Suffolk Public Schools
Summer Assignment 2015
Honors Algebra 2/Trigonometry
Pre-requisite(s): B or better in Honors Geometry or Geometry and B or better in Algebra I
Expectations: Honors Algebra II/Trig is a very fast-paced course which requires the student to have developed a
mastery of basic Algebra I skills. Since students did not use these skills in Geometry, they will be required to review.
Resources which will aid in the review of these skills can be found at www.regentsprep.org under “Algebra” and at
www.glencoe.com under Virginia, Algebra I.
Summer Assignment:
Option 1 – Complete the problems below.
What is the simplified form of each expression?
1.
Simplify each expression.
2.
3.
(8 + 7a) + 4
What is the simplified form of each expression?
4.
What is the solution of the equation?
6
x–8=7
5.
7
What is the solution of the equation?
6.
Suffolk Public Schools
Summer Assignment 2015
What is the solution of the proportion?
7.
Which number is a solution of the inequality?
8.
8 < x(7 – x)
What are the solutions of the inequality? Check the solutions.
9.
4x + 6 < –6
What are the solutions of the inequality?
10.
2(b – 8) > 12
What are the solutions of the compound inequality?
11.
What are the solutions of the compound inequality?
12.
2x – 2 < –12 or 2x + 3 > 7
What are the solutions of the equation?
13.
What is the slope of the line that passes through the pair of points?
14.
(1, 7), (10, 1)
Write an equation of a line with the given slope and y-intercept.
15.
m = –5, b = –3
Suffolk Public Schools
Summer Assignment 2015
Graph the equation.
16.
y = 4x – 3
Graph the equation.
17.
y – 4 = 5(x + 1)
Graph the equation
18.
0.5x + 0.2y = 0.1
What is the solution of the system?
19.
y = –x + 2
y = 3x – 1
What is the solution of the system? Use substitution.
20.
3x + 2y = 7
y = –3x + 1Graph the
inequality.
21.
22.
What is the simplified form of each expression?
23.
What is the simplified form of each expression?
24.
Simplify the product.
25.
5a2(3a4 + 3b + 2)
Suffolk Public Schools
Summer Assignment 2015
Simplify the product using FOIL.
26.
(3x – 7)(3x – 5)
What is a simpler form of each product?
27.
(2x – 6)2
What is the factored form of the following expressions?
28.
w2 + 18w + 77
29.
d2 + 2d – 48
What is the factored form of the expression?
30.
6x2 + 5x + 1
What are the solutions of the equation?
31.
Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
32.
Simplify the radical expression.
33.
Simplify the expression.
34.
OR
Option 2-Complete the problems below. Attach any work to this paper for justification.
Simplify Polynomials
1. 2x+3-5x+10
2. (2a-3b)-(3a-4b)
3. 2[4x-5(2x-1)]
Solve Equations
_____________
_____________
_____________
1. 2x-3=5
_____________
2. 2(3x-4)=5x
_____________
3.
4. |2x-1|=5
Solve Inequalities
_____________
_____________
1. 2x+3>11
_____________
2. 5-2x<9
_____________
3. 2<x-1<5
_____________
4. x+3>5 or 2x<-18
_____________
5. |x+3|>6
Systems of Equations
_____________
Simplify and Expand Exponents and
Polynomials
1.
___________
2.
___________
3.
__________
4.
5.
6.
Factoring
1. x22. x2-25
3. x2-x-12
4. 3x2-11x+10
Simplify Radicals
1.
___________
___________
___________
_____________
_____________
_____________
_____________
______________
2.
_____________
3.
_____________
1. 2x+y=3
_____________
3x-y=7
_____________
4.
_____________
_____________
_____________
5.
Solve
_____________
2. 3x+5y=11
x-3y=-1
Linear Equations
1. (3, 4), (-1, 2)
m=__________
2. 2x+3y=12
m=__________
3. m=3, b=2
y=___________
4. m=3, point (2, -1)
y=___________
1. x2+x-12=0
_____________
2
_____________
2. 2x -9x+3=0
2
3. x =5x
Go to the next page.
_____________
Graph
1. y=2x-3
2. 2x+3y=12
3.
4. 2x-3y>6