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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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Grade 10 Functions and Relations CCSS: HSF-IF.C.9
At what values of the domain is the function f(x)=x-2 less than the function represented in the graph?
Graph - Quadratic Function y=-x^2
  1. All real numbers
  2. Nowhere
  3. -1<x<0
  4. -2<x<1
Grade 10 Linear Equations
Which of the following is true for the equation y=4x-2?
  1. slope=2, y intercept=4
  2. slope=-2, y intercept=4
  3. slope=4, y intercept=-2
  4. slope=4, y intercept=2
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume b is positive. (b14 b54)23
  1. b136
  2. b524
  3. b
  4. 413b
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression.
9x2+24x+16
  1. (x+4)(9x-1)
  2. (3x+16)(3x+1)
  3. (3x+4)2
  4. (3x+8)2
Grade 10 Absolute Value
Solve for x.

|8+4x|=-12
  1. no solution
  2. -5
  3. 1
  4. 1 or -5
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
The graph below shows a function.
Graph - Quadratic Function y=-1/2x^2
  1. True
  2. False
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
What are the zeros of the function defined by the expression x2+4x-12?
  1. x=-4,3
  2. x=-3,4
  3. x=-2,6
  4. x=-6,2
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Use substitution to solve the system of equations.

y=-4x+11
3x+y=9
  1. (2,3)
  2. (1,7)
  3. (-3,2)
  4. (4,-3)
Grade 10 Sequences and Series CCSS: HSF-IF.A.3, HSF-BF.A.2, HSF-LE.A.2
What is the explicit function of the geometric sequence 3, 4.5, 6.75, ...?
  1. f(n)=1.5f(n-1) where f(1)=3
  2. f(n)=3⋅1.5n-1
  3. f(n)=1.5⋅3n-1
  4. f(n)=3f(n-1) where f(1)=1.5
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
If the domain of the function f(x)=5x2-3 is restricted to the values {2,4,6,8}, what is the range of this function?
  1. ℝ
  2. {17,77,177,317}
  3. {2,4,6,8}
  4. {x∈ℝ∣x≥-3}
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
What is the discriminant of a quadratic equation?
  1. The coefficient of the x-term
  2. The constant term in the equation
  3. The sum of the roots of the equation
  4. The part of the quadratic formula under the square root sign
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Use elimination to solve the system of equations.

x+5y=17
-4x+3y=24
  1. (3,4)
  2. (-3,4)
  3. (12,1)
  4. (3,12)
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for y.
50-y9=y
  1. 509
  2. 3
  3. 9
  4. 5
Grade 10 Linear Equations
How are the lines y=-2x-4 and y=12x best classified?
  1. Parallel
  2. Perpendicular
  3. Neither
  4. Both
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for y.
20y-124y=4
  1. 3
  2. 5
  3. 2
  4. -1
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Which option best describes the transformations of the graph of the function y=2(x-1)2 from the parent function?
  1. Move up one and stretch vertically
  2. Move up one and compress vertically
  3. Move right one and stretch vertically
  4. Move down one and compress vertically
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for t.
14t=50-2t7
  1. 49
  2. 7
  3. 5
  4. 12
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