Algebra I Review and Unit 6: Reasoning
Unit 6: Distance and PT Theorem
Unit 7: Parallel and Perpendicular Lines
Unit 8: Rigid Transformations
100
Use the Law of Detachment to determine the logic conclusion of the claims below:
If a student studies, then they pass the quiz. The student did not study.
The student will not pass their quiz.
100
What is the length of segment SU?
10 units
100
With the parallela and transversal lines shown, which angles are congruent with angle 2?
Angles 3, 6, and 7
100
Determine the translation rule for the two triangles shown below:
T(x+3, y-2)
200
Use the Law of Syllogism to determine the logic conclusion of the claims below:
If it is snowing, then school will be canceled. If school is canceled, then I won't have to wake up with my alarm. It is snowing.
I won't have to wake up with my alarm.
200
The value of x in the angles below:
x=31
200
The value of angle ATM in the triangle below:
71 degrees
200
Assume the coordinate points on a triangle are at (-1, 1), (2,4), and (4,2).
Reflect this triangles over the x-axis
(-1, -1), (2, -4), and (4, -2)
300
Solve for the variable x:
5x - 4(2x - 3) = 18
x=-2
300
Find the distance between the two points shown. Round your answer to the nearest hundreth:
Approx. 2.24 units
300
Write an equation in slope-intercept form that passes through the point (6,-2) but is parallel to the line below:
y=2/3x+4
y=2/3x-6
300
Assume the coordinate points on a triangle are at (-1,-4), (-1,-2), and (-5,-2).
Rotate the triangle 180 degrees
(1,4), (1,2) and (5,2)
400
A school club charges $12 per ticket and already has $48 saved.
How many tickets must be sold to earn $300 total?
21 tickets
400
A dog runs 9 meters east, then 12 meters north, then directly back to it's starting point.
How far did the dog travel altogether?
36 meters
400
Find the measure of angles a, b, c, and d shown below:
Angle a: 106 degrees
Angle b: 106 degrees
Angle c: 74 degrees
Angle d: 122 degrees
400
Assume the coordinate points on a triangle are at (4, 6), (6,-4), and (1,2).
Translate using the rule (x-8, y-3)
(-4, 3), (-2, -7), and (-7, -1)
500
Solve for the variable x:
3(2x + 5) - 4x = 22
x=-3.5 or 7/2
500
How many degrees is the measure of angle STV?
153 degrees
500
Write an equation in slope-intercept form that passes through the point (3,-2) but is perpendicular to the line below:
y=1/2x-7
y=-2x+5
500
Assume the coordinate points on a triangle are at (1, 1), (1,5), and (4,5).
Rotate this triangle 90 degrees counterclockwise.
(-1,1), (-5,1), and (-5,4)
