Transformations
What kind of transformation is a "slide"?
Translation
Does the set {(1,2), (3,4), (3,5)} represent a function?
No
How many degrees are in a triangle?
180
Simplify: 3x + 2x
5x
What is the cube root of 64?
4
What are the new coordinates of (2, 4) after a 180° rotation about the origin?
(-2, -4)
What is the slope in the equation y = 3x + 2?
3
What is the sum of the interior angles of a hexagon?
720 degrees
Factor: 7a²b - 14ab
7ab(a - 2)
Simplify: 3^2 * 3^-3 * 3^-1
1/9 or 3^-2
Triangle A is flipped over the x-axis to become Triangle B. What type of transformation is this?
Reflection
What is the solution to the system of equations y = 2x + 4 and y = 2x - 3?
No solution (parallel lines)
A polygon has an interior angle sum of 1440°. How many sides does it have?
10 sides
What is the value of x if 2x - 12 = 90?
x = 51
What is the cube root of 150 closest to?
5
A shape is turned around the origin. What kind of transformation is this?
Rotation
A system of equations intersects at (4,1). What does that mean?
The solution to both equations is (4, 1)
A triangle has sides 7, 24, and 25. Is it a right triangle?
Yes (Pythagorean Theorem)
Solve: x² = 14
x = ±√14
Multiply: (5x^2)(6y^3) / (35x^3y^2)
(6/7)(1/x)(y)
Triangle 1 is transformed to triangle 2 across a line. Triangle 2 is a mirror image. What is the transformation?
Reflection across a horizontal line
A technician charges y = 45x + 75. What does 75 represent?
The starting cost (y-intercept)
What is the slant height of a cone with height 12 and radius 4?
About 12.6 (use Pythagorean Theorem)
Solve: 0.4(x - 0.5) = 0.2(x + 3)
x = 4
Simplify: (1/4m^9)(36m^2)(2m^3)
18m^14