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Function and Algebra Concepts Questions - All Grades

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Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8c
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 9 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
[math]-x+y=3[/math]
[math]x+y=7[/math]
  1. x=3, y=1
  2. x=2, y=5
  3. x=1, y=1
  4. x=4, y=2
  5. x=5, y=2
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]R[/math].

[math]2T=(5R)/S[/math]
  1. [math]R=(5ST)/2[/math]
  2. [math]R=(2S)/(5T)[/math]
  3. [math]R=(2)/(5ST)[/math]
  4. [math]R=(2ST)/5[/math]
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Two or more linear equations in the same variable form
  1. a point of intersection.
  2. a solution of a linear system.
  3. perpendicular lines.
  4. a system of linear equations.
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]S=1/2at^2[/math]
  1. [math]a=(2S)/t^2[/math]
  2. [math]at^2=2S[/math]
  3. [math]a=t^2/(tS)[/math]
  4. [math]a=(S)/(2t^2)[/math]
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 7 Algebraic Expressions CCSS: 7.EE.A.1
Simplify the expression.
[math]6m + 10 - 10m[/math]
  1. [math]4m + 10[/math]
  2. [math]-4m + 10[/math]
  3. [math]16m + 10[/math]
  4. [math]6m[/math]
Grade 8 Systems of Equations CCSS: 8.EE.C.8, 8.EE.C.8b
Solve the system.
y = 5x − 2
y = −3x + 6
  1. (2, 4)
  2. (1, 3)
  3. (2, 8)
  4. (4, 2)
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]z[/math].

[math]x=z/y[/math]
  1. [math]z=xy[/math]
  2. [math]z=x/y[/math]
  3. [math]z=y/x[/math]
  4. [math]x=zy[/math]
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
[math]x+3y=9[/math]
[math]4x-2y=-6[/math]
  1. x=0, y=0
  2. x=3, y=7
  3. x=1, y=2
  4. x=3, y=3
  5. x=0, y=3
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
[math]x+y=8[/math]
[math]2x-y=1[/math]
  1. [math](5, 2)[/math]
  2. [math](2/5, 2/11)[/math]
  3. [math](2, 5)[/math]
  4. [math](3, 5)[/math]
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]B[/math].

[math]A=BC[/math]
  1. [math]B=AC[/math]
  2. [math]B=C/A[/math]
  3. [math]B=A/C[/math]
  4. [math]A=B/C[/math]
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