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1. Describe the transformation of the graph of 8 as it relates to the graph of . 2. Two lines that are parallel will have _______solutions. Monday, December 16 th Please complete the warm up . Algebra Graphic Organizer. Unit 1. Alg 1 CC Unit 1 Final Exam Review Numbers & Quantity. - PowerPoint PPT Presentation
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Monday, December 16th Please complete the warm up
1. Describe the transformation of the graph of 8 as it relates to the graph of . 2. Two lines that are parallel will have _______solutions
ALGEBRA GRAPHIC ORGANIZER
Unit 1
ALG 1 CC
UNIT 1 FINAL EXAM REVIEW
NUMBERS & QUANTITY
1) 3X² + 2X -3
1. Name coefficient(s)2. Name constant(s)3. How many terms?
2) SIMPLIFY
(3x + 2) + (-2x -4)
3) A RECTANGLE IS 5 FEET LONG BY 36 INCHES WIDE.
What is the area of the rectangle in feet?
4) SOLVE FOR P
L = 2P + 2W
5) PUT IN SLOPE INTERCEPT FORM
2x + y = 6
6) FIND 3 CONSECUTIVE
INTEGERS WHOSE SUM IS 189
7) EVERY DAY YOU WORK, YOU GET PAID $5 AN HOUR AND $10 FOR SUPPLIES. WRITE AN EQUATION FOR THE AMOUNT OF MONEY
YOU EARN IN A DAY.
8) THE MORE HOURS YOU STUDY, THE HIGHER YOUR SCORE WILL BE ON THE FINAL EXAM.
1. What is the dependent variable?
2. What is the independent variable?
9) YOU SELL 50 SHIRTS IN 5 HOURS. WHAT IS
THE UNIT RATE?
10) TRANSLATE INTO AN EXPRESSION
8 times the sum of a number and three
11) SOLVE
69=2 𝑥6
12) YOU ARE MAKING A PLATE OF COOKIES FOR A FRIEND. THE
TOTAL COST (C) FOR ONE PLATE AND X NUMBER OF COOKIES CAN
BE EXPRESSED AS C = 9 + 2X
HOW MUCH WILL IT COST TO MAKE A PLATE WITH TEN
COOKIES?
#13
Simplify:
#14
Solve for x.
#15
The perimeter of a rectangle is 32. The length is four more than the width. Find
the width.
UNIT 2 SYSTEMS
AND LINEAR FUNCTIONS
DO YOU KNOW YOUR VOCAB?
System of Linear
Equations
Solution of a system of linear
equations
Method 1 Graphing
SLOPE INTERCEPT FORM
Y = mx + b
Slope Y-INTERCEPT
PRACTICE FINDING SLOPE & Y-INTERCEPT
m=_____ b=______ m=_____b=_______
•
•
•
HORIZONTAL VS. VERTICAL LINE
HorizontalY=with no x y=5
Vertical X=with no y X=5
Method 2 Substitution
Solve the system by substitution
y = 3x
y = x – 2
Step 1 y = 3xy = x – 2
Both equations are solved for y.
Step 2 y = x – 23x = x – 2
Substitute 3x for y in the second equation.
Solve for x. Subtract x from both sides and then divide by 2.
Step 3 –x –x2x = –22x = –22 2x = –1
Example #1
Method 3 Elimination
3x – 4y = 10x + 4y = –2
Step 1 3x – 4y = 10 Write the system so that like terms are aligned.Add the equations to eliminate the y-terms.4x = 8 Simplify and solve for x.
x + 4y = –24x + 0 = 8Step 2
Divide both sides by 4.4x = 84 4x = 2
#1 TogetherSolve by elimination.3x – 4y = 10
x + 4y = –2
Word Problems
TYPES OF WORD PROBLEMS
Savings Account and how much you put in it each month
Cell phone starting cost and rate you pay each month
Gym membership and a rate you pay each year
Pages you read and how many pages you read each night
Down payment and your monthly payments
m=rate b=starting fee Y=mx+b
How many drawings did each person make
How many shirts and socks you can buy
How many tickets you can buy
How many books you can read
ALWAYS DEFINE YOUR VARIABLES FIRST X and y will be in your
question!
Slope InterceptEquation: Y=mx +
b
StandardEquation: Ax+By=C
SLOPE INTERCEPT WORD PROBLEM
Sam and Joe are collecting baseball cards. Sam already had 5 baseball cards and is given 4 new cards each year. Joe only started with 3 baseball cards but is given 6 new cards each month. After how many months will Same and Joe have the same amount? How many cards will they have at that time?
GRAPHINGINEQUALITIES
STEPS FOR GRAPHING INEQUALITIES1. Get in slope-intercept form2. Determine solid or dashed line3. Determine whether to shade
above or shade below the line 4. Graph the linear inequality.
EX. 3
3 7y x
AMOUNT OF SOLUTIONS
Same Line=Infinite Same slope and same y-intercept Y= 2x + 5 and y = 2x + 5
Parallel Lines=No Solutions Same slope and different y-interecept Y=2x +4 and y=2x + 5
Different lines=one solution Different slope Y=2x + 4 and y=7x + 1
Partner Review
#1You are selling tickets for a
basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450.
Write a system of linear equations that represents this situation
EXAMPLE 2
Which equation corresponds to the graph shown?A. y = x + 1B. y = 2x + 1C. y = x – 2D. y = -3x – 2
EXAMPLE 3Which graph would represent a system of linear equations that has no common coordinate pairs?
A B
C D
#4 WRITE AN INEQUALITY
#5 HOW MANY SOLUTIONS?
4x=2y-4 Y=2x – 8
#6
#7
#8
#9
How many solutions does a set of parallel lines have?a. No solutionsb. Infinite solutionsc. One solutiond. All of the above
#10