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
Add: 
Remove parentheses and collect like terms.
Subtract: 
Change signs of second polynomial and collect like terms.
Multiply:
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
that add to b)

Example 5 [Factoring Completely]:

Solving Quadratic Equations and Functions
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.

Solve the following Quadratics
