Or x < 3
And graph
Solving an Absolute-Value Inequality
Write an inequality and solve:
Walter works as a waiter. He makes $75 per day
plus tips. The tip money must be split evenly with
each of four other waiters. How much tip money
needs to be earned in o
An Equation is like a scale,
that you have to keep perfectly balanced.
The Equal sign is the rod that holds the two sides.
=
The = must stay in-between the two parts
of the equation
Line up your equal
signs
8x - 2 = 14
+2 +2
8x = 16
88
x=2
Separate each s
Unit 1
Review
Total Distance
from home
Algebra
Show all work for partial credit.
Competency 1: Using/Interpreting Tables and
Graphs
1.
Draw a histogram for this data. Be sure it is
properly labeled.
Shoe Size
Time
Frequency
5 -6
2
7 -8
22
9-10
25
11-12
15
Algebra
Unit 1
Corrective
Show all work for partial credit.
Competency 1: Using/Interpreting Tables and
Graphs
Use the following Cumulative Frequency
Histogram to answer question 3.
1. Use the data in this table to draw a histogram.
College Freshmen Ages
To determine if a graph is a function, use the
vertical line test.
To determine if a table is a function,
remember that the definition of a function is
that one x is paired with only one y. (The xvalues cannot repeat!)
a.
X
Y
8
b.
X
Y
8
1
9
9
10
10
c.
X
Y
A function is a relationship between two
quantities, called the input and output.
It can not have two ordered pairs with the
same x-value.
x
x-value
y
y-value
Domain
Range
Input
Output
Independent
Dependent
There is a variety of ways to display functional
Mr. Peterson teaches seventh grade art. His students
all have a project to do. They must sculpt something.
Below is a chart that shows the object they each
chose to sculpt. Note the bar graph of the data.
8
7
6
5
4
3
2
1
0
Notice that each column is not
Algebra
Unit 6
Review Assignment
Show all work on a separate sheet of work paper for credit.
Competency 1: Evaluating & Solving
Radical Expressions & Equations
12. 5 32 + 3 8
For questions 1-3, evaluate the expression
and give the exact value, if possible
96
5 32 3 8
2 20 5 45
3 6 4 10
If the sides of a triangle measure
4 8inches ,2 2inches , and 18i nches
what is the perimeter?
2 2inches
4 8inches
18inches
Section 6: Distributive Practice
Solve and graph each inequality on
a number line.
8 5x >18
Section
80
21
252
2
27
3
1
52
4
13
25
14
121
2
5
4
6
18
27
24
8
144x y
18
6
256x y
20
4
Use this data (Number
of missing assignments)
to draw a box-andwhisker plot:
15,3,7,5,11,3,9,20,6,8
Which class would you be more
likely to be in if you have an
85?
21
49
56
123
Complex Number System
Real
Imaginary
All rational and irrational numbers.
Rational
Includes all whole, natural, negatives, and
terminating or repeating decimal numbers.
Example:
5/8
-2/3
Integer
Includes all whole, natural, and negative nu
Algebra
Unit 5
Review Assignment
Show all work for credit.
Competency 1: Solving Linear
Inequalities
Competency 3: Box-and-Whisker Plots
For 1-4, Solve and graph the inequality on a
number line.
1.
a)
- |x + 1| < -2
Find the quartiles.
12.
|x|-4<2
b)
11.
Each quartile is 25% of the data
Section 1:
Using the following data
3, 6, 14, 26, 6, 13, 11, 21, 8, 10, 17
Find the quartiles.
Draw a box-and-whisker plot.
Section 1:
Calculator Notes!
STATEDITEnter data in L1
2ndSTAT PLOT (Y=)ENTERENTER (ON)
Choose 5th
Solving Absolute Value Equations
Note: There are two answers.
x 2 7
8 p 2
Each problem has two answers.
12 h 7 37
You will have two answers.
x 10 17 5
Note: It is not possible for an absolute value to equal
a negative number.
Section 3: Distributive Pract
1st) Use the distributive property
to eliminate all parentheses.
2nd) Add like terms on each side
of the equal sign.
3rd) Get the variable on ONE side
and constants (numbers) on the
other. Remember to do the
opposite operation.
4th) Get the variable by it
1st) Use the distributive property
to eliminate all parentheses.
2nd) Add like terms on each side
of the equal sign.
3rd) Get the variable on ONE side
and constants (numbers) on the
other. Remember to do the
opposite operation.
4th) Get the variable by it
Algebra
Unit 4
Review
Show all work for partial credit.
Competency 1: Equations of Lines #1
1.
Write an equation of the line shown in the
graph below:
y
Write an equation of the line that passes
through (7,-3) and (-1,-1).
Competency 3: Equations of Lines
Write an equation of this line
in standard form.
ax +by = c
1st) Get rid of any
fractions by multiplying
EVERYTHING by the
denominator.
2nd) Move the x term
so it is on the same
side as the y.
3rd) If the x term is
negative, multiply
EVERYTHING by -1.
3
Write an equation of the line (y = mx + b) shown in the graph below:
y=
x+
y
5
4
3
2
1
-5 4 -3 2 -1
-1
2
-3
4
-5
1
2
3
4
5
x
Write an equation of the line (y = mx + b) shown in the graph below:
y=
x+
y
x
2
Find the equation of the line whose slope is
and
Algebra
Unit 3
Review Assignment
Show all work for partial credit.
9.
Find the x and y intercepts of the equation
3x 2y = 12. Find the intercepts
algebraically and show your work on your
work paper.
10.
Competency 1: Slopes
Find the x and y intercepts of
X
Y
0
2
1
5
2
8
y2 y1
slope
x2 x1
Vocabulary:
An x-intercept is the x-coordinate of a
point where a graph crosses the xaxis. The y-coordinate of this point is
0.
A y-intercept is the y-coordinate of a
point where a graph crosses the yaxis. The x-coordina
Graphing an Equation: Slope-intercept Form
y = mx + b
m = slope
b = y-intercept
Graph: y = 3x+2
Graph using m and b:
y = -5/4x + 5
Graphing an Equation: Standard Form
ax +by = c
a, b, and c are integers and a is positive.
Solve for y, then use m and b.
-8
WARM UP
Simplify.
1.
2.
3.
4.
13 8 2
8+44
6x + 9 5 + 3x
17y + 2 20y 4
5. 5y + 9 2x 7
Course 3
When a variable expression has ( ) and
we cannot combine what is inside them,
we will need to distribute any
multiplication attached outside. We will
use the dis
Unit 2
Comp 5
The circle graph below shows the results of
a survey in which students were asked if
they ate breakfast.
No
20%
Yes
80%
Of those surveyed, 59 said no.
About how many students were surveyed?
The formula for the volume of a figure such this box is:
V lwh
Now solve the formula for h.
The formula for converting temperature from
Fahrenheit to Celsius is:
5
C ( F 32)
9
Solve the formula for F.
The formula for the area of a triangle is:
Solve the f
Unit 2 Comp. 3
Equations and
Problem Solving
Section 2
Use the graph to check the answers to the problem below.
If you know the graph is accurate, is the algebraic solution
correct? Briefly explain.
Section 2
Use the graph to check the answers to the prob
You can plug in zero for x and look only at the ys. That is the side you
would shade.
1
y x3
2
5x + 3y > 9
x > -8
y < 4
Writing Equations of Parallel and Perpendicular Lines:
Find the equation of the line that is
parallel to the graph of y =-5x +12,
and w