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

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Last updated about 2 hours ago
40 questions
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20
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9
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5
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3
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5
5
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20
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20
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10
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20
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20
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9
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16
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5
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2
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5
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20
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20
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5
Required
5
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15
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2
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2
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2
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2
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20
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20
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20
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20
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5
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20
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5
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20
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20

Day 1 6/1/23

Main Idea: Solving Systems of Equations by Graphing

Slope-Intercept Form



Slope (m)

y-intercept (b)

Question 1
1.

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)

Question 2
2.
The slope of a line is the ratio of __________ over __________. Another name for slope is __________.
Question 3
3.

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

Finding Intercepts

Question 4
4.

Click on the y-intercept

Question 5
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
_______
Question 6
6.
What are the x and y-intercepts of this function? (Do not use spaces when you enter the coordinates)

x-intercept
_______
y-intercept
_______
Question 7
7.

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)

Question 8
8.

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



Question 9
9.

Directions: Solve each system by substitution.

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

Question 10
10.

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



Question 11
11.

Solve each system of equations by elimination.

Question 12
12.

Solve each system of equations by elimination.

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


Question 13
13.
Solve each word problem using substitution or elimination.

1st Number _______
2nd Number _______
Question 14
14.
Solve each word problem using substitution or elimination.

# of T/F questions_______
# of Multiple Choice Questions _______
Question 15
15.
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


Question 16
16.
What are the three types of rigid motion?

"Spin"_______
"Slide"_______
"Flip"_______
Question 17
17.

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Question 18
18.

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

Use your own words to describe the rule.

Question 19
19.

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

(x,y) →

Question 20
20.


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

Question 21
21.


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

(x,y) →

Translations

Question 22
22.
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.


Question 23
23.
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

Question 24
24.

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

Question 25
25.

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

Question 26
26.
△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

Question 27
27.

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

Question 28
28.

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

Question 29
29.

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

Question 30
30.

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

Reflections


Question 31
31.
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'_______


Question 32
32.
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'_______


Question 33
33.
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'_______


Question 34
34.
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



Question 35
35.

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Question 36
36.
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'_______
Question 37
37.

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Question 38
38.
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'_______
Question 39
39.

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Question 40
40.
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'_______
Match the description of a translation to its coordinate form
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)
(x,y) → (x+2, y-2)