Geometry Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
The problems in this packet are designed to help you review topics from previous math
courses that are important to your success in Geometry.
It is important that you take time during summer break to review the math concepts you learned this past school
year. In order to ensure that you are appropriately placed in, and prepared for Geometry, you may be required
to take a course pre-assessment when you return to school next year.
It is YOUR responsibility to prepare for the course pre-assessment!
The specific math concepts that will be assessed are listed on the front page of this summer packet. To prepare
for the course pre-assessment, you are encouraged to complete this summer math packet. Please note, this
summer math packet will not be collected or graded. Instead, the course pre-assessment will be used to measure
your knowledge of the prerequisite skills.
If you have any questions, please feel free to email the resource teacher, [email protected]
Concepts To Be Assessed
on the Geometry Course Pre-assessment.
Students should be able to:
 Calculate and apply slope.
 Write and solve linear equations.
 Add, subtract, multiply, divide and factor polynomial expressions.
 Simplify radical expressions and use the properties of exponents.
 Use the Quadratic Formula and Pythagorean Theorem to solve problems.
 Plot points on the coordinate plane (quadrants and values for x and y).

Calculate the area, perimeter, and circumference of basic geometric shapes.
Geometry Prerequisite Packet
Updated 6/2015
Name _____________________________________
Paint Branch High School Math Department
Date ___________________ Pd _______
1. Determine the slope of the line through the
points (5, 1) and (2, 7).
2. Determine the slope of the line through the
3. Write the equation of the line passing through
the points (3, -4) and (2, 6).
4. Solve for x: 3(x – 2) = 18
5. Solve for x:
7x - 8x + 4 = 5x - 2.
points (-
1
3
, -2) and (- , 1)
2
2
6. Solve for x:
x x3

6
9
Geometry Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
7. Solve for x: x ² - 6 x – 7 = 0
8. Multiply (x – 3) (2 x + 4)
9. Simplify
10. Simplify (5 x 3 y 2 ) 2
196
Use the quadratic formula: x =
 b  b 2  4ac
for Problems 11-12.
2a
11. x  9 x  5
12. 3x  x  4
13. Factor x  5x  24
14. Factor x  25
2
2
2
2
Geometry Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
Use the Pythagorean Theorem: a  b  c to solve Problems 15-16.
2
2
2
15.
16.
a
5 cm
c
14 ft
11 ft
12 cm
17. Find the area and perimeter for the figure
below.
3x
Area:
Perimeter:
18. Find the area and circumference of a circle
with radius 6 inches.
x+2
Area:
Circumference:
Geometry Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
Use the graph below to answer Problems 19-20.
19. Give the coordinates of each lettered point.
20. Given the following coordinates, plot the
points on the coordinate plane above.
A _________________
D (-2, 3)
B _________________
E ( 1,0)
C _________________
F (2, -3)
y


B












C
A








x