U1 Transformations
Name and describe the 4 types of transformations.
Translation- a slide up, down, left, and/or right Reflection- a flip over a line (usually the x or y axis) Rotation- a turn around a point (usually the origin) Dilation- an enlargement (k>1) or reduction (0<k<1)
How do you know when an equation has one solution, no solution, or infinite solutions?
One solution - The variable is equal to a single number (ex. x = 5)
No solution - You are left with a false statement (ex. 5 = 4)
Infinite solutions- You are left with a true statement (ex. 0 = 0)
What is the measure of a straight angle (a line)?
What is 180 degrees?
What do m and b represent in y = mx + b?
What is m (slope) and b (y-intercept)?
How do you know when a system has one solution, no solution, or infinite solutions from a graph?
One solution: the 2 lines intersect at one point.
No solution: the 2 lines are parallel and never intersect
Infinite solutions: the 2 lines coincide (the same line)
If point A (3,-1) is translated 2 units right and 4 units down, what are the coordinates of the image?
What is (5,-5)?
Solve the following equation:
-2x + 3 = 11
What is x = -4?
What is the sum of the measures of the 3 interior angles of a triangle?
What is 180 degrees?
Click the link for the question. https://docs.google.com/presentation/d/14XJoOm4N0ZiQ5GBYW6orbiWrjQJ53tPyAUUKGJuKPSU/edit#slide=id.p14
What is A: -3 B: -2 C: -3.5 or -7/2
C represents the fastest rate of change, even though it is negative.
Solve the system. y = 1/5 x and 15x - 25y = 10
What is (1, 1/5)?
If point A (3,-1) is reflected over the y-axis, what are the coordinates of the image?
What is (-3,-1)?
Solve the following equation:
2x + 4 = 5x + 16
What is x = -4?
Find the measure of angle 3 AND name the relationship with the given angle. Click the link for the picture. https://drive.google.com/a/mytusd.org/file/d/0BxDsTQ-smNkUWVZzZDRsVU80QzA/view?usp=sharing
What is 63 degrees AND vertical angles?
Click the link for the question. https://docs.google.com/presentation/d/1oDwLt0LqpQlRBJHbwVqBZaqNUnrP612mUy-kMjLRcfI/edit#slide=id.p11
The cheerleaders sold spirit bracelets for $4 each and noise-makers for $5 each. They sold a total of 210 items earning $965. How many noise-makers did they sell?
What is 125 noise makers?
If point A (3,-1) is rotated 90 degrees counter-clockwise about the origin, what are the coordinates of the image?
What is (1, 3)?
Solve the following equation:
6a - 7 = 2a - (7 - 4a)
What is infinite solutions?
Click the link for the question. https://drive.google.com/open?id=0BxDsTQ-smNkUWWVSNVY2Mko2WWs
What is 45 degrees?
Click the link for the question. https://docs.google.com/presentation/d/1PpHSQnqpelHXawW1tTNQuNRtBviaYxL8wJcDoIhQzTg/edit#slide=id.p8
The car speeds up, then it stays the same speed, then it speeds up more and maintains that same speed, and finally it slows down to a stop.
Solve by graphing: y = 6x + 2 AND 12x - 2y = -10
What is no solution?
If point A (3,-1) is dilated by a scale factor of 3 with respect to the origin, what are the coordinates of the image?
What is (9, -3)
Solve the following equation:
4(y - 2) + 6y = 7(y - 8) - 3(10 - y)
What is no solution?
Find the measure of angle 1 and 2 AND name the relationship with the given angle and angle 1. Click the link for the picture. https://drive.google.com/a/mytusd.org/file/d/0BxDsTQ-smNkUWVZzZDRsVU80QzA/view?usp=sharing
angle 1 = 63 degrees (corresponding with the given angle) angle 2 = 117 degrees
Click the link for the question. https://docs.google.com/presentation/d/1oDwLt0LqpQlRBJHbwVqBZaqNUnrP612mUy-kMjLRcfI/edit#slide=id.p13
What is y = 1/2 x - 1 (or y = 0.5x - 1)?
Choose/define variables, write a system of linear equations, and solve. Sally has 100 dimes and quarters worth $21.40. How many dimes does Sally have?
What is 24 dimes?