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# Tenth Grade (Grade 10) Arithmetic and Number Concepts Questions

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Grade 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
If you pay $11 for 1 apple and 9 bananas and pay$7 for 3 apples and 1 banana, how much does an apple and a banana cost?
1. Apple = $-1 Banana =$2/3
2. Apple = $2 Banana =$1
3. Apple = $1 Banana =$4/9
4. Apple = $1/2 Banana =$1/2
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for $B$.

$A=BC$
1. $B=AC$
2. $B=C/A$
3. $B=A/C$
4. $A=B/C$
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
Select the solution to the system of linear equations.
$x+y=8$
$2x-y=1$
1. $(5, 2)$
2. $(2/5, 2/11)$
3. $(2, 5)$
4. $(3, 5)$
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for $r$.

$4x+y=3t-2r$
1. $(4x+y-3t)/-2=r$
2. $(4x+y-3t)/2=r$
3. $(4x+y)/6t=r$
4. $-2(4x+y)/3t=r$
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for $z$.

$x=z/y$
1. $z=xy$
2. $z=x/y$
3. $z=y/x$
4. $x=zy$
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for $r$.

$a=v^2/r$
1. $r=a/v^2$
2. $r=v^2a$
3. $r=v^2/a$
4. $r=sqrt(v)/a$
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
$x+2y=11$
$3x-2y=9$
1. $(3, 2)$
2. $(5, 3)$
3. $(4.5, 2)$
4. $(1/2, 2/3)$
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
3x - 2y = 7
x + 3y = 6
1. x = 3, y = 1
2. x = -1, y = 1.67
3. x = 0, y = 1
4. x = 3, y = -2
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve this system of equations.
$4x - 2y =8$
$-5x + 3y = 9$
1. $x = 12, y = 15$
2. $x = 21, y = 38$
3. $x = 9, y = 8$
4. $x = -12, y = -15$
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
x - y = 6
3x + 2y = -22
1. (-2, -8)
2. (6.8, 0.8)
3. (2, 8)
4. (-8,-2)
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