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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
By factoring the expression 12x2+6x-6, find the zeros of the quadratic function this expression defines.
  1. x=-1,12
  2. x=-34,23
  3. x=-32,13
  4. x=-2,14
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
If x2-16 represents a quadratic function, what would the zeros of this function be? Use factoring to solve.
  1. x=4
  2. x=-4,4
  3. x=-4
  4. x=-2,8
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
x+2y=11
3x-2y=9
  1. (3,2)
  2. (5,3)
  3. (4.5,2)
  4. (12,23)
Grade 10 Logarithms CCSS: HSF-BF.B.5
Write log28=3 in exponential form.
  1. 24=8
  2. 23=8
  3. 22=8
  4. 25=8
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate f(x)=-5x for x=0.
  1. f(0)=-5
  2. f(0)=0
  3. f(0)=5
  4. f(0)=1
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
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 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the function f(x)=3x-2.
  1. f-1(x)=13x+2
  2. f-1(x)=x+2
  3. f-1(x)=x+23
  4. f-1(x)=13x+23
Grade 10 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Multiply. Simplify if possible. 2x25⋅25x3
  1. 2x2+255x3
  2. 2x5125,  x≠0
  3. 10x
  4. x10,  x≠0
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve this system of equations.
4x-2y=8
-5x+3y=9
  1. x=12,y=15
  2. x=21,y=38
  3. x=9,y=8
  4. x=-12,y=-15
Grade 10 Logarithms CCSS: HSF-BF.B.5
23=8 is equivalent to which of the following?
  1. log82=3
  2. log38=2
  3. log28=3
  4. log83=2
Grade 10 Inequalities CCSS: HSA-REI.B.3
Select the solution.
-5≤-2x+3≤7
  1. x≥4orx≤-2
  2. -2≤x≤4
  3. -4≤x≤-2
  4. -4≤x≤2
Grade 10 Polynomials and Rational Expressions
Given: (5x+6)(8x-4)

What is the product of the given?
  1. 13x+2
  2. 40x-24
  3. 40x2+24
  4. 40x2-20x+48x-24
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
If the base of an exponential function is between 0 and 1, what type of function is it?
  1. An exponential growth function.
  2. An exponential decay function.
  3. A linear function.
  4. A quadratic function.
Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c
Which method of solving quadratic equations is used when the equation is not factorable?
  1. Factoring
  2. Completing the square
  3. Quadratic formula
  4. All of the above
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
x - y = 6
3x + 2y = -22
  1. (-2, -8)
  2. (6.8, 0.8)
  3. (2, 8)
  4. (-8,-2)
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
What is the range of the absolute value function pictured below? Assume 1 unit intervals for both axes.
Graph - Absolute Function y=|1/2x|
  1. ℝ
  2. {y∈ℝ∣y≠0}
  3. {y∈ℝ∣y≥0}
  4. {y∈ℝ∣y>0}
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