Algebra Honors
Name_
Review for Mid Term Exam
Date_
Operations with Sets and Set Notation
Let A = cfw_ 2, 4, 6, 8, 10 B = cfw_ 3, 4, 5, 6, 7 and C = cfw_ 6, 7, 8, 9, 10
Identify the following sets
1.
AUB
_
2.
A (B U C)
_
3.
B C
_
Indicate if the follow
Algebra 1 - Honors
Name _
Composite and Inverse Functions
Review
Date _
Given the following functions, find each value.
f(x) = 2x 6
h(x) = x2 3
g(x) = -3x + 1
Show all steps used to find your answer. An answer only is worthless.
1.
f(2)
2.
g( - 4)
3.
h(-
Algebra 1 Honors
Name _
Multiple Representations of Functions
Date _
Functions can be represented in multiple ways; table of values, list of ordered pairs,
mapping, graph, or equation. In each case these representations yield an OUTPUT for
a given INPU
Algebra 1 - Honors
Review of Sets
Name_
Date_
Operations with Sets and Set Notation
Let A = cfw_ 2, 4, 6, 8, 10 B = cfw_ 3, 4, 5, 6, 7 and C = cfw_ 6, 7, 8, 9, 10
Identify the following sets
1.
AUB
_
2.
A (B U C)
_
3.
B C
_
Indicate if the following st
Algebra 1 Honors
Class Notes
Terminology for Linear Equations
Define the following:
linear equation
x-intercept
y-intercept
slope
parallel lines
perpendicular lines
undefined slope
zero slope
point slope form
slope intercept form (analytical form)
standar
Algebra 1 - Honors
Name _
Applications of Equations
Date _
WHAT DO YOU KNOW?
Write an algebraic equation and solve. Do NOT just guess and check. I am looking
for a systematic method of solving these equations. An answer alone is worthless.
1.
Find four co
Algebra Honors
Name _
Variation Class Notes
Date _
k is the constant of variation
Direct Variation:
y varies directly as x
or
y is directly proportional to x
or
y is inversely proportional to x
y = kx
Inverse Variation:
y varies inversely as x
y=k
x
Joint
Algebra 1 CP
Name _
More Literal Equations
Date _
Solve each equation for the given variable:
1.
# + =
Solve for
2.
3x + y = 15
Solve for y
3.
2x + 5y = 3(x + 2) 5
Solve for x
4.
3(y 2) + 2y = x + y + 3
Solve for x
5.
1
/2( 2x + 3) = 4y 6
Solve for y
6.
Algebra 1 CP
Name _
Qualitative Graphs
Date _
1.
Choose the best graph to fit each of the situations described below. Be able to defend
your selection.
_ a. I really enjoy cold milk or hot milk, but I loathe lukewarm milk.
_ b. Prices are now rising more
Algebra I CP
Name _
Solving Equations with Fractions
Date _
Solve each equation. Show all work for full credit.
Example:
Step 1: Clear the fraction by multiplying each side by the denominator
(reduce before multiplying)
x +6
=5
2
Step 2: Solve the one ste
Algebra I -CP
Name_
Date _
12 Properties of Real Numbers
1.
a+b=b+a
Commutative Property of Multiplication
For any numbers a and b,
a b=ba
Associative Property of Addition
For any numbers a, b, and c,
(a + b) + c = a + (b +c)
Associative Property of Multi
Algebra 1 CP
Name _
Chapter 1 Exam Review
Date _
1.
Fill in the Venn diagram with the appropriate set of numbers and give examples
of the different types of numbers in each set. Choose from the following:
Real
2.
Rational
Whole
Counting (Natural)
Integers
Algebra 1 CP
Class Notes
Combining Like Terms
Name _
Date _
Like Terms terms with the same variables, with the same exponents.
a. Identify the like terms in each of the following expressions
b. Rewrite the expression using the commutative and associative
Algebra I CP
Name _
Clearing Fractions
Date _
Clear the fractions in each equation by first multiplying both sides by the common
denominator.
Example:
1
/2 x + 3 = 5/3 x 1
6(1/2 x + 3) = (5/3 x 1)6
3x + 18 = 10x 6
- 3x
- 3x
18 = 7x 6
+6
+6
24 = 7x
The com
Algebra 1 CP
Class Notes
Solving by Combining Like Terms and VOBS
Name _
Date _
COMBINING LIKE TERMS
Solve each equation. Be sure to combine like terms on each side of the equation
before isolating the variable. Leave all solutions in fractional form.
1.
Algebra 1 CP
Name _
Definition of Functions Dependent and Independent Variables
Date _
In each example, fill in each of the columns. I have done the first one for you.
Problem
1. Profit (p) made on the sale of
an item and the price (r) the
item sold at.
2
Algebra 1 - CP
Name _
Graphing Sets of Numbers
Date _
Complete the missing information for each of the following sets of numbers
1.
Verbal: Integers less than 3
Set Builder Notation:
Roster/Interval Notation:
Graph:
2.
Verbal: All real numbers except 5
Se
ALGEBRAIf NAME I.
MEPEMEM and DEPENDENT VARIABLES DATE
Describe the relationship between the following: (Does one activity affect the second action?)
Identify the INDEPENDENT ACTION and the DEPENDENI ACTION. If one action dew not dependent: _
ano
Algebra 1 CP
Name _
Relations & Functions
Date _
Relation
Expressed by Tables:
Expressed by Ordered Pairs:
Expressed by Mappings:
Expressed by Graphs:
Continuous Discrete -
Domain
Range Independent Variable
Dependent Variable
Definition of Function
Eac
Name
2 -6
Class
Date
Ratios, Rates, and Conversions
A unit rate is a rate with denominator 1. For example,
12 in.
is a unit rate. Unit rates
1 ft
can be used to compare quantities and convert units.
Which is greater, 74 inches or 6 feet?
It is helpful to
NAME 7 DATE
W7- .3'3 Refeaching Worksheet
Cramers Rule
A determinant is a square arrangement of numbers or variables
enclosed between vertical lines.
To nd the value of the determinant use the following:
a b
C d =ad-bc
Find the value of ea
Algebra Honors
Name_
Graphing Systems of Equations
Date_
3 s2m0j1t3a vKYu2tga3 8SIoRf9tXwAajryeZ lLHLfCt.3 c BAAlplt Br7iJgYhBtXsi Mr7e6sXezrTvpeMdV.H
Solve each system by graphing.
1) 3 x + 27 = 9 y
8 x = 18 + 3 y
2) 9 y = 4 x + 18
0 = 9 y 63 5 x
y
y
10
Algebra - Honors
Name _
Graphing Systems Activity
Date _
Put any linear equations in slope-intercept form and graph. Show a table of values for
the other equations and sketch each system. Describe the type of equation (linear,
parabola, circle, etc) Ident
Algebra Honors
Applications of Systems of Equations
Name_
Date_
Write a system of equations for each problem and solve.
1.
Three times one number equals twice a second number. Twice the first number
is 3 more than the second number find the numbers.
2.
Fi
Algebra Honors
Name _
More Graphing Systems of Inequalities
Date _
Graph the following systems of inequalities and identify the solution area on the graph.
1.
x + 3y > 6
2x y < 3
3.
y<4
y > 2x + 6
y > -x 3
or
2 < y < 5 and
-1<x<y
4.
and
2.
| x | < 3 and
x