Coordinate Algebra: Unit 1 EOC REVIEW
1. A rectangle has an area of 12 m2 and a width
of 400 cm. What is the length of the rectangle?
2. What is the area of a circle with a
circumference of 43.98226 inches? (Use 3.14159
for π.)
A. 3 cm
A. 153.44029 in.2
B. 30 cm
B. 153.93791 in.2
C. 300 cm
C. 153.9325 in.2
D. 3000 cm
D. 153.9394 in.2
3. The tension caused by a wave moving along
a string is found using the formula T 
2
mv
. If m is
L
the mass of the string in grams, L is the length of
the string in centimeters, and v is the velocity of
the wave in centimeters per second, what is the
unit of tension of the string, T?
4. The kinetic energy of an object in motion is
1
found using the formula KE  mv 2 where m is
2
the mass of the object in kilograms and v is the
velocity of the object in meters per second. If the
velocity of the object is 20 meters per second,
what is the coefficient of m?
A. gram-centimeter per second squared
B. centimeters per second squared
A. 10 meters/second
C. grams per centimeter-second squared
B. 20 meters/second
D. centimeters squared per second
C. 200 meters squared/second squared
D. 400 meters squared/second squared
5. A certain population of bacteria has a growth
rate of 0.02 bacteria/hour. The formula for the
growth of the bacteria’s population is
A  P0 (2.71828)0.02t where P0 is the original
6. Two angles of a triangle measure 20 and 50
. What is the measure of the third angle?
A. 30
population and t is the time in hours.
If you begin with 200 bacteria, approximately
how many of the bacteria can you expect after
B. 70
100 hours?
C. 110
A. 7.38905
C. 1477.81
B. 271.828
D. 20,000
D. 160
7. What is the solution to the equation
P  2l  2w when solved for w?
8. Bruce owns a business that produces widgets.
He must bring in more in revenue than he pays
out in costs in order to turn a profit.
It costs $10 in labor and materials to make
each of his widgets.
 His rent each month for his factory is $4000.
 He sells each widget for $25.
How many widgets does Bruce need to sell each
month to make the minimum profit?

A. w 
2l
P
C. w  2l 
P
2
A. 160
2l  P
B. w 
2
P  2l
D. w 
2
B. 260
C. 267
D. 400
A. 2
10. An artist paints designs on T-shirts. It takes 15
minutes to set up the equipment and 40 minutes
to clean the equipment and put it away. Once
everything is set up, it takes the artist about 12
minutes to paint a design on each T-shirt. Which
equation BEST models the number of shirts, s, the
artist can make in 127 minutes?
B. 3
A. 12s – 55 = 127
B. 55 – 12s = 127
C. 4
C. 12s + 25 = 127
D. 12s + 55 = 127
9. This expression is a product. 4(2a +3b)(5x + y)
As written, how many factors make up this
product?
D. 5
11. If the value of z decreases by 2, how does the value of the expression y(16+z) change?
A. decreases by 2y
B. decreases by 32y
C. increases by 14y
D. increases by 18y
12.Which graph shows the solution set for the inequality x > 3y - 2 ?
13. A rectangular field is 100 meters in width and 120 meters in length. The dimensions of the field will
be expanded by x meters in each direction, as
shown in the diagram.
Which function describes the perimeter of
new field in terms of x?
the
A. f(x ) = 220 + 4x
B. f(x) = 220 + 8x
C. f(x) = 440 + 4x
D. f(x) = 440 + 8x
14. Emily wants to solve the equation ax  w  3
for the variable w. Which equation shows the
results of a correctly applied strategy?
A. w  ax  3
B. w  ax  3
15. Which equation is equivalent to
A. 17 x  88
B. 11x  88
C. 4x  44
C. w  3  ax
D. w  3  ax
D. 2x  44
7 x 3x

 11 ?
4
8
16. Which equation is equivalent to 4n  2(t  3)
when solved for t ?
A.
t
4n  2
3
C. t 
4n  6
2
17. Which equation is equivalent to
6( x  4)  2( y  5) when solved for y?
A. y  x  3
B. y  x  5
B. t 
4n  3
2
D. t  4n  3
C. y  3 x  7
D. y  3 x  17
18. This equation can be used to find h, the
number of hours it takes Flo and Bryan to mow
their lawn.
h h
 1
3 6
How many hours will it take them?
A. 6
19. A ferry boat carries passengers back and
forth between two communities on the
Peachville River.
It takes 30 minutes longer for the ferry to
make the trip upstream than downstream.
 The ferry’s average speed in still water is 15
miles per hour.
 The river’s current is usually 5 miles per
hour.
This equation can be used to determine how
many miles apart the two communities are:

m
m

 0.5
15  5 15  5
B. 3
What is m, the distance between communities?
C. 2
A. 0.5 miles
B. 5 miles
D. 1
C. 10 miles
D. 15 miles
20. Which expression represents all values of x for which the inequality
A. x < 1
B. x > 1
C. x < 5
D. x > 5
2 x
  1 is true?
3 3
ANSWER KEY:
1) C
2) B
3) A
4) C
5) C
6) C
7) D
8) C
9) B
10) D
11) A
12) D
13) D
14) A
15) B
16) C
17) C
18) C
19) C
20) B