Geometry
Moving a figure down 2 units and right 3 units is called a _______________________.
Translation
y = mx + b
Name each part of the equation.
y:output m:slope x:input b:y-intercept
Rise over run is also known as
Slope
How any solutions does the system of equations have?
y=3x + 4
y=3x -2
No Solution. Same slope, different y-int.
The interior angles of a triangle have a sum of how many degrees?
180 degrees
What is the difference between categorical data and quantitative date?
Categorical data falls into a category. Quantitative is a numerical response.
The slope of the line with the points (4,0) and (6,0)
Slope = 0
How many solutions?
y = 3x + 4
4y = 12x + 64
No solution
Point A(6, -7) is reflected across the y-axis. What is the coordinate of the image?
A'(-6, -7)
What do we call the point where a linear equation crosses the y-axis?
y-intercept
A rectangle has the side lengths 6x and 3x. What is the expression for the area of this rectangle?
18x2
Solve the system of equations:
y=3x + 5
y=x + 19
(7, 26)
A triangle has side lengths of 5cm, 12cm and 13cm. Is this a right triangle?
Yes. 52 + 122 = 132
Describe what the graph of the following equation would look like: x=3
It would be a vertical line at 3 on the x axis.
What is the point slope formula?
y2- y1
______
x2 - x1
Solve the system of equations:
y = 1/4x - 2
8y - 2x = -16
Infinite solutions
Point L(8, 1) is translated 3 units up and 2 units left, then is reflected across the x-axis. What is the coordinate of the new image?
L'(6, -4)
Write an equation for the following scenario in slope intercept form.
Boaz started out with 3 girlfriends, then gained 2 more every day.
y = 2x + 3
Solve for y. 5x + 2y = 14
y = -5/2 x + 7
Kevin is a substitute in 2 districts. District one pays $200 per day and a $500 signing bonus. District two pays $175 per day and a $800 signing bonus.
After how many days will Kevin make the same amount at both jobs?
12 days