Emily's Linear Relation's Scribe Post

Textbook page 337 questions 1-5:

1. Tell whether you think it is reasonable to have points between the ones on each graph. Explain your answer.

I do not think it is reasonable to have points between the ones on each graph because it would confuse me with all of the information on the one graph.


2. Draw a graph of a linear relation. Use integer values only. Label your graph. Write a brief description that matches the information on your graph.



Each container of yogurt costs $2, so the value increases by 2 each time (y axis) you have another container of yogurt. (x axis)


3. Use an example to show one way that a graph and a table of values are different and one way that they are similar.



Similarity- Both the graph and the chart can show the same concept. (ex. each carton of milk costs $2.) You also have to label both a graph and a chart.

Difference- On a graph you have to label each axis (x,y) and show each point on a line on the graph. For a chart all you have to do is provide the data of each point and label the two sections x(____________ ) and y(____________.) (ex. x (cost of milk,) y (number of milk cartons.)


4. The graph shows the increase in total height for each step of a staircase.

a) Describe patterns you see on the graph.

- the graph provides data on the Total Height of Stairs. One step is 20cm high, two steps are 40cm high, three steps are 60cm high, and four steps are 80cm high.

-the points appear to lie in a straight line. The graph shows a linear relation.

-the graph shows that to move from one point to the next you have to move one unit horizontally and one unit vertically.

b) Make a table of values from the graph.


c) If the pattern continues, what is the total height on step 10?

If the pattern continues the total height of 10 steps would be 200cm.


5. The graph shows the maximum number of students allowed on a field trip based on the number of teachers available to supervise.
a) Describe three patterns on the graph.

- the graph provides data on the Field Trip Supervision.

-the points appear to lie in a straight line. The graph shows a linear relation.

- the graph shows that to move from one point to the next you have to move one unit horizontally and one unit vertically.

b) Make a table of values from the graph.

c) If there are eight teachers available for a field trip, what is the maximum number of students who can go?

If there are eight teachers available for a field trip the maximum amount of students that could go would be 48.


Here is a LINK that may help you with linear relations.

Marysa's Algebra Post

Chapter 1:

Solving "1 Step" Equations:

My Question will be x+9=14

Step one: Isolate the Variable

To do this you have to get rid of the constant using a zero pair.

EXAMPLE:

x+9-9=14

Step 2: Once you have done that you must do the same to the answer to keep them even.

EXAMPLE:

x=14-9

Step 3: Then you have to Verify or check your answer by plugging that number into the question.

EXAMPLE:

x=5

x+9=14

5+9=14

14=14

Now I will solve it using algebra tiles:

Let x equal green always

Let 1 be red always

Let -1 be white always

Solving "2 Step" Algebra Equations:

My question will be 3x+4=19

Step one: Isolate the Variable

To do this you have to get rid of the constant using a zero pair.

EXAMPLE:

3x+4-4=19

Step 2: Once you have done that you must do the same to the answer to keep them even.

EXAMPLE:

3x=19-4

Step 3: Simplify the Variable

EXAMPLE:

3x=15

3x/3=15/3

x=5

Step 4: Then you have to Verify or check your answer by plugging that number into the question.

EXAMPLE:

3x+4=19

3(5)+4=19

15+4=19

19=19

Now I will solve it using algebra tiles:

Let x equal green always

Let 1 be red always

Let -1 be white always

Emily's Algebra Post

Chapter 1:

Solving "one step" algebra equations:

Step 1: Isolate the variable

Step 2: Use a zero pair to cancel the constant

Step 3: Balance (do the same thing to both sides of the equation)

Step 4: Verify (check your answer)

Example:

n-7=6

n-7+7=6+7

n=13

n-7=6

13-7=6

6=6

Let green be n in all questions

Let red be 1 in all questions

Let white be -1 in all questions

Solving "two step" algebraic equations:

Step 1: Isolate the variable

Step 2: Use a zero pair to cancel the constant

Step 3: Balance (do the same thing to both sides of the equation)

Step 4: Simplify the variable

Step 5: Verify (check your answer)


Let green be n in all questions

Let red be 1 in all questions

Let white be -1 in all questions



Here are some links that may help you with solving algebraic equations:

One step algebraic equations

Two step algebraic equations

Here is a series of videos that may help you with solving algebraic equations:

Brandon's Algebra Post

Algebra: Writing mathematical phrases using letters to show

numbe

r.
Variable: A letter that represents a number in a equation or expression.
Constant: The integer in an algebraic equation or expression.
Expression: A pattern with many possible answer

s.
Equation

: With only one possible answer.

Steps:

1. Isolate the variable

2. Cancel using a zero pair

3. Balance

4. Verify

Using Algebra Tiles -

Steps to solve a "two step equation" :

1. Isolate the variable

2. Cancel the constant

3. Balance

4. Simplify the variable

5. Verify

Solving a Two step equation with algebra tiles:

X=2

Christian A's Algebra Post

What is Algebra?
Algebra is writing mathematical phrases using letters to show numbers.

Variable - A letter that represents a number in an algebraic equation and expression
Constant - The integers involved in a expression or equation
Expression - A pattern with more than one answer
Equation - A pattern with one possible answer

How to solve a "One Step" equation:

1. Isolate the variable
2. Make a zero pair with the constant
3. Balance the equation
4. Verify!



Algebra tiles:




How to solve a "Two Step" equation:

1. Isolate the variable
2. Cancel the constant
3. Balance
4. Simplify the variable
5. Verify




Algebra tiles:

Karl's Algebra Post

Algebra - Writing mathematical phrases using letters to show numbers

Variable - A letter that represents a number algebraic equation and expression

Constant - The integers in an equation and expression

Expression - A pattern with many answers

Equation - With only 1 possible answer



Steps to solve "one step equations" :

1. Isolate the variable

2. Make a zero pair with the constant

3. Balance the question

4. Verify




Using Algebra Tiles:





Steps to solve a "two step equation" :

1. Isolate the variable

2. Cancel the constant

3. Balance

4. Simplify the variable

5. Verify





Solving a Two step equation with algebra tiles:

Mark's Algebra Post

The steps on doing One Step Equations:

1)Solve by Inspection-

3+n=5

We now have to Isolate the variable

3+(-3)n=5-3

There is a rule you need to follow doing algebra and it is, what you

do on one side of the equation, you must do the same thing to the other side of the equation like the example shown above.

n=2

The last thing you do to solve this is to verify.

3+n=5

3+2=5

5=5

Using Algebra Tiles:

Now Two Step Equations:

1)Using Inspection

4x+1=17

4x+1-1=17-1

4x=16

4x/4=16/4

x=4

Now you MUST verify:

4x+1=17

4(4)+1=17

17=17

Algebra Tiles:

Olivia's Algebra post

Solving one step equations
ex. -4 + x = 26
because it's adition we are going to subtract always do the opposite.
-4 +x -4=26 -4 which equals 22
22 + 4 = 26
so x = 22

Solving 2 step equations

ex. -4x + 7 +15

first things first isolate the varible

-4x + 7 = 15
-7 -7 =8

-4x/ 4

8/4 = -2

one step

Two step

Kris' Algebra post

Solving one step equations

solve by inspection

15+b=23

Isolate the variable

15+(-15)b=23-15

We do 23-15 and that will give you B

n=8

Now varify your answer

15+b=23

15+8=23

23=23

^ MAKE SURE YOU DO THIS!

solving with algebra tiles.

1 Step equations

3) 15+b=23

15+8=23

23=23

15) V/8=2

V/8x8=2x8

V=16

V/8=2

16/8=2

2=2

2 Step equation

3) 9x-7=-7

9x-7+7=-7+7

9x=0

9x/9=0/9=0

0=0

9x-7=-7

9(0)-7=-7

-7=-7

Here is a link to help you with algebra.

Jomer's Algerbra Post

Algerbra: Writing mathematical phrases using letters to show number.
Variable: A letter that represents a number in a equation or expression.
Constant: The integer in an algebraic equation or expression.
Expression: A pattern with many possible answers.
Equation: With only one possible answer.

Steps:

1. Isolate the variable

2. Cancel using the opposite (zero pair)

3. Balance

4. Verify

Solving with algebra tiles


How to do two step equations:

1. Isolate the variable.

2. Cancel the constant.

3. Balance.

4. Simplify the variable.

5. Balance.

6. Verify