Coordinate Algebra Milestones Review

Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?

• y = -1/2x + 6

• y = 1/2x + 6

• y = -2x + 6

• y = 2x + 6

What is an equation of a line that is perpendicular to the line whose equation is 2y = 3x - 10 and passes through (-6,1)?

• y = -2/3x - 5

• y = -2/3x - 3

• y = 2/3x + 1

• y = 2/3x + 10

What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x - 6y = 15 (Point- Slope Form)?

• y - 9 = -3/2 (x - 6)

• y - 9 = 2/3( x- 6)

• y + 9 = -3/2 (x + 6)

• y + 9 = 2/3 (x + 6)

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3. 

• (1,5)

• (3,7)

• (4,4)

• (5,8)

Tags

CCSS.HSG.GPE.B.6

Find the distance between (-12, 1) and (12, -1).

• 24.05

• 24.06

• 24.07

• 24.08

Tags

CCSS.HSG.GPE.B.7

Find the distance between (2, -75) and (10, 235).

• 305.5

• 308.6

• 310.1

• 315.3

Tags

CCSS.HSG.GPE.B.7

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Consider ∆ABC. What are the coordinates for ∆A'B'C' under the transformation r_x=3?

• (2, 1), (4, 4), (6, 2)

• (1, -2), (4, -4), (2, -6)

• (-1, 2), (-4, 4), (-2, 6)

• (5, 2), (2, 4), (4, 6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Solve the following system of equations:
3a + 2b = 2
-2a + b = 8

• (-2, 2)

• (4, -2)

• (2, 4)

• (-2, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• The boundary line should be dotted or dashed.
• The shading line is on the wrong side of the boundary line
• The boundary line has the wrong y-intercept
• The boundary line has the wrong slope.

Tags

CCSS.HSA.REI.D.12