Pre-Calculus Chapter 1 Quiz

Find the distance between the two points:
(1, -1) (-2, 3)

• √ 25
• √ 3
• 5
• √ 29

Tags

CCSS.HSG.GPE.B.7

Determine if the following equation is symmetric. 
2x=3y²

• Yes; y-axis
• Yes; x-axis
• Yes; y-axis, x-axis, and origin
• Not Symmetical

Find the midpoint between the points:
(4, -4) (4, 8)

• (4,2)
• (0,-6)
• (0, -2)
• (4, -6)

Tags

CCSS.HSG.GPE.B.6

Find the slope between the following points:
(-2, -1) (3, -1)

• Undefined
• -2
• 5/2
• 0

Write the equation of the line (in point slope form) given a slope of -2 and containing the point (3, -1)

• y - 1 = -2 (x - 3)
• y = -2x + 5
• y + 1 = -2 (x - 3)
• y + 2x = 5

Tags

CCSS.HSA.CED.A.2

Write the equation of the line parallel to x - y = -4 containing the point (-5, 3) in slope intercept form. 

• y - 3 = 1 (x +5 )
• y = x + 2
• y = -x - 2
• y = x + 8

Write the equation of the line in standard form given the following points:
(3, -4) (2, 1)

• y - 1 = -5 (x - 2)
• y + 5x = 11
• y = -5x + 11
• y - 5x = 11

Tags

CCSS.HSA.CED.A.2

Write the equation of the circle in standard form given
(h, k) = (-2, 3)
r = 4

• (x+2)² + (y-3)² = 4
• (x+2)² + (y-3)² = 16
• (x-2)² + (y+3)² = 16
• (x+2)² + (y+3)² = 4

Find the center and radius of the circle:
x² + y² - 2x + 4y - 4 = 0

• Center: (1, -2); r = 4
• Center: (2, -4); r = 3
• Center: (2, -4); r = 2
• Center: (1, -2); r = 3

Write an equation of the line perpendicular to x = 5 through the point (0, 4).

• y = 4
• x = 4
• y = 0
• x = 0

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5