Honors Algebra 2 Summer Packet The Woodlands College Park ...

Honors Algebra 2 Summer Packet The Woodlands College Park High School

Honors Mathematics courses are designed for those students who show high levels of aptitude for, interest in, and/or commitment to the study of Mathematics. The courses will cover and extend the state required curriculum in both content and depth. Each course is aligned with the College Board's recommendations and prepares students to be successful in college level courses. As you consider academic and extra-curricular commitments for the next school year, it is imperative to consider the following before enrolling in an Honors Mathematics course:

? The pace of Honors courses is faster than that of the academic level Mathematics courses. ? It will be assumed that students in Honors Math courses have mastered the material from

previous Math courses. In general, review of concepts that were developed in the prior Mathematics courses will be minimal. ? Daily attendance and daily review of class notes are crucial for a thorough understanding of the concepts. ? Students should expect an average of 30 to 60 minutes of work outside of class each day. ? Assessments are rigorous and 75% of the course grade is determined by test grades. ? All tests must be completed within a single class period. ? In general, there are not many extra credit opportunities. Grades are based almost solely on mastery of the material.

We have found that the following criteria correlate highly with success in Honors Mathematics courses:

? Near-perfect attendance. Catching up in an Honors Math class can be very difficult. ? Exceptionally high rates of accuracy and timely completion on daily assignments. ? High grades (85 and above) in current Honors Math class. ? Strong ability to work independently. ? Strong organizational and time management skills.

We expect students to have mastered the concepts from Geometry and Algebra 1 prior to the beginning of class. These concepts include, but are not limited to:

? Order of operations ? Factoring ? Solving linear and quadratic equations ? Solving systems of equations ? Writing equations of lines ? Graphing points, lines, and parabolas ? Domain and Range ? Applying laws of exponents ? Simplifying radicals ? Operations with fractions ? Multiplying polynomials ? Inequalities ? Application Problems

The attached summer packet covers the topics listed above and is designed to ensure your readiness to enter Honors Algebra 2 next year.

We will be using the HP Prime graphing calculator in this class. It is suggested that you purchase this to have at home for homework assignments.

If you have any questions or need to refresh your memory, there are several resources available to you online.

? ? ?

You can also visit with any of the current or future Honors Algebra 2 teachers before or after school during tutorials.

*This packet is entirely voluntary and students will not be penalized for not doing it. However, it is highly suggested that students complete it over the summer so that they are ready for Honors Algebra 2.*

Show work on ALL problems. Box your answers. All of these problems are intended to be done without the aid of a calculator.

Simplify each expression using order of operations.

1) 42 2 + [7 - (32 - 5)]

2) [15(10) - 12(10)] ? 10

3) 80 ? 4 2 - 2 2

4) 4[(3 + 2 3) - 5] + 7

5)

(8 - 4) (12 - 3) 1 (2 + 1 2)

2

6) 32 + 7 2 - 8 2

Simplify each algebraic expression.

7) 5(x + y) - 4(3x - 2y +1)

8) 4w(2 - w) + 3w2

30x2 + 20x -10 9)

- 5

10) x2 + y2 -[x(x + y) - y( y - x)] 11) 7[2 - 3(d - 4) + 4(d - 6)]

12) 6 - 3[3 + 3(x - 4)]

Evaluate. 13) -3x2 + 4x when x = -2

-2( y +1) 14) 16 - 2 y2 when y = 4

Solve the following equations. 16) -2(4t - 7) = 3(t -10)

17) -4(6 - 4b) = b + 21

15) -2b2 + 4ab when a = 3 and b = -1

18) 4x - 3 = 6

19) -4(6 y - 5) = 23 - 3(8y +1)

20) 5[12 - 3(2 - y) - 2 y] = 2(1- y) 21) -6x2 = -216

22) 5 (4m + 2) = 35 2

23) 7.6r - 0.2 = 5.2r +1

24) 11- x = 1 3x + 2 2

Solve for the indicated variable.

25) y = mx + 6 , for x

26) V = r2h , for h

27) A = P + Prt , for P

28)

A

=

1 2

h(b1

+

b2 )

,

for

h

29) S = 2wL + 2Lh + 2wh , for L 30) 5xy + 2x = 3, for x

Solve each equation by factoring.

31) 8x2 -18x = 0

32) 4x2 -100 = 0

34) a2 +11a = -18

35) 4x2 - 4x +1 = 0

33) y2 +13y + 36 = 0 36) 3 + 6b + 3b2 = 0

Solve using the quadratic formula. Give answers in exact form. (No decimals.)

37) -2x2 + 8x + 2 = 0

38) 2x2 - 8x = -5

39) 3x2 +1 = 5x

Solve the following systems of equations by using substitution.

-7x - 7 y = 0 40)

x + 4 y = 18

-x -7y = 4 41)

3x + 3y = 6

5x - y = -20 42)

-8x + 5y = 15

Solve the following systems of equations by using elimination.

-4x - 2 y = -12 43)

4x + 8 y = -24

7x +6y = 6 44)

5x + 3y = -6

7x - 9 y = 17 45)

-2x - 2 y = 18

Write each equation in slope-intercept form. 46) x - y = 2x + 3y + 9

47) -2x = 24 - 8y

Find the slope and y-intercept of each equation.

48) y - 2x = 7

49) y = 2x + 7 14

50) 3x + 6 y = 12

suur Find the slope of AB . 51) A(9, 6), B(1, 4)

52) A(-2, 2), B(4, -4)

53) A(-9, 16), B(-11, 16)

Write the slope-intercept form of the equation of the line described.

54) through (0, -1), parallel to y = 3 x - 4 4

55) through (1, -1) and (-1, 5)

Write the standard form (Ax + By = C) of the equation of the line described.

56) through (1, -2), slope = -5

57) through (1, -4), slope = undefined

58) through (-1, -1), perpendicular to y = 1 x +1 59) through (1, -2) and (5, 3) 2

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