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Common Core Standard HSA-REI.C.7 Questions

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x2 + y2 = 3.

You can create printable tests and worksheets from these questions on Common Core standard HSA-REI.C.7! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Solve the system of equations.
y=5x2-6
y=4x2+x
Grade 11 Systems of Equations CCSS: HSA-REI.C.7
At what point(s) do the following equations intersect?
y=2x+6
x2+(y+4)2=10
  1. (0,6)
  2. No intersection
  3. (1+√5,4+2√5), (1-√5,4-2√5)
  4. (4,-2), (9,-12)
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the point(s) of intersection of the following equations.
y=4x+2
y=2(x-1)2-2
  1. No intersection
  2. (1,6), (-1,-2)
  3. (2+√3,10+4√3), (2-√3,10-4√3)
  4. (2+√5,10+4√5), (2-√5,10-4√5)
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
At what point(s) do the equations y=x2+2x+4 and y=-x2+2x+6 intersect?
  1. No Intersection
  2. (4, 2), (6, 2)
  3. (1, 7), (-1, 3)
  4. (2, 4), (2, 6)
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
At what point(s) do the equations y=x2+4x+4 and y=12x+24 intersect?
  1. (-2, 0), (10, 144)
  2. (4, 4), (12, 24)
  3. No Intersection
  4. (3, 6), (6, 3)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=-5x2+10
y=-x+4
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=-2x2+2
y=3x+5
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=-x2-2
y=-2
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=2x2+3
y=3x+5
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=-2x+2
y=-x2+5
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=5x2-10
y=x+5
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=x2+5
y=-x-2
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=x-5
y=3x2-10
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=.5x2-6
y=3x+2
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
y=x2-8
y=x-2

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