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Name: __________
Lyman Memorial High School
Algebra 2
Prerequisite Packet
Dear Algebra 2 Students,
Within this packet you will find mathematical concepts and skills learned in Algebra 1 that are
the foundation from which Algebra 2 is built. These concepts need to be reviewed and
practiced throughout the summer. The Algebra 2 course has recently undergone course design
and curriculum changes making such review work important and essential for your success in
Algebra 2.
The Algebra 2 prerequisite packet will be due the first day of school. The packet will be graded
and will count as a test grade. Your test grade will reflect both your effort (50%), which is
based on attempting all problems and showing work for all problems, and accuracy (50%).
The Algebra 2 prerequisite packet contains sample examples that have been done out for each
concept, followed by Try these problems for you to complete. Below are a few websites you
may wish to visit for additional examples and support:
Algebra 1 Online: http://teachers.henrico.k12.va.us/math/hcpsalgebra1/modules.html
Algebra 2 Online: http://teachers.henrico.k12.va.us/math/hcpsalgebra2/modules.html
Algebra Help: http://www.algebrahelp.com/
Results from the summer prerequisite work will help guide skill and concept reinforcement
lessons that will take place the first few weeks of school
Have a nice summer,
Lyman Math Department
Directions: Show all of your work in order to receive credit.
Section 1: Ordering and Comparing Numbers
Try these: Graph the number on a number line and then write the numbers in order from least
to greatest.
1. _______________
2. _______________
Section 2: Order of Operations
Try these: Evaluate the following expressions using order of operations.
3. __________ 4. __________
Section 3: Combining Like Terms
Try these: Simplify by combining like terms.
5. _______________
6. 3(x – 2) + 5(x + 3) _______________
Section 4: Fractions
A: Simplifying or Reducing Fractions
Try these: Simplify.
7. ______ 8. ________ 9. = ________
B: Adding or Subtracting Fractions
Try these: Add or subtract as indicated.
10. = _____ 11. _____ 12. _____
C: Multiplying Fractions
Try these: Multiply the fractions as indicated and simplify.
13. ________ 14. ________
D: Dividing Fractions
Try these: Divide the fractions as indicated and simplify.
15. _____ 16. = _____
Section 5: Solving Equations
Try these: Solve for x.
17. __________
18. __________
19. __________
20. Perimeter = 38 __________
Section 6: Inequalities
Try these: Solve and Graph
21. 22.
__________ __________
Section 7: Graphing
Try this:
23.
Example:
Try this: Complete the table of value for the given function and then graph.
24.
Try this: State the slope and y-intercept. Sketch the graph.
25.
Slope: __________
y-intercept: __________
Try this: Find the x and y intercepts then sketch the graph.
26.
x-intercept: __________
y-intercept: __________
Section 8: Writing Equations of Lines
Try this: Find the slope between the two given points.
27. (1, -5), (3, 7) _______________
Example:
Write the equation of the line:
Try this: Write the equation of a line with the given information.
28. ____________
Example:
Write the equation of the line given the point (-3, -7) and slope 2.
Try this: Write the equation of the line with the given information.
29. point (2, 3), m = -2 ____________
Example:
Write the equation of the line given the two points (1, 1) and (5, 9).
Try this: Write the equation of the line with the given information.
30. (-2, 1) and (-1, 5) __________
Example:
Write the equation of the line parallel to y = 3x + 2 passing through (-1, -2).
Try this: Write the equation of the line with the given information.
31. Parallel to y = -3x + 1 through (2, 1)
__________
Example:
Write the equation of the line perpendicular to y = -1/2 x + 6 through (1, 1).
Try this: Write the equation of the line with the given information.
32. Perpendicular to y = ¼ x – 5 through (1, 1)
__________
Try this: Write the equation of the vertical and horizontal line through the given point
and sketch their graphs.
33. Through (-1, 4)
Vertical: __________
Horizontal: __________
Section 9: Solving Systems of Equations
Solve the System by Graphing: Graph and find the point of intersection.
Try this: Solve the system by graphing.
34.
__________
Solve the system by Substitution.
Try this: Solve by substitution.
35. __________
Solve the system by Elimination.
Try this: Solve by elimination.
36. __________
Section 10: Multiplying Polynomials using FOIL
Try this: Multiply the binomials
37. (2x + 3)(x + 1) = __________
Try this: Multiply
38. __________
Section 11: Factoring
Try this: Factor
39. _______________
Try these: Factor
40. 41.
__________ ___________
Try these: Factor
42. __________ 43. __________
Try these: Factor
44. 45.
__________ __________
Section 12: Solving Quadratic Functions
Try this: Use the quadratic formula to find the solutions.
46. 2x - 4
__________
Section 13: Graphing Quadratic Functions without a Calculator
General Form of a Quadratic:
Try this: Find the information and sketch the quadratic equation.
47.
Section 14: Exponents
Try this:
48. Complete the table by raising each value of x to the given power. You will be
responsible for knowing the following values without a calculator.
Section 15: Absolute Value Equations
Example:
Try these: Solve the Absolute Value Equations
49.
__________
50.
__________