Transformations
TRUE OR FALSE
A dilation is a rigid transformation, the image and the pre-image are congruent.
FALSE
What is the slope of this equation?
y = 1.6x - 9
1.6
TRUE OR FALSE
y = 3x2 + 9 is a linear function.
FALSE
TRUE OR FALSE
A rational number can be written as a non-terminating decimal if it repeats.
TRUE
Does this set of numbers create a right triangle?
4 cm, 7.5 cm, 8.5 cm
Yes!
16 + 56.25 = 72.25
The area of a triangle is 34 square centimeters. The triangle is reflected over the y-axis and then tranlated 2 units up and 4 units left. What is the image's area?
34 square cm
Reflections and Translations produce congurent images.
TRUE OR FALSE
y = 9 is the equation of a horizontal line.
TRUE
A set of ordered pairs is shown below.
{(-3,3), (1,1), (4,2), (-1,-1), (-2, -1), (3,1), (-2,3)}
Which ordered pair should be removed to make the set a function?
(-2, -1) or (-2, -3)
Rewrite this expression wtih one base and a positive exponent.
4-3 x 4-6
1/49
A right triangle has a hypotenuse of 61 inches and a leg of 60 inches, how long is the other leg?
11 inches
Point C plotted at (-4,3). Point C is then reflected over the y-axis to create its image C’. After the reflection, what are the coordinates of point C’?
(4,3)
Determine the slope between the points (0, 8) and (5, 4).
-4/5 or -0.8
Two ordered paris of a linear function are shown below.
(2, 4.5) and (3, 5.25)
What is the rate of change for the function?
0.75 or 3/4
What two whole numbers is the square root of 132 between?
11 and 12
Two points are plotted on a coordinate plane. Point A is plotted at (5, 9) and Point B is plotted at (-7,-7 ). What is the distance, in units, from Point A to Point B?
20 units
Point A is located at (3, -2) on the pre-image of a figure. Point A' is located at (4.5, -3). If a dilation was perfomed about the origin, what was the scale factor from Point A to Point A'?
1.5
The total cost of renting a boat (in dollars) is represented by y, which includes the initial deposit amount. x represented the number of hours spent on the boat. The slope is 6.50 and the y-intercept is 25.
What does the slope represent?
The cost per hour to rent the boat.
$6.50 per hour.
A group of friends went to a movie theater and paid $15.00 for each movie ticket, the group of friedns shared one container of popocorn that cost $8.99. Write an equation taht can be used to determine the total cost, c, for n tickets and the container of popcorn.
C = 15n + 8.99
Cory drinks water from a bottle during a bike ride. The average amount of water, in ounces, in his water bottle can be represents by the equation y = -8x + 32, where y is the amount of water remaining after x hours. Based on the equation, what amount of water, in ounces, will remain in the bottle after Cory rides for 2.5 hours?
12 ounces
A circle has an area of 50.27 square inches. What is the lenght of it's radius to the nearest whole number?
4 inches
Point A is located at (-3, 5) is reflected over the x-axis. Then Point A' is translated 3 down and 8 to the right. Then the point is roated 90 degrees counter clockwise about the origin. What are the cooordinates of A'?
Solve -6(x - 4) + 5x = -9x
-3
A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. IF the car continues to travel at this rate, write an equation can be used to determine y, the total number of miles the car will travel, in x hours?
y = 48x
Rewrite this expression with one base and a positive exponent.
26 x 2-4 x 82
162
A cylinder has a radius of 4.8 feet and a height of 8.1 feet. What is the volume, to the nearest tenth of a cubic foot, of the cylinder?
586.3 cubic feet