1. Coordinate Algebra
Practice
EOCT Answers
Unit 1

2. × = Unit 1 #1 Step 1: Change 12 meters to centimeters 12 m 100 cm
A rectangle has a length of 12 m and a
width of 400 cm. What is the perimeter
of the rectangle?
Step 1: Change 12 meters to centimeters
A. 824 cm
B cm
C cm
D cm
12 m 1
100 cm
1 m × =
1200 cm
Step 2: Find perimeter using formula
P = 2L + 2W
400 cm
1200 cm
P = 2(1200 cm) + 2(400 cm)
P = cm cm
P = cm

3. Unit 1 #2 The tension caused by a wave moving along a string is found
using the formula T = If m is 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 the tension of the string, T ?

4. (cm) 1 A. gram-centimeters per second squared#2
Unit 1
(cm) 1
A. gram-centimeters per second squared
B. centimeters per second squared
C. grams per centimeter-second squared
D. centimeters squared per second

5. #3
Unit 1
The distance a car travels can be found using the formula d = rt, where d is the distance, r is the rate
of speed, and t is time. How many miles does the car travel, if it drives at a speed of 70 miles per hour for ½ hour?
d = r t
A. 35 miles
B. 70 miles
C miles
D miles
= 35 miles

6. Unit 1
A certain population of bacteria has an average growth rate of 0.02 bacteria per hour. The
formula for the growth of the bacteria’s
population is A= P ( )0.02t, where P0 is the original population, and t is the time in hours. #4
If you begin with 200 bacteria, about how many bacteria will there be after 100 hours?
A= P( )0.02t
Answer
1478
A= 200( )0.02100
A= 200( )2
A= 200( ) =

7. The sum of the angle measures in a triangle is 180°. Two angles of a #5
Unit 1
The sum of the angle measures in a triangle is 180°. Two angles of a
triangle measure 20° and 50°. What is the measure of the third angle?
Third Angle = x
A. 30°
B. 70°
C. 110°
D. 160°
x + 20° + 50° = 180°
x + 70° = 180°
–70°
–70°
x = 110°

8. = = P = 2l + 2w P – 2l = 2w P – 2l 2w 2 P – 2l w 2 –2l –2l#6
Unit 1
Which equation shows P = 2l + 2w
when solved for w ?
P = 2l + 2w A. B. C. D.
–2l –2l
P – 2l = w
P – 2l w 2 =
P – 2l 2 w =

9. #7
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.
Unit 1
 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 monthly to make a profit?
Revenue (in dollars)
from selling x widgets
A. 160
B. 260
C. 267
D. 400
Cost to make x widgets
C = 10x
R = 25x
Note: A profit occurs when enough widgets are
made and sold to break even. (i.e. R = C)
R = C
(Set up equation)
25x = 10x

10. #7
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.
Unit 1
 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 monthly to make a profit?
A. 160
B. 260
C. 267
D. 400
(Set up equation)
25x = 10x
–10x
–10x
15x =
15x 15 =
Note: A minimum of
267 widgets must be sold
in order to make a profit.
x =