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Common Core Standard HSA-CED.A.2 Questions

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

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Grade 9 Linear Equations CCSS: HSA-CED.A.2
Write an equation for the line given the 2 points.
(0 , -6) and (3 , 3)
  1. [math]y= -9x + 3[/math]
  2. [math]y = 3x + -6[/math]
  3. [math]y = 1/3x + -6[/math]
  4. [math]y= -1x - 6[/math]
Grade 9 Linear Equations CCSS: HSA-CED.A.2
Grade 9 Linear Equations CCSS: HSA-CED.A.2
Which is an equation in point slope form that contains the points (-5, 1) and (-2, 6)?
  1. y + 2 = -5/3 (x - 6)
  2. 5x - y = 26
  3. y + 2 = 5/3 (x -6)
  4. y - 2 = -5/3 (x - 6)
Grade 9 Linear Equations CCSS: HSA-CED.A.2
Which is an equation in point-slope form of the line with slope -2.45 and containing the point (4, -2)?
  1. [math]y -2 = 2.45 (x -4)[/math]
  2. [math]y = -2.45x -2 [/math]
  3. [math]y = 2.45x +4[/math]
  4. [math]y + 2 = -2.45 (x - 4)[/math]
Grade 9 Linear Equations CCSS: HSA-CED.A.2
Grade 9 Direct and Inverse Variation CCSS: HSA-CED.A.2
Choose the equation that describes the variation: v varies directly with t; v = 16 when t = 2.
  1. [math]v=kt[/math]
  2. [math]v=k/t[/math]
  3. [math]v=8t[/math]
  4. [math]v=8/t[/math]
Grade 9 Linear Equations CCSS: HSA-CED.A.2
Choose the equation in point-slope form that has a slope of [math]3/4[/math] and passes through (-4,-2).
  1. [math]y+2=3/4(x+4)[/math]
  2. [math]y-2=3/4(x-4)[/math]
  3. [math]y=4/3x-2[/math]
  4. [math]y=3/4x+4[/math]
Grade 9 Linear Equations CCSS: HSA-CED.A.2
What is the equation, in slope-intercept form, of the line with x-intercept -6 and y-intercept 2?
  1. [math]y = 1/3x + 2[/math]
  2. [math]y = 3x + 6[/math]
  3. [math]y - 2 = 1/3(x+6)[/math]
  4. [math]y + 6 = 3(x - 2)[/math]
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
y varies inversely as the cube of x. If y = 5 when x = 2, find y when x = 6.
  1. [math]5/27[/math]
  2. [math]10/54[/math]
  3. [math]20/108[/math]
  4. [math]1 1/9[/math]
Grade 9 Linear Equations CCSS: HSA-CED.A.2
Write an equation in point-slope form for the line that has a slope of 6 and passes through the point (8,7).
  1. [math]x-8=6(y-7)[/math]
  2. [math]y-7=6(x-8)[/math]
  3. [math]y+7=6(x+8)[/math]
  4. [math]y+8=6(y+7)[/math]
Grade 9 Linear Equations CCSS: HSA-CED.A.2
A straight line has a slope m = -2 and passes through the point (1,-4). What is the equation of this straight line?
  1. [math]y=2x+2[/math]
  2. [math]y=-2x-2[/math]
  3. [math]y=4x+2[/math]
  4. [math]y=-4x-4[/math]
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