Equations
Solve the following for x:
3x - 14 = 22
x = 12
Solve the following inequality:
x + 8 > 14
x > 6
What are the two ways you can identify a triangle by?
Angles and Sides
How many points do you need to classify an angle?
3
What is the difference between supplementary and complementary angles?
Solve the following for x:
2x + 15 = 100
x = 85
Solve the following inequality for y:
y - 20 < 40
y < 60
Find the measurement of angle c in triangle ABC
m<C = 63 degrees
Find the following:
1. Measurement of <A
2. Value of X
3. Measurement of <D
1. m<A = 89 degrees
2. x = 44
3. m<D = 91 degrees
Define vertical angles (List the 2 most important characteristics)
1. Vertical angles are opposite from each other
2. Vertical angles are congruent (equal)
Solve the following for y:
y/4 = 25
y = 100
Solve the following inequality for x:
-x + 13 > 39
x < -26
Solve for x in triangle CDE
x = 8
Find the measurement of <ABD
m<ABD = 60 degrees
What are the three types of triangles identified by their sides? How many equal sides do each triangle have?
Equilateral Triangles = All 3 sides are congruent
Isosceles Triangles = 2 sides are congruent
Scalene Triangles = No sides are congruent
Solve the following for x:
x/3 - 12 = 18
x = 90
Write and solve an inequality that represents the following:
Negative three times a number plays four is no more than the number minus eight.
-3n + 4 <= n - 8
n >= 3
In triangle ABC, <A is 32 degrees. <B is double the size of <A. What is the measurement of <C?
m<C = 84 degrees
Find the following:
1. <DBE
2. <CBD
3. <ABE
1. <DBE = 90 degrees
2. <CBD = 90 degrees
3.<ABE = 90 degrees
What is the triangle theorem?
A theory that states "the sum of all three interior angles in a triangle must equal 180 degrees"
3/4x + 6 = 12
x = 8
Write and solve an inequality that represents the following:
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of summer. He withdraws $25 a week for his cell phone bill. How many weeks can Keith withdraw his money from his account?
500 - 25w >= 200
w = 12 weeks
In triangle ABC, <A is 2x + 13 degrees. <B is 78 degrees. What is the measurement of <C?
<C = 29.67 or 29.7 degrees
Find the following:
1. Value of x
2. m<ACD
3. m<DCB
1. x = 54
2. m<ACD = 144 degrees
3. m<DCB = 36 degrees
What is the difference between the following:
Acute, Obtuse, Straight, and Right angles?
Acute Angles: Less than 90 degrees
Obtuse Angles: More than 90 degrees
Straight Angles: 180 degrees
Right Angles: 90 degrees exactly