ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST
1. Order the following numbers from least to greatest: 3 ,
a.
19
, 3, 8.7  10 0,
2
b.

62, 8.7  10 0, 3 ,
c. 8.7  10 0, 3,

d. 3 ,
62,
19
,
2
62, 8.7  10 0 ,
62
19
2

62
19
, 8.7  10 0
2
5
2. Which numbers are both less than - ?
6
6

a. -2.1 and 5
2
3
b. - and 3
4
c. -0.65 and -1.2
d. 3.
2
and -0.8
3
If y  x  3, then when is y a positive number?
a. always
b. when x > -3

c. when x > 3
d. never
4. What is the value of the expression -3x x - x 2 when x = -2?
a. -8
b. -6
c. 0
d. 8
5.
Simplify
20
a. 10




b. 4 5
c. 2 5
d. 5 2
19
2
6. Write the expression in simplest radical form.
18
24
Write your answer on the line.
What is the simplest radical form of the expression? ______________
7. The kinetic energy (K) of a moving object can be found using the equation below, where m is the
object’s mass and v is the objects speed.
mv 2
K=
2
Which shows this equation solved for m in terms of K and v?
a. m =
K
2v 2
v2
b. m =
2K
2K
c. m = 2
v
d. m =
2v 2
K
8. Simplify the expression:
a.
y17
x
b.
y15
x5
c.
y 23
x9


x
2 10
y

2
x 5 y 3

y 26
d.
x7
9. Determine what values of x the expression

5  x is defined for.
Express your answer with an inequality.
Write your answer on the line.

What are the defined values of x? _____________________
3x 1
 8
5
41
a.
5
41
b. 
5
c. 13
d. 13
7. Solve:


 Determine the solution to the equation
8.

æ1
1ö
 3ç x - ÷ = 4 x -1
è4
4ø
Write your answer on the line.
æ1
è4
1ö
4ø
The solution to 3ç x - ÷ = 4 x -1 is ________________
9. Solve 2 3x + 2 - 5 = -7.
a. x = -1 only
b. x = 1 only
c. x = -1 or x = -
1
3
d. no solution
10. The equation 13  2 x  3  5 has two real solutions.
Determine the negative solution of the equation.
 your answer on the line.
Write
What is the negative solution of the equation? ________________
11. Which graph represents the solution set for 15 £ 7n - 2(n -10) < 35?
7.
Solve for x in 4  3x  2  14 .
Display the set of solutions that makes the compound inequality true by graphing them on the number
line below. 
8. A 1,500-gallon tank contains 200 gallons of water. Water begins to run into the tank at the rate of 75
gallons per hour. When will the tank be full but not overflowing?
a.
7 hours, 8 minutes
b. 17 hours, 20 minutes
c. 20 hours
d. 22 hours, 40 minutes
9. Which ordered pair is the solution to the system of equations below?
3x - 7y = -10
5x - y = -6
æ
13 ö
a. ç -1, - ÷
è
7ø
æ 10 ö
b. ç0,
÷
è
7ø
c.
d.
( -1, 1)
(1, -1)
10. Two-hundred items were sold during the High School Math Competition Finals in Wenatchee for a total
of $130.00. The only items sold were cans of pop for $0.50 and bags of popcorn for $0.75.
How many of each item was sold?
a. 120 cans of pop, 80 bags of popcorn
b. 80 cans of pop, 120 bags of popcorn
c. 160 cans of pop, 40 bags of popcorn
d. 40 cans of pop, 160 bags of popcorn
11. Fred, Thomas, and Zachary worked at the ice cream store in the mall. Last week, Fred earned more
money than Thomas, but less than Zachary. The graph shows the money earned by Zachary and
Thomas.
Which area of the graph represents Fred’s possible weekly pay?
a. P
b. R
c. S
d. T
12. The solution set of which system of inequalities is graphed?
a.
b.
c.
d.
y < 3x -1
y < -x + 2
y < 3x -1
y > -x + 2
y > 3x -1
y < -x + 2
y > 3x -1
y > -x + 2
13. Describe what the graph of the equation y - 6 = 3( x +1) looks like.
a.
The line has a slope of 3 and goes through the point (1, -6).
b. The line has a slope of 3 and goes through the point (-1, 6).
c. The line has a slope of 3 and goes through the point (-6, 1).
d. The line has a slope of 3 and goes through the point (6, -1).
14. Write an equation of the line that passes through the pair of points.
(-5, -2), (3, -1)
1
11
x
8
8
1
11
b. y  x 
8
8
1
11
c. y   x 
8
8
1
8
d. y  x 
8
11
a.


y

1
15. Which of these is the equation of a line with y-intercept (0, 2) and slope ?
3

1
a. y  x  2
3
1
b. y  2x 

3
1
y  2x
 c.
3
1
2y  x

3
d.
1
16.
 Which equation is y  x  5 in standard form?
3
1
a.  x  y  5

3
1
x y 5
b.

3
c. x  3y  15

d. x  3y  15

17. Consider the two equations below.


x+y =6
y = -x + 2
Which statement correctly describes the graphs of these equations?
a. The lines are parallel
b. The lines are perpendicular
c. The lines coincide
d. The lines intersect at (2, 4)
18. Mary is going to deposit an equal amount of money into a checking account each month until she has
saved $500. The amount of money, y, in the account after x months can be modeled by the equation
y = 25x +100.
What does the slope of the graph of the equation represent?
a. The amount of money deposited monthly
b. The amount of money originally in the account
c. The number of months it would take to earn $100
d. The number of months it would take to reach $500
19. Tara’s cell phone plan costs $39.00 a month, which includes 100 text messages. After she uses all of her
text messages, it will cost her $.15 per text message.


Write an equation or inequality that could be used to determine the total cost of her cell
phone bill after her first 100 text messages.
If Tara only wants to spend $43 on her cell phone bill, how many text messages can she
send?
20. Empire Disposal has three salary options for its part-time summer employees. The total money earned is
related to the amount of cans recycled and an optional hourly wage.
Option 1: $0.25 a can plus $1.00 an hour
Option 2: $0.05 a can plus $5.00 an hour
Option 3: $0.40 a can and no hourly wage
Jamal estimates that he can recycle a minimum of 20 cans per hour.


Based on Jamal’s estimation, which option will allow Jamal to make the most money?
Show your work to support your answer using words, numbers, and/or diagrams.
Which option allows Jamal to make the most money? __________________________
19. An automobile dealer sold 180 vans and trucks at a sale. He sold 40 more vans than trucks.
Let v = the number of vans sold.
Let t = the number of trucks sold.
 Write equations to determine the number of vans sold during the sale.
 Use the equations to determine the number of trucks sold during the sale.
Show your work using words, numbers, and/or diagrams.
20. The chart shows the amount of total salary (commission plus base salary) paid to employees of a store
that specializes in big screen televisions.
Which equation best represents the total salary (T) that an employee makes for selling any
number of television sets (n)?
a. T = 50n + 100
b. T = 100(n + 50)
c. T = 100n + 50
d. T = 50(n + 100)
21. In 2000, 5500 people attended the State B basketball tournament. The enrollment has been increasing
2% annually. Select the equation that would determine the total number of people who attend t years
after 2000.
a.
y  5500(.02) x
b. y  5500(0.2) x

c.
y  5500(1.02) x
d. y  5500(1.2) x

21. The town of Colville had a population of 27,500 until the town’s largest employer went bankrupt. Which
 function model’s the population t years after the bankruptcy if it decreased by 3% each year.


a.
p(t) = 27,500(.03)
b.
p(t) = 27,500(1.03)
c.
p(t)  27,500(.97) t
d.
p(t) = 27,500(1.97)
t
t
t
22. Mr. Shindler begins traveling east on Interstate 90 from Spokane with a full tank of gasoline. His car has
a 15-gallon gas tank and gets 30 miles per gallon during highway travel.
Let m = the number of miles Mr. Shindler has driven
Let g = the number of gallons of gas remaining in his tank
 Select and justify in the answer box which equation describes the relationship between the
number of miles Mr. Shindler has traveled and the number of gallons remaining in his gas
tank.
a. g  15  30m
b. m  30g  15
m
c. g  15 
30

30
d. m 
 15

g
Show your
 work using words, numbers, and/or diagrams.

23. The population of a town in 2003 was estimated to be 35,000 people with an annual rate of increase of
about 2.4%. The equation shown represents the growth of the population, where y is the number of
people living in the town in t years after 2003.
y  350001.024
t



Determine the approximate population in 2007.
Write your answer on the line.
What is the approximate population in 2007? ___________________
24. Use the following function:
f (x)  3x  7



Evaluate f (x) at f (3) .
Determine x when f (x)  5
Write your answer on the line.



f (3) = ______________________________
x = ___________________________________ when 𝒇(𝒙) = −𝟓

22. The
Walla Walla High School baseball team is doing a fundraiser selling pizzas at a basketball
game. The total amount y in their account after the fundraiser is a function of the number of pizzas
x they sell and can be modeled by the function y = 200 +10x .

State the domain and range in the context of the problem if they have 25 pizzas to sell.

Write your answer on the line.
Domain: ____________________ Range: ____________________
25. Which statement best describes the transformation of the graph of y = x to the graph of y = x + 2 - 4
?
a. The graph shifts up 2 units and left 4 units.
b. The graph shifts down 2 units and right 4 units.
c. The graph shifts right 2 units and up 4 units.
d. The graph shifts left 2 units and down 4 units.
26. Graph A is the graph of y  2(3) x and graph B is the graph of y  3(2) x .
Which statement about the two graphs is true?
a. Both graphs
A and B rise at the same rate. 

b. Graph B rises at a faster rate than graph A.
c. Graph A rises at a faster rate than graph B.
d. The y-intercept of graph A is above the y-intercept of graph B.
23. Consider the graph below.
Which function is best represented by this graph?
a.
f (x) = 2x
b.
f (x) = -2 x
c.
æ 1 öx
f (x) = ç ÷
è 2ø
d.
æ 1 öx
f (x) = 2ç ÷
è 2ø
27. Solve the equation 3x  729 .
a. x = 5
b. x = 6

c. x = 243
d. x = 726
24. When 2x =165, what is the value of x?
a. 4
b. 9
c. 20
d. 32
25. Which of the following represents y as a function of x?
a.
b.
c.
d.
28. Which table represents the recursive formula:
an = an-1 - 6
29. The manager of Dave Smith Motors in Spokane records the number of cars sold by each salesperson
during each month of the year. In a graph showing the car sales made by Salesperson #1 over the course
of a year, which would be the independent variable?
a. Months
b. Car Types
c. Salespeople
d. Number of Cars Sold
30. Brad and Tom are comparing their classes' scores on a math test. Both of their classes had mean scores
of 80 on the test, but Brad's class had a range of 6 while Tom's class had a range of 30. If the highest
possible score was 100, which class had the LOWEST score in it?
a. Brad's class had the lowest score in it.
b. Tom's class had the lowest score in it.
c. The lowest score occurred in both classes.
d. It cannot be determined from the information.
26. Two different surveys were taken and included the age of each person. The first survey was a group of
students at Lake Washington High School and was 10, 11, 12, 13, 14, and 15 years old. The other was a
group of adults that were twice their age. What happens to the mean and range in comparing the children
and adult ages?
a. The mean doubles and the range stay the same.
b. The mean doubles and the range doubles.
c. The mean increases and the range decreases.
d. The mean doubles and the range increases by an unknown amount.
27. Mr. William’s decided to display the scores from his chemistry test graphically by a box and whisker
plot. If the average on the test was an 80%, which of the following shows that 50% of the students got at
least an 80% on the test?
31. The graph shows the number of snowboarders who competed at the USASA Snowboard Competition at
Schweitzer Mountain in recent years.
1
2
3 4
5
6
Years after 2000
7
The Line of best fit for the scatterplot is modeled by y  6.5x  20 , where x is the number of
after 2000 and y is the number of total participants.
years
If the current trend continues, about how many participants will there be in the year 2012

a. 33
b. 92
c. 98
d. 306
32. Vance graphed the relation between fund-raising profits for the chess club and the number of members.
Which equation represents a line that fits the data?
a.
y  29n 180
b. y  60n 180



c.
y
d. y 
2
n 180
3
200
n 180
3
28. A movie theater sells tickets and refreshments as a fundraiser. The data points below show the amount
of money collected after every five customers completed all of their purchases.
What does the slope of the line of best fit represent?
a. The cost of one ticket.
b. The exact amount of money spent by each customer.
c. The average amount of money spent by each customer.
d. The difference between the amounts spent by any group of two customers.
33. A scatterplot is shown.
Which statement describes the correlation of the data graphed in the scatterplot?
a. Strong negative
b. Strong positive
c. Weak negative
d. Weak positive
NAME: ___________________________________________
ALGEBRA I END-OF-COURSE EXAM PRACTICE TEST #1
Answer Key
Problem
Number
Standard
Problem
Number
1
A1.2.A
20
A1.1.A
2
A1.2.B
21
A1.1.A
3
A1.2.C
22
4
A1.7.D
23
A1.1.E
5
A1.2.C
24
A1.3.B
6
A1.2.B
25
A1.3.C
7
A1.4.A
26
A1.4.E
8
A1.4.B
27
A1.7.A
A1.1.B
28
A1.7.B
10
A1.1.C
29
A1.7.C
11
A1.4.A
30
A1.3.B
12
A1.4.B
31
A1.3.A
13
A1.4.B
32
A1.6.A
14
A1.4.C
33
A1.6.B
15
A1.4.C
34
A1.6.C
16
A1.4.A
35
A1.6.D
17
A1.4.D
36
A1.6.D
18
A1.4.C
37
A1.6.E
9
19
Answer
Short Answer
Short Answer
Answer
Short Answer
Standard
A1.1.A
A1.1.C
SCALE SCORE:
/ 40