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Common Core Standard 8.EE.C.8b Questions

Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

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Grade 8 Linear Equations CCSS: 8.EE.C.8b
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=-2x+10[/math] and [math]y=x-2[/math] is
  1. [math](-2,5)[/math]
  2. [math](2,5)[/math]
  3. [math](4,2)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=5x-7[/math] and [math]y=x+1[/math] is
  1. [math](2,3)[/math]
  2. [math](5,-6)[/math]
  3. [math](4,-6)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=x[/math] and [math]y=3x-2[/math] is
  1. [math](1,-2)[/math]
  2. [math](1,3)[/math]
  3. [math](1,1)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=2x-12[/math] and [math]y=x-4[/math] is
  1. [math](-12,-4)[/math]
  2. [math](8,4)[/math]
  3. [math](2,1)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=6x-4[/math] and [math]y=-x+3[/math] is
  1. [math](0,0)[/math]
  2. [math](1,-2)[/math]
  3. [math](1,2)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=-x+6[/math] and [math]y=-x+2[/math] is
  1. [math](-1,3)[/math]
  2. [math](6,3)[/math]
  3. [math](6,-6)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=-x[/math] and [math]y=x+2[/math] is
  1. [math](-1,1)[/math]
  2. [math](-2,2)[/math]
  3. [math](1,-1)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=1/2x-6[/math] and [math]y=x-25/2[/math] is
  1. [math](13,1/2)[/math]
  2. [math](1/2,6)[/math]
  3. [math](1,-25/4)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=-2x+2[/math] and [math]y=2x+14[/math] is
  1. [math](2,14)[/math]
  2. [math](2,2)[/math]
  3. [math](-3,8)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=-2x+2[/math] and [math]y=-3x-1[/math] is
  1. [math](-3,8)[/math]
  2. [math](3,-8)[/math]
  3. [math](2/3,-2)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=2x+4[/math] and [math]y=x-5[/math] is
  1. [math](-9,-14)[/math]
  2. [math](-14,-9)[/math]
  3. [math](4,-5)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=-2x[/math] and [math]y=8x[/math] is
  1. [math](-1/4,2)[/math]
  2. [math](1/4,1)[/math]
  3. [math](0,0)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=2x-2[/math] and [math]y=x+4[/math] is
  1. [math](2,2)[/math]
  2. [math](6,10)[/math]
  3. [math](-6,-10)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=-x+4[/math] and [math]y=x-8[/math] is
  1. [math](2,6)[/math]
  2. [math](-2,6)[/math]
  3. [math](6,-2)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=5x+5[/math] and [math]y=x+5[/math] is
  1. [math](0,0)[/math]
  2. [math](0,5)[/math]
  3. [math](5,0)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=4x+4[/math] and [math]y=8x+8[/math] is
  1. [math](0,-1)[/math]
  2. [math](-1,0)[/math]
  3. [math](0,0)[/math]
  4. No solution
Grade 8 Linear Equations CCSS: 8.EE.C.8b
The solution to [math]y=x-6[/math] and [math]y=-2x+12[/math] is
  1. [math](-2,-2)[/math]
  2. [math](-6,0)[/math]
  3. [math](6,0)[/math]
  4. No solution
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