2YR Algebra 2A Prerequisite Packet

2YR Algebra 2A 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 2YR Algebra 2A.
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 2YR Algebra 2A, 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 2YR Algebra 2A Course Pre-assessment.
Students should be able to:
 Simplify, add, subtract, multiply and divide fractions.
 Simplify, add, subtract, multiply and factor polynomial expressions.
 Solve multistep linear equations in one variable.
 Write the equation of a linear function in slope-intercept and point-slope form.
 Graph a linear equation in two variables.
 Solve a system of linear equations in two variables.
 Add, subtract, and scalar multiply matrices.
 Solve quadratic equations.
2YR Algebra 2A Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
Standard Form:
Slope-Intercept Form:
Ax + By = C
y =mx+b
where A and B are not both
zero
where m = slope and b = yintercept
Name _____________________________________
Let x1 , y1  and x2 , y 2  be two
points in the plane.
slope =
y 2  y1
x 2  x1
Date ___________________ Pd _______
Factor each of the following polynomials:
1) x 2  x  72
2) 10m3 n 2  15m 2 n
3) x 2  12 x  36
4) x 2  64
5) a 2  10a  24
6) 3x 2  18x  27
Solve the following quadratic equations:
7) ( x  1)( x  3)  0
8) p 2  6 p  0
2YR Algebra 2A Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
Simplify each of the following:
9) (3x 2  4 x  7)  (2 x 2  7 x  8)
10) (4a 3  2a 2  a  7)  (3a 3  2a 2  a  8)
11) ( x  7)( x  5)
12)  3xy 3 ( x  2 y)
13) (15a 4 b 2 c) 0
14) (8a 3b 2 )(2a 4 b 5 )
(3x 2 y ) 3
15)
6 x 2 y 5
16) ( x  6) 2
Solve for x:
17)  4(3  x)  8
18) 3x  2( x  1)  0
2YR Algebra 2A Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
Solve the system of equations:
19)  2 x  y  8
y  3x  2
Graph each of the following without using a calculator.
3
20) y   x  4
4
21) y  3x
y
y
x
x
Complete these problems WITHOUT using a calculator.
6  3
5 6 
B
Given the following matrices, A  

 C  0
2 1 
2  1
22) A + B
23) A - B
5 , determine:
24) -2C
2YR Algebra 2A Prerequisite Packet
Updated 6/2015
Paint Branch High School Math Department
Perform the given operations with fractions WITHOUT using a calculator. Show all work and simplify your
final answer.
1 1
3 5
3
25) 
27) 
26) 2 
2 4
4 7
4
28)
17 2

5 10
29)
31)
2
8
3
32)
1 5

x x
9
5
16
30)
5 1

2 4
5 2  1
33)     2 
 6 10   4 
Answer the following questions concerning linear equations.
34) Determine the slope of the line
1
35) Determine an equation for a line with slope
containing the points (6,-2) and (-1,5).
2
and y-intercept at (0, -3).