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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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Grade 10 Linear Equations
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 Function and Algebra Concepts 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 10 Function and Algebra Concepts 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 10 Function and Algebra Concepts 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 10 Linear Equations
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 Linear Equations CCSS: HSA-REI.B.3
Grade 10 Function and Algebra Concepts 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]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]x[/math].
[math]4x+5=5x-5[/math]
  1. [math]1[/math]
  2. [math]4/5[/math]
  3. [math]10[/math]
  4. [math]-5[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]y[/math].
[math](50-y)/9=y[/math]
  1. [math]50/9[/math]
  2. [math]3[/math]
  3. [math]9[/math]
  4. [math]5[/math]
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for [math]r[/math].

[math]4x+y=3t-2r[/math]
  1. [math](4x+y-3t)/-2=r[/math]
  2. [math](4x+y-3t)/2=r[/math]
  3. [math](4x+y)/6t=r[/math]
  4. [math]-2(4x+y)/3t=r[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]t[/math].
[math]14t=(50-2t)/7[/math]
  1. [math]49[/math]
  2. [math]7[/math]
  3. [math]5[/math]
  4. [math]1/2[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]x[/math].
[math](3x)/4+(5x)/6=x+7/8[/math]
  1. [math]3/2[/math]
  2. [math]2/3[/math]
  3. [math]0[/math]
  4. No Solution
Grade 10 Quadratic Equations CCSS: HSA-CED.A.4
Solve for [math]r[/math].

[math]a=v^2/r[/math]
  1. [math]r=a/v^2[/math]
  2. [math]r=v^2a[/math]
  3. [math]r=v^2/a[/math]
  4. [math]r=sqrt(v)/a[/math]
Grade 10 Quadratic Equations CCSS: HSA-REI.B.4
Factor the expression.
[math]9x^2 + 24x +16[/math]
  1. [math](x + 4)(9x - 1)[/math]
  2. [math](3x + 16)(3x + 1)[/math]
  3. [math](3x + 4)^2[/math]
  4. [math](3x + 8)^2[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]x[/math].
[math]3x+4=10[/math]
  1. [math]10[/math]
  2. [math]2[/math]
  3. [math]3/4[/math]
  4. [math]4/30[/math]
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Grade 10 Linear Equations
Which of the following equations is in standard form?
  1. 2x = 7
  2. -3x + 2y = 10
  3. y - 3 = x
  4. y + 5 = 4 (x - 4)
Grade 10 Linear Equations CCSS: HSA-REI.B.3
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