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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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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 Systems of Equations CCSS: HSA-REI.C.6
Which linear system has the solution x=-2 and y=6?
  1. x+3y=16;   4x+4y=16
  2. x+2y=-2;   2x+4y=-4
  3. x+3y=17;   2x+y=15
  4. 2x+y=-2;   x+y=16
Grade 10 Exponents
Simplify.
4x2⋅6x3
  1. 10x5
  2. 24x5
  3. 24x6
  4. 10x6
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for x.
3x4+5x6=x+78
  1. 32
  2. 23
  3. 0
  4. No Solution
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for a.

v2=2a(s-s0)+v20
  1. a=v2-v202(s-s0)
  2. a=(2s-s0v2-v20)
  3. a=v2+v202(s+s0)
  4. a=2v2-v20(s-s0)
Grade 10 Absolute Value
Solve for x.

|x-13|=21
  1. {34, -8}
  2. {34,8}
  3. {-34, -8}
  4. no solution
Grade 10 Absolute Value
Solve the absolute value equation.
|5x+12|=-53
  1. x=8.2,-13
  2. x=-8.2,13
  3. x=415,13
  4. No solution
Grade 10 Linear Equations CCSS: HSA-CED.A.2
What is the equation of a line with a slope of 5 and a y-intercept of 6?
  1. y = 6x + 5
  2. y = x + 5
  3. y = 5x + 6
  4. y = 5 + 6
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume x is positive.

(343x6)13
  1. 21x6
  2. 7x2
  3. 14x2
  4. 7x3
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
When graphing a quadratic function there is always a y-intercept.
  1. True
  2. False
Grade 10 Radicals CCSS: HSN-RN.A.2
Simplify the following expression. √125x3
  1. 5x
  2. 5x3
  3. 5x√5x
  4. 25√5x3
  5. none of these are correct
Grade 10 Linear Equations
Which of the following equations is in slope-intercept form?
  1. y+5=4x+3
  2. 2y+x=-2
  3. y-2=4(x-7)
  4. y=4x+9
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations using substitution or elimination.

8x+3y=-7
7x+2y=-3
  1. (4,13)
  2. (-3,9)
  3. (1,-5)
  4. No Solutions
Grade 10 Quadratic Equations and Expressions
Expand. (2x+4)(2-x)
  1. 8-2x2
  2. 12-2x2
  3. 8x-2x2
  4. 8+2x2
Grade 10 Polynomials and Rational Expressions CCSS: HSA-SSE.A.2
Factor the expression.
x4-y4
  1. (x-y)4
  2. (x2+y2)(x+y)(x-y)
  3. (x2+y2)(x2-y2)
  4. Can't be factored
Grade 10 Quadratic Equations and Expressions
Find the a, b, and c for this quadratic equation.
-6x2-12=0
  1. a=-6,b=0,andc=-12
  2. a=6,b=0,andc=12
  3. a=0,b=12,andc=-6
  4. a=-12,b=-6,andc=0
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