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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify: x23(x14). Assume x is positive.
  1. x16
  2. x37
  3. x18
  4. x1112
  5. None of these are correct
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the quadratic formula used for?
  1. Finding the slope of a line
  2. Solving linear equations
  3. Solving quadratic equations
  4. Factoring polynomials
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
4b-2d=5
-2b+d=1
  1. Infinite Solutions
  2. (0,1)
  3. (1,0)
  4. No Solution
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
r=-3s
r+4s=10
  1. r=-30,s=10
  2. r=34,s=-34
  3. r=13,s=3
  4. No Solution
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
For the quadratic function defined by the expression x2+x-2, find its zeros by factoring.
  1. x=-2,-1
  2. x=-1,2
  3. x=-2,1
  4. Cannot be factored.
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume m and n are positive. m56 n32m47 n92
  1. m3524n13
  2. m5942n6
  3. m1142n3
  4. m-1021n-274
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
t+2s=1
2t-3s=23
  1. s=-3,t=7
  2. s=23,t=2
  3. s=-37,t=13
  4. s=-7,t=3
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the complex conjugate of the complex number 2 + 3i?
  1. 2 - 3i
  2. 2 + 3i
  3. -2 + 3i
  4. -2 - 3i
Grade 10 Logarithms CCSS: HSF-IF.A.1
What is the domain of the function f(x)=3log2x?
  1. [0,∞)
  2. (0,∞)
  3. (3,∞)
  4. [2,∞)
  5. (-∞,∞)
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the relationship between logarithmic and exponential functions?
  1. They are not related
  2. Exponential functions are the inverse of logarithmic functions
  3. Logarithmic functions are the inverse of exponential functions
  4. Logarithmic and exponential functions are related because they are inverse functions of each other
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
What is the solution to this system of equations y=2x+3 and y=2x+8?
  1. No solution
  2. Infinitely many solutions
  3. (0,0)
  4. (2,5)
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for m.
2m+3=3m-3
  1. 3
  2. 6
  3. 2
  4. 23
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume a and b are positive. a43 (a-12b95)34
  1. a4715b2720
  2. a1912 b5120
  3. a58 b2720
  4. a2324b2720
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for a.

a2+b2=c2
  1. a=±√c2b2
  2. a=±√b2-c2
  3. a=±√c2+b2
  4. a=±√c2-b2
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations by substitution.
y = 6x + 6
-3x + y = 6
  1. (1, 12)
  2. (0, 12)
  3. (0, 6)
  4. (-1, 3)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
What are the zeros of the quadratic function defined by the expression 9x2-12x+4?
  1. -13,43
  2. -43,13
  3. x=23
  4. x=-23,23
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for x.
4x+5=5x-5
  1. 1
  2. 45
  3. 10
  4. -5
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