Monday, December 16 th Please complete the warm up

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