d)

Ferrari

124.

What logo?

a)

Cheetos

b)

Pretzels

c)

And a oop

d)

SK SK SK SK

125.

What logo is this?

a)

Tik tok

b)

Takis

c)

Cheetos

d)

Vsco