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Tenth Grade (Grade 10) Arithmetic and Number Concepts Questions

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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.
[math]t+2s=1[/math]
[math]2t-3s=23[/math]
  1. [math]s=-3, t=7[/math]
  2. [math]s=2/3, t=2[/math]
  3. [math]s=-3/7, t=1/3[/math]
  4. [math]s=-7, t=3[/math]
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]a^2+b^2=c^2[/math]
  1. [math]a=+-sqrt(c^2/b^2)[/math]
  2. [math]a=+-sqrt(b^2-c^2)[/math]
  3. [math]a=+-sqrt(c^2+b^2)[/math]
  4. [math]a=+-sqrt(c^2-b^2)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Absolute Value
Solve for x.

[math]|8 + 4x| = -12[/math]
  1. no solution
  2. -5
  3. 1
  4. 1 or -5
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]v^2=2a(s-s_0)+v_0^2[/math]
  1. [math]a=(v^2-v_0^2)/(2(s-s_0)[/math]
  2. [math]a=(2(s-s_0)/(v^2-v_0^2)) [/math]
  3. [math]a=(v^2+v_0^2)/(2(s+s_0)[/math]
  4. [math]a=2(v^2-v_0^2)/((s-s_0)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Use elimination to solve the system of equations.

[math]x+5y=17[/math]
[math]-4x+3y=24[/math]
  1. [math](3,4)[/math]
  2. [math](-3,4)[/math]
  3. [math](12,1)[/math]
  4. [math](3,12)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Use substitution to solve the system of equations.

[math]y=-4x+11[/math]
[math]3x+y=9[/math]
  1. [math](2,3)[/math]
  2. [math](1,7)[/math]
  3. [math](-3,2)[/math]
  4. [math](4,-3)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
[math]y=5x+8[/math]
[math]4y+x=4[/math]
  1. [math](-4,3)[/math]
  2. [math](1,2)[/math]
  3. [math](-4/3,4/3)[/math]
  4. [math](1/2,2/5)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations using substitution or elimination.

[math]8x+3y=-7[/math]
[math]7x+2y=-3[/math]
  1. [math](4,13)[/math]
  2. [math](-3,9)[/math]
  3. [math](1,-5)[/math]
  4. [math]"No Solutions"[/math]
Grade 10 Absolute Value
Solve the absolute value equation.
[math]| 5x + 12 | = - 53[/math]
  1. [math]x= 8.2, -13[/math]
  2. [math]x= -8.2, 13[/math]
  3. [math]x= 41/5, 13[/math]
  4. [math]"No solution"[/math]
Grade 10 Absolute Value
Solve for x.

[math]|x - 13| = 21[/math]
  1. {34, -8}
  2. {34,8}
  3. {-34, -8}
  4. no solution
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Given [math]A =P+Prt[/math], solve for [math]P[/math].
  1. [math]P = (A - P)/(rt)[/math]
  2. [math]P = A/(1+rt)[/math]
  3. [math]P=A/(rt)[/math]
  4. [math]P=A/(1-t)[/math]
Grade 10 Rational and Irrational Numbers CCSS: HSN-RN.B.3
Let [math]x=sqrt(3)[/math]. Which of the following results in an irrational number? Choose all that apply.
  1. [math]3x[/math]
  2. [math]x/0[/math]
  3. [math]x+9[/math]
  4. [math]x+sqrt(x)[/math]
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