Solving Equations
Equations of Lines
Parallel & Perpendicular
Rotations, Reflections & Translations
Multiplying Polynomials
100
3x+20=38
x = 6
100
If the slope of a line is 2 and the y-intercept is -3, what is the equation of this line?
y = 2x - 3
100
How are slopes of perpendicular lines relates? EXACT TERMINOLOGY
Opposite, Reciprocals
100
What movements (slide, spin and flip) correspond to each term: rotation, reflection and translation.
Rotation- Spin Reflection- Flip Translation- Slide
100
(2x)(3+y)
6x + 2xy
200
0.3x + 2 = 5
x = 10
200
What is the equation of the line through the points (3,2) and (0,3)?
y = (-1/3)x + 3
200
What is the equation of the line parallel to y=2x through the point (0,4)?
y = 2x + 4
200
If the triangle with coordinates (1,2), (3,4), and (5,6) are reflected across the x axis what are the new points?
(1,-2), (3, -4), and (5, -6)
200
(x-2)(x+3)
x^2 + x - 6
300
.2x + .4 = 1.2
x = 4
300
If a line goes through the points (6, -4) with a slope of 1/2, what is the line of the equation?
y = (1/2)x - 7
300
What is the equation of the line perpendicular to y = 3/4x - 3 through the point (3,5)?
y = (-4/3)x + 9
300
If I rotate my shape located in the 1st quadrant (for example (1,1)) by 270* counterclockwise, which quadrant will its rotation be in?
4th quadrant
300
(3x - y)(2 - y)
6x -3xy -2y +y^2
400
3x - 2x -4 = x + 3
no solution
400
Describe what y = 3/4 x - 2 would look like as a graph.
A point at (0, -2) or crossing the y axis at -2 and then from that point up 3 over to the right 4 and you'd hit another point.
400
How many degrees are between two perpendicular line and two parallel lines at their intersections?
90* and none, parallel lines never cross
400
Sketch the shape with vertices at (2,-3), (2,0), (4, 1), (3, -2) then translate it 4 up and 3 to the right. What are the new coordinates?
(5,1), (5,4), (7, 5), (6, 2)
400
(x + y + 1)(3 + x)
x^2 + 4x + 3y + xy + 3
500
(2/3)x + 4/5 = 14/6
x = 2.3 or 23/10
500
Put this equation into slope-intercept form: 2x + 9y = 18
y = (-2/9)x + 2
500
What type of line compared to y=3x-1 goes through the points (3,6) and (2,3)?
A parallel line.
500
Rotate the points (2,5), (3,4) and (3,5) about the origin 90* counterclockwise.
(-5, 2), (-4, 3), and (-5, 3)
500
(x + 2y + 4)(3x - y)
3x^2 +5xy -2y^2 + 12x - 4y
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