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Common Core Standard 8.EE.C.7a Questions

Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

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Grade 8 Linear Equations CCSS: 8.EE.C.7a
Grade 8 Linear Equations CCSS: 8.EE.C.7a
Grade 8 Linear Equations CCSS: 8.EE.C.7a
Solve:
[math]8(9)-6(y-12)=0[/math]
  1. y=0
  2. y=-72
  3. y=-12
  4. y=24
Grade 8 Linear Equations CCSS: 8.EE.C.7a
Grade 8 Functions CCSS: 8.EE.C.7a
Solve the following equation:
2(-3x+5)-12=9x-3(5x+4)
  1. Infinitely Many solutions
  2. x=1
  3. x=0
  4. No Solution
Grade 8 Linear Equations CCSS: 8.EE.C.7a, 8.EE.C.8, 8.EE.C.8a
The lines [math]y=x+8[/math] and [math]3y-2x=2y+5[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a, 8.EE.C.8, 8.EE.C.8a
The lines [math]3y=x-2[/math] and [math]6y+3x=8[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
The lines [math]4y-3y+2x=3x+8[/math] and [math]y=3x+5[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a, 8.EE.C.8, 8.EE.C.8a
The lines [math]4y-2y+3x=2x+8[/math] and [math]y=3x+5[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7, 8.EE.C.7a
The lines [math]y=2x+5[/math] and [math]3y-2x=2y+5[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
The lines [math]y+x=2x-6[/math] and [math]2y-x=-6[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
The lines [math]3y=x-2[/math] and [math]6y-3x=8[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a, 8.EE.C.8, 8.EE.C.8a
The lines [math]4y=3x-2[/math] and [math]7y+3x=10[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7, 8.EE.C.7a
The lines [math]18y+6x+5=12y-4x-10[/math] and [math]6y=-10x-15[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
The lines [math]y+3x=2x-6[/math] and [math]2y-x=-4[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
The lines [math]y=2x+5[/math] and [math]3y+2x=2y+5[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
The lines [math]3y=x-2[/math] and [math]6y-3x=-8[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
Two lines are described by the equations [math]y=3x+4[/math] and [math](y+4)/3=x[/math].
  1. There are infinitely many solutions
  2. There is one solution
  3. There are no solutions
  4. There are 2 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7a
The lines [math]2y=10x[/math] and [math]y=5x[/math] have
  1. No Solutions
  2. 2 solutions
  3. Infinite solutions
  4. 1 solutions
Grade 8 Linear Equations CCSS: 8.EE.C.7, 8.EE.C.7a
The lines [math]2y-x-5=y+x+2[/math] and [math]y=2x+7[/math] have
  1. No solutions
  2. 1 solution
  3. Infinitely many solutions
  4. 2 solutions
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