Equations with Angles Notes and Practice, Summaries of Computational Geometry

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of Angles

to Solve Equations

Using Properties

• Notes Page

• Practice

• Assessment

Possible Directions For Use:

1. Copy the Notes Page for each student. I have students cut out it out and glue it in their notebooks (after the notes are finished).
2. Use the answer key to guide you as you take students through the notes.
3. Once the notes page is completed, have students cut and paste it into their notebooks.
4. Pass out the worksheet as homework, in-class practice, or partner work.
5. The half-sheet exit slip can be used as a formative assessment, for homework, or as an entrance slip the next day. Helpful hint: I have a bulletin board, where I staple up all notes pages answer keys after a lesson. This is helpful for absent students. I also will use it as a reference throughout the unit.

For each problem, solve for the missing value. Show your work when solving the equation.

Multi-Step Equations - Practice Worksheet Name:

Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: (3x - 3)° 147° m ∠XYZ = 60°

X

Y

Z

W

27° (3x)° Solution: 9° Type of Angles: Key Information: Equation: (2x + 71)° 40° (-2x - 6)° (đx - 12)° 48° 39° (5x - 1)° Solution: Solution: Solution: Solution: Solution:

Using Angles to Solve Equations - Exit Slip Name:

Write an equation and solve for the missing value. Show your work. (2x - 3)° 47° (5y + 12)° 82° (4n - 5)° 115° 35° (5n)°

H

X m ∠XYZ = 110° Y Z

W

(3x +2)° 72°

Using Angles to Solve Equations - Exit Slip Name:

Write an equation and solve for the missing value. Show your work. (2x - 3)° 47° (5y + 12)° 82° (4n - 5)° 115° 35° (5n)°

H

X m ∠XYZ = 110° Y Z

W

(3x +2)° 72°

For each problem, solve for the missing value. Show your work when solving the equation.

Multi-Step Equations - Practice Worksheet Name:

Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: Type of Angles: Key Information: Equation: (3x - 3)° 147° m ∠XYZ = 60°

X

Y

Z

W

27° (3x)° adjacent sum is 60° 3x + 27 = 60 vertical angles are congruent 3x - 3 = 147 Solution: x = 50 9° Type of Angles: Key Information: Equation: (2x + 71)° complementary sum is 90° 2x + 71 + 9= 90 40° (-2x - 6)° vertical angles are congruent -2x - 6 = 40 (đx - 12)° 48° supplementary sum is 180° ½x - 12 + 48 = 180 complementary sum is 90° 5x - 1 + 39 = 90 39° (5x - 1)° Solution: x = 11 Solution: x = 288^ Solution: x = 10. Solution: x = 5^ Solution: x = -

KEY

Using Angles to Solve Equations - Exit Slip Name:

Write an equation and solve for the missing value. Show your work. (2x - 3)° 47° 2x - 3 + 47 = 90 2x + 44 = 90 x = 23 (5y + 12)° 82° 5y + 12 = 82 y = 14 (4n - 5)° 115° 4n - 5 + 115 = 180 n = 17. 35° (5n)°

H

5n + 35 = 90 n = 11 X m ∠XYZ = 110° Y Z

W

(3x +2)° 72° (^) 3x + 2 + 72 = 110 x = 12

KEY