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# Common Core Standard HSA-REI.C.6 Questions

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Grade 11 Systems of Equations CCSS: HSA-REI.C.6
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve for x and y.
3x - 4y = 26
x - 8y = 22
1. x=6, y= -2
2. x=4, y=3
3. x=1, y=6
4. x= -3, y=4
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve by substitution.

-x + y = -4
y = 2x - 11
1. (7, 3)
2. (-7, 3)
3. (3, 7)
4. (-3, -7)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Which system of equations has no solutions?
1. $a - b = 2, \ \ \ b = -a - 3$
2. $a-b=3, \ \ \ a+b=-2$
3. $-a+b=-2, \ \ \ b=a+3$
4. $a+b=3, \ \ \ -a+b=2$
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system.
$4x-6y=18$
$-2x+3y=9$
1. (0, - 3)
2. (4.5, 0)
3. No Solution
4. Infinitely Many Solutions
Grade 10 Angles CCSS: HSA-CED.A.3, HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
$y=x-8$
$y=-3x$
1. $(2,-6)$
2. $(-2,6)$
3. $(3,-9)$
4. $(1,7)$
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Grade 11 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve by elimination.

x + y = 12
2x + 5y = 27
1. (1, 11)
2. (2, -4)
3. (-5, -1)
4. (11, 1)
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
2x + 9y = 0
3x + 5y = 17
1. (-9, 2)
2. (-9, -0)
3. (9, -2)
4. (-2, 9)
Grade 11 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
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