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Laabri

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

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40 Nsɛmmisa

Day 1 6/1/23

Main Idea: Solving Systems of Equations by Graphing

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

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Day 2 6/2/23

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Translations

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Translation with Vectors Due (2/28/23)

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Main Idea: Reflections

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Slope-Intercept Form

Slope (m)

y-intercept (b)

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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)

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2.
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3.

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

Finding Intercepts

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4.

Click on the y-intercept

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5.
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6.
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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)

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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

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9.

Directions: Solve each system by substitution.

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

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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

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11.

Solve each system of equations by elimination.

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12.

Solve each system of equations by elimination.

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13.
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14.
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15.

Main Idea: Translations

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16.
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17.

Match the description of a translation to its coordinate form

Draggable itemarrow_right_altCorresponding Item

to the left 5 units and up 6 units

arrow_right_alt

(x+2,y+3)

to the left 3 units and down 3 units

arrow_right_alt

(x-5,y+6)

to the left 2 units and up 8 units

arrow_right_alt

(x+1,y-7)

to the right 3 units and up 3 units

arrow_right_alt

(x+3,y-3)

to the right 3 units and down 3 units

arrow_right_alt

(x-3,y-3)

to the right 1 units and up 1 units

arrow_right_alt

(x+3,y+3)

to the right 2 units and up 3 units

arrow_right_alt

(x-2,y+8)

to the right 1 units and down 7 units

arrow_right_alt

(x+1,y+1)

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

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

Use your own words to describe the rule.

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19.

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

(x,y) →

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20.

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

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21.

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

(x,y) →

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22.
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23.

Translations with Vectors

Video

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24.

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

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25.

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

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26.
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27.

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

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28.

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

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29.

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

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30.

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

Reflections

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34.

Rotations

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35.

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

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36.
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37.

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

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38.
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39.

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

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40.