Semester 2 Final Study Guide (Due 6/5/23)

Day 1 6/1/23

Main Idea: Solving Systems of Equations by Graphing

Slope-Intercept Form


Slope (m)
y-intercept (b)

Required

20

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Required

9

The slope of a line is the ratio of __________ over __________.  Another name for slope is __________.

Required

5

Write the equation in slope intercept form with the given information:

Finding Intercepts

Required

3

Click on the y-intercept

Required

5

What are the x and y-intercepts for this function? Use desmos to help you identify them.
(Do not use spaces when you enter the coordinates)
5x+2y=14
\/\/\/\/\/\/\/\/\/\/\/
x-intercept
_______ 
y-intercept
_______ 

5

What are the x and y-intercepts of this function? (Do not use spaces when you enter the coordinates)

x-intercept
_______ 
y-intercept
_______ 

Required

20

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Required

20

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Main Idea: Solving Systems of Equations by Substitution

Required

10

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Required

20

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Main Idea: Solving Systems of Equations by Elimination

Required

20

Solve each system of equations by elimination.

Required

20

Solve each system of equations by elimination.

Main Idea: Solving Systems of Equations Based on Real-World Situations

Required

20

Solve each word problem using substitution or elimination.

1st Number _______ 
2nd Number _______  

Required

20

Solve each word problem using substitution or elimination.

# of T/F questions_______ 
# of Multiple Choice Questions _______  

Required

20

Solve each word problem using substitution or elimination.


Cost of Solid Rolls of Wrapping Paper  _______ 
Cost of Printed Rolls of Wrapping Paper _______  

Day 2 6/2/23

Main Idea: Translations

Required

9

What are the three types of rigid motion?

"Spin"_______ 
"Slide"_______ 
"Flip"_______ 

Required

16

Draggable item		Corresponding Item

Required

5

What does the following rule describe? (x, y) → (x-2, y+5)

Use your own words to describe the rule.

5

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

2

Which of the following shows the rule in coordinate notation for the translation above?

Required

5

Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)

(x,y) →

Translations

Required

20

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

C'_______ 
D'_______ 
E'_______ 
Protip: Transform the points first then graph them.

Required

20

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

W'_______ 
X'_______ 
Y'_______ 
Z'_______ 
Protip: Transform the points first then graph them.

Translation with Vectors Due (2/28/23)

Translations with Vectors

Video

Required

5

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Required

5

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Required

15

△ABC has coordinates of A(0,4), B(-3,4), and C(-3, -1).  What are the new coordinates of △ABC when the figure is moved 3 units left and 1 unit up?
A'_______ 
B'_______ 
C'_______ 

Main Idea: Reflections

Required

2

Which graph show the x-axis as the line of reflection?

Required

2

Which graph show the y-axis as the line of reflection?

Required

2

Which graph show the y=x as the line of reflection?

Required

2

Which graph shows the line, y= - x as the line of reflection?

Reflections

Required

20

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
Protip: Transform the points first then graph them.

W'_______ 
X'_______ 
Y'_______ 
Z'_______ 

Required

20

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

B'_______ 
C'_______ 
D'_______ 
E'_______ 

Required

20

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces
Protip: Transform the points first then graph them.

F'_______ 
G'_______ 
H'_______  

Required

20

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

M'_______ 
N'_______ 
O'_______ 
P'_______ 

Rotations

Required

5

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Required

20

Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

S'_______ 
T'_______ 
U'_______ 
V'_______ 

Required

5

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Required

20

Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

A'_______ 
B'_______ 
C'_______ 
D'_______ 

Required

5

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Required

20

Graph and label each figure and its image under the given rotation.
Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

F'_______ 
G'_______ 
H'_______ 
 

Draggable item		Corresponding Item
to the right 1 units and down 7 units		(x+2,y+3)
to the left 5 units and up 6 units		(x-5,y+6)
to the right 3 units and up 3 units		(x+1,y-7)
to the right 3 units and down 3 units		(x+3,y-3)
to the left 3 units and down 3 units		(x-3,y-3)
to the left 2 units and up 8 units		(x+3,y+3)
to the right 1 units and up 1 units		(x-2,y+8)
to the right 2 units and up 3 units		(x+1,y+1)

Semester 2 Final Study Guide (Due 6/5/23)

Day 1 6/1/23

Main Idea: Solving Systems of Equations by Graphing

Slope-Intercept Form

Slope (m)

y-intercept (b)

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Write the equation in slope intercept form with the given information:

Finding Intercepts

Click on the y-intercept

5x+2y=14

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Main Idea: Solving Systems of Equations by Substitution

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Main Idea: Solving Systems of Equations by Elimination

Solve each system of equations by elimination.

Solve each system of equations by elimination.

Main Idea: Solving Systems of Equations Based on Real-World Situations

Day 2 6/2/23

Main Idea: Translations

What does the following rule describe? (x, y) → (x-2, y+5)Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.(x,y) →

Which of the following shows the rule in coordinate notation for the translation above?

Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)(x,y) →

Translations

Translation with Vectors Due (2/28/23)

Translations with Vectors

Video

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Main Idea: Reflections

Which graph show the x-axis as the line of reflection?

Which graph show the y-axis as the line of reflection?

Which graph show the y=x as the line of reflection?

Which graph shows the line, y= - x as the line of reflection?

Reflections

Rotations

Give each rule for counterclockwise rotations about the origin:90⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:180⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:270⁰ rotation counter clockwise (x, y) →________

Day 1 6/1/23

Main Idea: Solving Systems of Equations by Graphing

Slope-Intercept Form

Slope (m)

y-intercept (b)

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Write the equation in slope intercept form with the given information:

Finding Intercepts

Click on the y-intercept

5x+2y=14

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.Type the solution in coordinate form - (x,y)(Do not use spaces when you enter the coordinates)

Main Idea: Solving Systems of Equations by Substitution

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Main Idea: Solving Systems of Equations by Elimination

Solve each system of equations by elimination.

Solve each system of equations by elimination.

Main Idea: Solving Systems of Equations Based on Real-World Situations

Day 2 6/2/23

Main Idea: Translations

Match the description of a translation to its coordinate form

What does the following rule describe? (x, y) → (x-2, y+5)Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.(x,y) →

Which of the following shows the rule in coordinate notation for the translation above?

Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)(x,y) →

Translations

Translation with Vectors Due (2/28/23)

Translations with Vectors

Video

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Main Idea: Reflections

Which graph show the x-axis as the line of reflection?

Which graph show the y-axis as the line of reflection?

Which graph show the y=x as the line of reflection?

Which graph shows the line, y= - x as the line of reflection?

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

What does the following rule describe? (x, y) → (x-2, y+5)

Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)

(x,y) →

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

What does the following rule describe? (x, y) → (x-2, y+5)

Use your own words to describe the rule.

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)

(x,y) →

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________