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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 Systems of Equations CCSS: HSA-REI.C.7
At what point(s) do the following equations intersect?
[math]y=2x+6[/math]
[math]x^2+(y+4)^2=10[/math]
  1. [math](0,6)[/math]
  2. No intersection
  3. [math](1+sqrt(5), 4+2sqrt(5)), \ (1-sqrt(5), 4-2sqrt(5))[/math]
  4. [math](4,-2), \ (9,-12)[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the point(s) of intersection of the following equations.
[math]y=4x+2[/math]
[math]y=2(x-1)^2-2[/math]
  1. No intersection
  2. [math](1,6), \ (-1,-2)[/math]
  3. [math](2+sqrt(3),10+4sqrt(3)), \ (2-sqrt(3), 10-4sqrt(3))[/math]
  4. [math](2+sqrt(5),10+4sqrt(5)), \ (2-sqrt(5),10-4sqrt(5))[/math]
Grade 11 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
At what point(s) do the equations [math]y=x^2+2x+4[/math] and [math]y=-x^2+2x+6[/math] 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 [math]y=x^2+4x+4[/math] and [math]y=12x+24[/math] 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).
[math]y=-5x^2+10[/math]
[math]y=-x+4[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=-2x^2+2[/math]
[math]y=3x+5[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=-x^2-2[/math]
[math]y=-2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=2x^2+3[/math]
[math]y=3x+5[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=-2x+2[/math]
[math]y=-x^2+5[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=5x^2-10[/math]
[math]y=x+5[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=x^2+5[/math]
[math]y=-x-2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=x-5[/math]
[math]y=3x^2-10[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=.5x^2 -6[/math]
[math]y=3x+2[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.C.7
Find the solution(s).
[math]y=x^2-8[/math]
[math]y=x-2[/math]

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