{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

1

categorize what you do and don't remember

solving systems of 2 equations with 2 variables by graphing
solving systems of 3 equations with 3 variables by graphing
solving systems of 2 equations with 2 variables by substitution
solving systems of 3 equations with 3 variables by substitution
solving systems of 2 equations with 2 variables by elimination
solving systems of 3 equations with 3 variables by elimination
solving systems of 3 equations with 3 variables by matrices

I remember
its fuzzy, but there. sortof
no memory of this

1

This is mostly review, but I suggest seeking out info from yaymath.com or youtube looking for "systems of linear equations" in 2d and 3d. https://www.youtube.com/watch?v=XQ7aNAxZ0s0 is one, https://www.youtube.com/watch?v=tnFeym_JXKw is another.
do you have any questions?

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If you remember dealing with systems of linear equations with two variables in 2d, there were three different solution sets you might have - 1, infinite and none.

lines are parallel, not co-linear
The slopes of the line and the y-intercept are the same,
lines intersect
lines are co-linear
The slopes of the lines are the same, but the y-intercepts are different
The slope of one is the opposite reciprocal of the other
The slopes are different

Consistent independent - 1 solution
Consistent dependent - infinite solutions
inconsistent - no solution

1

The difference between systems of linear equations with two variables in 2d and systems of linear equations with three variables in 3d is what?

There is no difference

The intersection of lines instead of intersections of planes

One has a solution set, and other does not

The lines may have different slopes, but be skew to each other

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What do you think the solution set for the following set of 3 linear equations would be?

1

What do you think the solution set for the following set of linear equations would be?

10

Vocabulary Review: Select the correct word(s) to complete the sentence.
The partial solution of the system of equations at the left uses ?.

equivalent systems

elimination

substitution

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null

1

why did you choose that option?

1

why did you choose that option?

1

Why did you choose that option?

1

If you have played at all with geogebra, you can go to this website here that walks you through solving systems of equations. remember the procedure for solving a system of three is
1) take two equations, eliminate one variable (pick one that will be easy).
2) take the third equation and use elimination technique with one of the other two to eliminate the same variable.
3)This should leave you with two equations and two unknowns, which you can solve.
does the geogebra simulation help you visualize what 3d systems look like?

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The other review stuff i would like you to start in on is for matrices: which of the following do you remember, need to brush up on, can't remember for the life of you. Oh, and it is possible that I am asking about stuff you may not have seen before, because different alg 2 classes are different.

what is a matrix
scalar multiplication of a matrix
addition of matrix
how to size a matrix
what is an identity matrix
what is an inverse matrix
dot product of matrices
Kramers rule
how to find the determinant
how to use the determinant

I remember this
vaugely recall
nope, no memory of this

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which of the following is a 4x7 matrix?

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just a quick tutorial on how to input a matrix into formative:
if you write the following into the math editor, m=\begin{bmatrix}3&2\\1&5\end{bmatrix} you will get this
a couple notes: there are no spaces, just write it all out like that. you can have as many rows or columns as you wish, but be careful, formative doesn't like letting you fix things when you write them out this way. separate cells in a row with an & and separate rows with \\. you need to say {bmatrix}, not just matrix, that gives you the brackets. pmatrix gives you parentheses, and vmatrix gives you this:
which is the notation for the determinant of a matrix.
for this question, try to input a 3x2 matrix with a column of 4s and a column of 7s

1

Lets practice: remember the rule - to add matrices, they have to be the same size. add
if you don't remember how, this video might help. https://www.youtube.com/watch?v=HKnTgMlWs30

1

Do you notice any similarities between adding vectors and adding matrices?

1

scalar multiplication is very similar for vectors as it is for matrices, explain how they are similar, and how they are different?

1

The dot product of vectors is very similar to the dot product of matrices too. Find the dot product of \vec{r}\cdot\vec{v} if \vec{r}=<3,2> and \vec{v}=<6,8>

1

how would you find the dot product of
if
if you can't remember how to take the dot product of two matrices, this might help: https://www.youtube.com/watch?v=g7XP1Y_cnCc

1

S3w5 ALG 2 review: Simultaneous equations and intro to matrices

S3w5 ALG 2 review: Simultaneous equations and intro to matrices

categorize what you do and don't remember

This is mostly review, but I suggest seeking out info from yaymath.com or youtube looking for "systems of linear equations" in 2d and 3d. https://www.youtube.com/watch?v=XQ7aNAxZ0s0 is one, https://www.youtube.com/watch?v=tnFeym_JXKw is another. do you have any questions?

If you remember dealing with systems of linear equations with two variables in 2d, there were three different solution sets you might have - 1, infinite and none.

The difference between systems of linear equations with two variables in 2d and systems of linear equations with three variables in 3d is what?

What do you think the solution set for the following set of 3 linear equations would be?

What do you think the solution set for the following set of linear equations would be?

Vocabulary Review: Select the correct word(s) to complete the sentence. The partial solution of the system of equations at the left uses __?__.

why did you choose that option?

why did you choose that option?

Why did you choose that option?

The other review stuff i would like you to start in on is for matrices: which of the following do you remember, need to brush up on, can't remember for the life of you. Oh, and it is possible that I am asking about stuff you may not have seen before, because different alg 2 classes are different.

which of the following is a 4x7 matrix?

Lets practice: remember the rule - to add matrices, they have to be the same size. add if you don't remember how, this video might help. https://www.youtube.com/watch?v=HKnTgMlWs30

Do you notice any similarities between adding vectors and adding matrices?

scalar multiplication is very similar for vectors as it is for matrices, explain how they are similar, and how they are different?

The dot product of vectors is very similar to the dot product of matrices too. Find the dot product of \vec{r}\cdot\vec{v} if \vec{r}=<3,2> and \vec{v}=<6,8>

how would you find the dot product of if if you can't remember how to take the dot product of two matrices, this might help: https://www.youtube.com/watch?v=g7XP1Y_cnCc

Consider the last two questions: how are the similar, how are they different?

categorize what you do and don't remember

This is mostly review, but I suggest seeking out info from yaymath.com or youtube looking for "systems of linear equations" in 2d and 3d. https://www.youtube.com/watch?v=XQ7aNAxZ0s0 is one, https://www.youtube.com/watch?v=tnFeym_JXKw is another. do you have any questions?

If you remember dealing with systems of linear equations with two variables in 2d, there were three different solution sets you might have - 1, infinite and none.

The difference between systems of linear equations with two variables in 2d and systems of linear equations with three variables in 3d is what?

What do you think the solution set for the following set of 3 linear equations would be?

What do you think the solution set for the following set of linear equations would be?

Vocabulary Review: Select the correct word(s) to complete the sentence. The partial solution of the system of equations at the left uses __?__.

This partial solution of this system of two equations is a

The original question asked for the solution for the following system of equations: What is your next step?

For the following problems, choose the solving method that you think is most appropriate. There may be more than one method that works. You do NOT need to solve the problem.y = 2x + 1y = 6 - 3x

why did you choose that option?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.x + 3y = 72x + 3y = 11

why did you choose that option?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

Why did you choose that option?

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

Why did you choose that option?

The other review stuff i would like you to start in on is for matrices: which of the following do you remember, need to brush up on, can't remember for the life of you. Oh, and it is possible that I am asking about stuff you may not have seen before, because different alg 2 classes are different.

which of the following is a 4x7 matrix?

Lets practice: remember the rule - to add matrices, they have to be the same size. add if you don't remember how, this video might help. https://www.youtube.com/watch?v=HKnTgMlWs30

Do you notice any similarities between adding vectors and adding matrices?

scalar multiplication is very similar for vectors as it is for matrices, explain how they are similar, and how they are different?

The dot product of vectors is very similar to the dot product of matrices too. Find the dot product of \vec{r}\cdot\vec{v} if \vec{r}=<3,2> and \vec{v}=<6,8>

how would you find the dot product of if if you can't remember how to take the dot product of two matrices, this might help: https://www.youtube.com/watch?v=g7XP1Y_cnCc

Consider the last two questions: how are the similar, how are they different?

This partial solution of this system of two equations is a

The original question asked for the solution for the following system of equations: What is your next step?

For the following problems, choose the solving method that you think is most appropriate. There may be more than one method that works. You do NOT need to solve the problem.y = 2x + 1y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.x + 3y = 72x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.3x - 2y = -72x + 5y = 8

Why did you choose that option?

This is mostly review, but I suggest seeking out info from yaymath.com or youtube looking for "systems of linear equations" in 2d and 3d. https://www.youtube.com/watch?v=XQ7aNAxZ0s0 is one, https://www.youtube.com/watch?v=tnFeym_JXKw is another.
do you have any questions?

Vocabulary Review: Select the correct word(s) to complete the sentence.
The partial solution of the system of equations at the left uses ?.

Lets practice: remember the rule - to add matrices, they have to be the same size. add
if you don't remember how, this video might help. https://www.youtube.com/watch?v=HKnTgMlWs30

how would you find the dot product of
if
if you can't remember how to take the dot product of two matrices, this might help: https://www.youtube.com/watch?v=g7XP1Y_cnCc

This is mostly review, but I suggest seeking out info from yaymath.com or youtube looking for "systems of linear equations" in 2d and 3d. https://www.youtube.com/watch?v=XQ7aNAxZ0s0 is one, https://www.youtube.com/watch?v=tnFeym_JXKw is another.
do you have any questions?

Vocabulary Review: Select the correct word(s) to complete the sentence.
The partial solution of the system of equations at the left uses ?.

The original question asked for the solution for the following system of equations:
What is your next step?

For the following problems, choose the solving method that you think is most appropriate. There may be more than one method that works. You do NOT need to solve the problem.
y = 2x + 1
y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
x + 3y = 7
2x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

Lets practice: remember the rule - to add matrices, they have to be the same size. add
if you don't remember how, this video might help. https://www.youtube.com/watch?v=HKnTgMlWs30

how would you find the dot product of
if
if you can't remember how to take the dot product of two matrices, this might help: https://www.youtube.com/watch?v=g7XP1Y_cnCc

The original question asked for the solution for the following system of equations:
What is your next step?

For the following problems, choose the solving method that you think is most appropriate. There may be more than one method that works. You do NOT need to solve the problem.
y = 2x + 1
y = 6 - 3x

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
x + 3y = 7
2x + 3y = 11

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8

For the following problems, choose the solving method that you think is most appropriate and state the reasons why you made that choice.There may be more than one method that works. You do NOT need to solve the problem.
3x - 2y = -7
2x + 5y = 8