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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.7, 8.EE.C.7b
Grade 8 Linear Equations CCSS: 8.EE.C.7, 8.EE.C.7b
Grade 8 Linear Equations CCSS: 8.EE.C.7, 8.EE.C.7b
Solve.
$8(9)-6(y-12)=0$
1. y = 0
2. y = -72
3. y = -12
4. y = 24
Grade 8 Linear Equations CCSS: 8.EE.C.7, 8.EE.C.7b
Grade 8 Functions and Relations CCSS: 8.EE.C.7, 8.EE.C.7a
Solve the 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.8, 8.EE.C.8b
The lines $y=x+8$ and $3y-2x=2y+5$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $3y=x-2$ and $6y+2x=4$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $4y-3y=3x+8$ and $y=3x+5$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $4y-2y+3x=2x+8$ and $y=3x+5$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $y=2x+5$ and $3y-2x=2y+5$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $y+x=2x-6$ and $y-x=-6$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $3y=x-2$ and $6y-2x=4$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $4y=3x-2$ and $7y+3x=10$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $18y+6x+5=12y-4x-10$ and $6y=-10x-15$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $y+3x=2x-6$ and $2y-x=-4$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $y=2x+5$ and $3y+2x=2y+5$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $3y=x-2$ and $6y-2x=-4$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8
Grade 8 Linear Equations CCSS: 8.EE.C.7, 8.EE.C.7a
The lines $2y=10x$ and $y=5x$ have
1. no solutions.
2. 2 solutions.
3. infinite solutions.
4. 1 solutions.
Grade 8 Linear Equations CCSS: 8.EE.C.8, 8.EE.C.8b
The lines $2y-x-5=y+x+2$ and $y=2x+7$ have
1. no solutions.
2. 1 solution.
3. infinitely many solutions.
4. 2 solutions.
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