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May 25th

May 25th

Algebra 2 Summer Packet

SOLVING EQUATIONS

Solve the following linear equation s .

Solve each equation for the variable indicated.

27. solve for y

28. solve for L

29. solve for h

30. solve for y

Find ordered pairs that satisfy the linear equation

31. y = -3x + 1

32. Graph the line of the equation in #1 .

Solve the following equations for y in terms of x. (y = mx + b format)

33. -3x + y = -2

34. 5x + 2y = 1

35. 8y – 3x = -6

36. 3x + 2y – 6 = 0

Find the x- intercept and y -intercept of each linear equation.

37. -5x + 3y = 15

38. 3x + 2y = 6

39 Using the x and y intercepts graph the linear equation 3x + 2y = 6

Find the slope of the line given two points on the line.

40. (-3,1) and (-7,4)

41. (9,2) and (3,-1)

42. (2,5) and (9,1)

Graph the line of the equation.

Find the slope and the y-intercept of each linear equation.

45. 4x + 3y = 9

46. -7x – 4y = 16

47. 6x – y = 4

48. 12x = 2y + 1

Find the equation of the line given the slope and a point on the line.

Find the equation of a line given two points on the line.

51. (-1, 2) and (3, 4)

52. (2,5) and (4,2)

53.Describe the graph of the equation y = 7.

54. What is the slope of the line re presented by the equation x = 5 ?

55. What is the equation for the y-axis?

Solve the system of equations by elimination (aka “ Multiply ing- fractions /permutations-and-combinations.html">linear combination ”) method

57. Solve the system of equations by the substitution method.

Solve the following systems of equations (use any method).

Functions, Domain/Range, Input/Output

For each Function, complete the x/y table for the given domain values

62. For the function why is –1 not an element of the domain?

Polynomials – Rules of Arithmetic

Remove parentheses and collect like terms.

Subtract:

Change signs of second polynomial and collect like terms.

Multiply:

 Use Distributive Property FOIL

Divide:

Try it! Simplify according to the indicated operation :

Quadratic Expressions & Functions – Factoring and Solving

Factoring

Example 1: Use the abc method to factor (factors of a times c that add to b )

Example 2 [Perfect Trinomial Square]:

a.
b.

Example 3 [ Difference of Two Squares ]:

Example 4 [Advanced Factoring]: Use the abc method to factor (factors of a times c

Example 5 [Factoring Completely]:

Solve:

Solution :

divide both sides by 7.

take the square root of each side find both roots

Solve by factoring:

Solution:

factor

set each factor equal to zero then solve for x

Factor.

Factor Completely.