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Coordinate Algebra EOC Review

Total questions: 150

Worksheet time: 6hrs 11mins

Name
Class
Date
1.
Choose the most appropriate unit to measure the image shown. 
a)
in.
b)
ft
c)
yd
d)
mi
2.
What would you use to measure the amount of liquid medicine to give a child?
a)
liter
b)
cup
c)
milliliter
d)
gallon
3.
What would you use to measure the amount of liquid in a pool?
a)
cup
b)
inch
c)
gallon
d)
pint
4.

This graph shows the amount of gas, in ounces, in a lawn mower gas tank, modeled as a function of time.

a)

The maximum amount of gas in the gas tank was 60 ounces.

b)

The amount of gas in the gas tank is at a maximum at 0 minutes.

c)

The gas tank will be empty after 60 minutes.

5.

Jared measured the total height of the water in a bucket at different times during a rainfall. He displays his data using the graph shown. Select ALL the conclusions that Jared can correctly make using the graph.

a)

The height of the water in the bucket increases 1/2 inch every minute.

b)

The height of the water in the bucket increases at a rate of 3 inches per hour.

c)

In the first 20 minutes, the height of the water increases by 2 inches.

d)

It takes 60 minutes for the height of the water to increase by 4 inches.

e)

There is already 1 inch of water in the bucket when Jared places it outside.

6.

The outside temperature (in degree Celcius) is modeled as a function of time. Consider this graph of the function. Find the average rate of change in temperature, measured as degrees Celcius per hour, between 7:30 and 9:30.

a)

6

b)

3

c)

2/6

d)

1/3

7.

The value of one share of a company's stock over 15 business days is shown on the graph. Enter the rate of change in the value of one share of the company's stock, in dollars per day, from Day 0 to Day 15.

a)

0.6

b)

15/6

c)

6

d)

0.4

8.

The total daily expenses to operate Sheila’s pie bakery are the cost of salaries and ingredients. Sheila has four employees, and she pays each worker a daily rate. On average, it costs the same amount of money to make each pie. This expression shows the total daily expenses for Sheila’s bakery to make x pies.


4(75) + $0.50x


What does the term 4(75) represent?

a)

The amount of money Sheila must pay her employees per day.

b)

The number of pies Sheila must sell per day.

c)

The total cost of expenses per pie.

d)

The amount of money customers pay per pie.

9.

The time that it takes to fill a tank depends upon the rate at which the water is flowing. It takes 40 minutes to fill the tank at the rate of 3 gallons per minute. How many minutes will it take to fill the tank at the rate of 4 gallons per minute?

a)

12∕40

b)

30

c)

50

d)

53 1⁄3

10.

How many inches are in 12 feet?

a)

1 inch

b)

24 inches

c)

120 inches

d)

144 inches

11.

The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared?

a)

3⁄8 inches per secondsquared

b)

2 2⁄3 inches per second squared

c)

384 inches per second squared

d)

1,024 inches per second squared

12.

To fit between two windows, the width of a bookshelf must be no greater than 6 1⁄2 feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows?

a)

The bookshelf is 12 inches too wide to fit between the windows.

b)

The bookshelf will fit between the windows with no extra room remaining.

c)

The bookshelf will fit between the windows with 1 inch remaining.

d)

The bookshelf is 5 inches too wide to fit between the windows.

13.

Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

a)

$12.80

b)

$31.20

c)

$38.40

d)

$115.20

14.

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?

a)

36 characters

b)

144 characters

c)

360 characters

d)

432 characters

15.
Which shows the difference of sixteen and two divided by seven
a)
(16 + 2) ÷ 7
b)
(16 - 2) ÷ 7
c)
16 ÷ 2 + 7
d)
16 ÷ 2 - 7
16.
Write an expression to represent "20 minus the product of 5 and 2" 
a)
5 x 2 - 20
b)
(20 - 5) x 2
c)
20 - (5 x 2)
17.
Which phrase matches the numeric expression?
(20 + 4) ÷ 6
a)
20 plus 4 divided by 6
b)
the sum of 20 and 4 multiplied by 6
c)
20 plus the quotient of 4 and 6
d)
the sum of 20 and 4 divided by 6
18.
Identify a constant in the expression
3x + 2y + 7
a)
3
b)
2y
c)
7
d)
2
19.
How many terms are in the expression
3x + 2y + z
a)
5
b)
2
c)
4
d)
3
20.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
21.
How many terms are in the expression
3a + 2b + c + 100
a)
3
b)
4
c)
5
d)
6
22.
How is the number 9 best described in the expression
9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
23.

The temperature in Reklaw is 70°F and is decreasing at a rate of 2° per hour. The temperature in Sacul is 68°F and is decreasing at a rate of 1.5° per hour. Write an inequality to represent the number of hours until the temperature in Reklaw is lower than the temperature in Sacul.

a)
b)
c)
d)
24.

Roger and Novak are having a hot dog eating contest. Novak has consumed 7 hot dogs and Roger has consumed 8 hot dogs. From that point, Roger eats 3 hot dogs each minute while Novak eats 4 hot dogs per minute. Write an inequality to represent how many minutes, m, it will take Novak to eat as many or more hot dogs than Roger.

a)
b)
c)
d)
25.

What does the variable represent in the following problem?


A handyman charges a flat rate of $70 and an additional $30 per hour for labor. How many hours did the handyman work if he made $250?

a)

money

b)

handymen

c)

hours

d)

labor

26.

Solve for b

a)

A

b)

B

c)

C

d)

D

27.

Solve for r

a)

A

b)

B

c)

C

d)

D

28.

Solve for T

a)

A

b)

B

c)

C

d)

D

29.

Solve for m

a)

A

b)

B

c)

C

d)

D

30.

Solve for n

a)

A

b)

B

c)

C

d)

D

31.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
32.
What is step 3
a)
Addition property of equality
b)
Substitution property (simplify)
c)
Subtraction property of equality
33.
15 + 7x ≥ 29
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x > 2
34.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
35.
-2x + 3(-4x + 6) ≤116
a)
x ≤ -7
b)
x ≥ 29
c)
x ≥ -7
d)
x ≤ 29
36.
A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?
a)
1.75n + 0.75 ≥ 20
b)
1.75n + 0.75 ≤ 20
c)
0.75n + 1.75 ≥ 20
d)
0.75n + 1.75 ≤ 20
37.
2x < -3x + 15
a)
x > 3
b)
x > 15
c)
x < 3
d)
x < 15
38.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
39.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
40.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
a)
45 minutes
b)
90 minutes
2x + 4y = 315
c)
60 minutes
3x + 4y = 450
d)
30 minutes
41.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
42.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
43.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
44.

7(1 - y) = -3(y - 2)

a)

y = 1/4

b)

y = 4

c)

y = 5

45.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
46.
Which ordered pair is a solution of
the equation
y = 6x?
a)
(12, 2)
b)
(4, 18)
c)
(3, 18)
d)
(6, 1)
47.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
48.
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)
49.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
50.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
51.
Which of the following situations
corresponds to this graph? 
a)
A bicyclist accelerates from a stop, travels at a constant speed, then slows to a stop.
b)
A car accelerates from a stop,
travels at a constant speed, slows,
and then travels at a slower speed.
52.
Which equation represents the
values of the ordered pairs below?
x:  -1   0  1  2   3
y:  -1   1  3  5   7
a)
y = x - 1
b)
y = 2x + 1
c)
y = x + 2
d)
y = x + 1
53.
Which of the following situations
corresponds to this graph?
a)
A car, accelerates from a stop,travels at a constant speed, slows,
and then travels at a slower speed.
b)
An airplane travels at a constant
speed then decelerates to a slower speed.
c)
An athlete warms up by walking
around the track, runs, then jogs.
d)
A bicyclist accelerates, travels at a
constant speed, then slows to a
stop.
54.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
55.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
56.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
57.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
58.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
59.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
60.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
61.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
62.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
63.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
64.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
65.

Function notation

If f(t) = t2 - t,find f(-8)

a)

-72

b)

-56

c)

56

d)

72

66.

Given h(x) = -9x +5, find h(8).

a)

h(8) = -360

b)

h(8) = -67

67.

given t(x)=3x2+2, find t(4)

a)

26

b)

50

c)

9

d)

17

68.

Given g(x)=20(2)x, find g(3).

a)

103

b)

160

c)

120

d)

97

69.
Using the graph, what does f(8) equal?
a)
8
b)
2
c)
1
d)
0
70.
p(-4) =
a)
 -4
b)
 0       
c)
-1
d)
 3
71.
Find the next three terms:
5, 8, 11, 14...
a)
16, 19, 22
b)
17, 19, 21
c)
17, 20, 23
d)
16, 18, 20 
72.
Given the recursive formula below, find the first five terms.  
u1 = 3
un = un-1 + 2
where n ≥ 2
a)
3, 5, 7, 9, 11
b)
5, 7, 9, 11, 13
73.
Given the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....
a)
u1 = 15
un = un-1 + 3
b)
u0 = 15
un = un-1 + 3
c)
u1 = 15
un = un-1 - 3 
d)
u0 = 15
un = un-1 - 3
74.
Given the recursive formula below, find the explicit formula.  
a0 = 1
an = an-1 + 5
a)
an = 6 + 5n
b)
an = 1 + 5n
75.

Identify the common difference.

-6, -3, 0, 3, 6....

a)

4

b)

3

c)

-4

d)

-3

76.
The next two terms of the sequence 4,7,10,13 are
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
77.

The next term of the sequence 2,4,8,16 is

a)

64

b)

32

c)

108

d)

20

78.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
79.
Is the sequence geometric or arithmetic?
6, 18, 54...
a)
Arithmetic
b)
Geometric
c)
Neither
80.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
81.

Given the sequence 4, 11, 18, 25...... what is a3 ?

a)

4

b)

11

c)

18

d)

25

82.

Over what interval is the graph increasing?

a)

-2 < x < -1

b)

-1 < x < 2

c)

x > 4

d)

-4 < x < -2

83.

Where is the graph constant?

a)

x > 4

b)

-1 < x < 1

c)

x < -4

d)

2 < x < 3

84.
#7 - List the types of intervals that the graph demonstrates in order.
a)
decreasing, constant, increasing, constant
b)
increasing, decreasing, constant
c)
increasing, constant, increasing, constant
d)
increasing, constant, decreasing, constant
85.
When is the velocity decreasing?
a)
0 < t < 60
b)
40 < t < 60
c)
15 < t < 40
d)
-40 < t < 0
86.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
87.

The function shown contains:

a)

Only one local maximum.

b)

Two local maximums.

c)

Two local minimums.

d)

Three local maximums

88.
Identify the relative maximum:
a)
(0, 3)
b)
(4, 1)
c)
(3, 0)
d)
(1, 4)
89.
What are the local maxima?
a)
2
b)
0
c)
3
d)
None
90.
What are the absolute minima?
a)
-4
b)
0
c)
-1
d)
None
91.
Find the 10th term.
a)
16
b)
12
c)
21
d)
30
92.

Identify the percent (%) increase or decrease for the following function.


f(x) = 35 (1 – 0.06)x

a)

Increase by 6%

b)

Decrease by 0.06%

c)

Increase by 0.06%

d)

Decrease by 6%

93.

What is the percent (%) of increase or decrease in the following function?


f(x) = 3000 (1 + 0.4)x

a)

Decrease by 4%

b)

Increase by 4%

c)

Increase by 40%

d)

Decrease by 40%

94.

Identify the percent (%) increase or decrease for the function below:


f(x) = 3000 (1.17)x

a)

Increase by 0.17%

b)

Increase by 17%

c)

Decrease by 17%

d)

Decrease by 0.17%

95.

Jimmy purchased a rare coin for $350. It will appreciate (increase) in value by about 6% each year. Write the equation that represents this.

a)

f(x)=350(0.06)x

b)

f(x)=0.06(350)x

c)

f(x)=350(1 - 0.06)x

d)

f(x)=350(1 + 0.06)x

96.

Luke purchased a car for $18,500. It will depreciate (decrease in value) 16% each year. Write an equation to represent the scenario.

a)

f(x)= 18,500 (1 + 0.16)x

b)

f(x)= 0.16 (18,500)x

c)

f(x)= 18,500 (1 - 0.16)x

d)

f(x)= 0.84 (18,500)x

97.
What is the equation for the table?
a)
y = 4(2)x
b)
y = 2(4)x
c)
y = 2(8)x
d)
y = -2(4)x
98.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
a)
Growth
b)
Decay
99.
What is the equation for the table?
a)
y = 1(2)x
b)
y = 2(1)x
c)
y = 2(3)x
d)
y = 3(2)x
100.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
101.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
102.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
103.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
104.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
105.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
106.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
107.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
108.
Find the area of the quadrilateral on the coordinate plane
a)
10 sq. units
b)
6 sq. units 
c)
8 sq. units
d)
12 sq. units
109.
Find the perimeter of the figure to the right.  Round to the nearest tenth.
a)
20.8 units
b)
116 units
c)
11.5 units
d)
19.8 units
110.
What is the relationship of lines AB and CD?
Given:  
A(2, 7) and B(-3, -3)
and
C(3, -6) and D(5, -8)
a)
Parallel
b)
Perpendicular
c)
Neither
111.
What is the MOST specific type of quadrilateral  formed by A(-2, -1), B(0, 6), C (7, 4), and D(5, -3)?  Why?
a)
Parallelogram (opposite sides are parallel)
b)
Trapezoid (one set of parallel sides)
c)
Rectangle (adjacent sides are perpendicular)
d)
Square (adjacent sides are perpendicular and all sides are congruent)
112.

Find the point that is 2/5 of the distance from C to D.

a)

(-1, 2)

b)

(0, 0)

113.

Find the point that divides the directed line segment YX into a ration of 3:1.

a)

(-6, -2)

b)

(2, -4)

114.
How many students received a score in the 80's?
a)
2
b)
10
c)
14
d)
27
115.
What is the MODE of this data?
a)
90
b)
85, 90, and 95
c)
85 and 95
d)
None
116.
The median is
a)
The middle score
b)
 Scores added & divided by the number of scores
c)
The most frequent score
d)
The middle when in order
117.
The mode is
a)
The middle score
b)
 Scores added & divided by the number of scores
c)
The most frequent score
d)
The middle when in order
118.
What is the MEAN for this data?
a)
80
b)
1040
c)
13
d)
81
119.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
120.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
121.
What type of graph is this?
a)
Bar Graph
b)
Histogram
c)
Line Plot
122.
Which interval has 400 employees?
a)
33-43
b)
0-10
c)
77-87
d)
66-76
123.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
124.
Which best represents the Interquartile Range
a)
15
b)
93
c)
85
d)
78
125.
Find the Maximum
a)
68
b)
98
c)
85
d)
93
126.
Find the Median
a)
98
b)
93
c)
78
d)
85
127.
What is the approximate spread of the data?
a)
30
b)
50
c)
85
d)
78
128.
a)
positive trend
b)
negative trend
c)
no trend
129.
a)
positive trend
b)
negative trend
c)
no trend
130.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
131.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
132.
 A line has an equation of y = - 3x + 8.  What is the y-intercept of the line?  Please enter your answer as a coordinate (x, y).
a)
(0, -3)
b)
(0, 3)
c)
(0, -8)
d)
(0, 8)
133.
Write the equation of the line. 
a)
A
b)
B
c)
C
d)
D
134.
Write the equation for the line.
a)
A
b)
B
c)
C
d)
D
135.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
136.
Write an equation in point slope form that passes through the following points.
(1, 4) and (-1, 1)
a)
y-4=3/2(x-1)
b)
y+4=3/2(x-1)
c)
y=3/2x+4
d)
x-4=3/2(y-1)
137.
Write the equation in standard form.
3y = -6x + 7
a)
6x + 3y = 7
b)
-6x + 3y = 7
c)
6x - 3y = 7
d)
6x + 3y = -7
138.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

139.
Write the following equation in slope-intercept form:
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
140.

Find the slope-intercept equation

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 1/4x - 6

d)

y = -1/4x + 6

141.

Find the slope-intercept equation

a)

y = 2x + 3

b)

y = -2x +3

c)

y = 1/2 x+3

d)

y = -1/2 x+3

142.

Find the slope-intercept equation

a)

y = 3x + 5

b)

y = -3x + 5

c)

y = -1/3 x + 5

d)

y = -1/3 x - 5

143.

Find the graph of the standard form equation: 2x - 5y = -20

a)
b)
c)
d)
144.

Find the graph of the standard form equation: 2x - y = 0

a)
b)
c)
d)
145.

What is the interval of decrease?

a)

x > 2

b)

x < 2

c)

x = 2

d)

The graph is always decreasing

146.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
147.
Vertical or horizontal?
y = -3
a)
vertical 
b)
horizontal
c)
neither
148.
Vertical or horizontal?
Slope of 0
a)
vertical
b)
horizontal
c)
neither
149.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
150.
If a line goes through the points (4, 5) and (4, 7), what type of line is it?
a)
Horizontal line
b)
Vertical line
c)
Slanted line
d)
No way to tell

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