Transformations
Reflect point (4, -3) over the Y axis. What is the new point?
(-4, -3)
In the equation y = 4x + 3; what is the slope?
4
Which expression is equivalent to 0.0005?
5 x 10^-4
A runner tracks his distance in miles, y, traveled over time in hours x. He uses the equation shown as a model for this data.
y=8.2x
What does the 8.2 represent in this situation?
A) the runner’s average speed, B) the total time the runner travels, C) the total distance the runner travels, D) the distance traveled by the runner at any time
A) the runner’s average speed
Solve for x:
3x + 20 = 50
x = 10
Given triangle ABC with their points being: A(-2, -3), B(2, 2), C(5, -3); what will A', B', and C' be if the triangle is translated 3 units left and 4 units up?
A'(-5, 1), B'(-1, 6), C'(2, 1)
The equation y = 25x + 35 represents a cable company's internet charges, with y being the total cost and x representing the number of months. What is the cost per month and the initial fee?
Cost per month is $25.00, and the start-up fee is $35.00.
The current population of a city is 8.35 x 10^5 people and the city is expected to grow in population by approximately 1.6 x 10^4 people next year.
What is the expected population of the city next year?
8.51 x10^5
Given endpoints on a line (1, 1) & (-6, 6): what is the length of that line?(you will need graph paper)
8.6 units
Solve for x:
5x - 30 = -2x + 5
x = 5
If quadrilateral E(-6, 6), F(-2, 6), G(-3, 2), H(-7, 2) was transformed to E'(6, 1), F'(6, -3), G'(2, -2), H'(2, 2), which sequence of transformations took place?
A)Reflect Y then 5 right: B)Reflect Y then 5 down: C)90degree CW then 5 right: D)90degree CW then 5 down
D
Point P is at (-6, -2) and point Q is at (3,7). Which point lies on the same line?
(-1,3). (-2, 3), (1, 7), (1,4)
(-1, 3)
What is the solution to the following (leave in power form):
43 x 47 x 46
416
If you have (2) parallel lines cut by a transversal lines, what congruent angles does it create? (Hint: there are four of them)
Vertical, Alternate Interior, Alternate Exterior, and Coresponding
Solve for x:
3x3 + 112 = 193
x = 3
What are the rules for rotating 90 degrees CW; 90 degrees CCW; and 180 degrees
Write the rules as (x , y)
90 degrees CW: (x, y) - (-x, y) - (y, -x)
90 degrees CCW: (x, y) - (x, -y) - (-y, x)
180 degrees (x, y) - (-x, -y)
Two window washing companies send out quotes. Company A has a set up fee of $20 and charges $8.00 per window. Company B does not have a set up fee and charges $12.00 per hour. How many hours need to be worked in order for the cost to be equal?
5 hours
What are all solutions to the following equation?
x2 = 625
A) 53 B) 25 C) 252 D) -25 E) -5
B) 25 & D) -25
If a right triangle has one leg that measures 7.6 inches and another leg that measures 5.4 inches and they meet to form a 90 degree angle, what is the measurement of the other side length in the triangle?
9.32 inches
Solve for x:
-2(-3x - 4) = 9x -19
x = 9
Given points: A(-2, 5), B(-5, 3), C(-5, -1), D(-2, -3); what would the new coordinates be if they were rotated 90 degrees CCW, then translated 2 units right and 3 units down.
A'(-3, -5), B'(-1, -8), C'(3, -8), D'(5, -5)
If your total bill at the grocery store was $76 and you only bought 5 pounds of grapes and a $50 gift card, how much were the grapes per pound?
$5.20
(1.7 x 10^4) (a x 10^b) = (6.12 x 10^7)
What is the value of a and what is the value of b?
a = 3.6
b = 3
The coordinate plane is shown.
Ted draws triangle MNO in Quadrant III of the coordinate plane. He then applies two transformations to the triangle.
First, the triangle is reflected across the x-axis
Then, the triangle is dilated by a factor of ⅓ about point M’ to create triangle PQR
Which statement is true about triangle PQR?
A) Triangle PQR is congruent to triangle MNO and is in quadrant IV, B) Triangle PQR is congruent to triangle MNO and is in quadrant II, C) Triangle PQR is similar to triangle MNO and is in quadrant IV, D) Triangle PQR is similar to triangle MNO and is in quadrant II
D) Triangle PQR is similar to triangle MNO and is in quadrant II
Solve for x:
3(2x - 7) - 54 + 4x= -7(x + 3) + 2x + 6
x = 4