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Tenth Grade (Grade 10) Quadratic Equations and Expressions Questions

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Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
(4x+5)(3x-7)=0
  1. x=54,73
  2. x=-54,-74
  3. x=-54,73
  4. x=54,-73
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
6x2=332
  1. ±12
  2. ±14
  3. ±18
  4. ±116
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve by factoring or by using the Quadratic Formula.
x2+45x+200=0
  1. x=-5,-40
  2. x=5,40
  3. x=-100,-2
  4. x=2,100
Grade 10 Quadratic Equations and Expressions
Find the discriminant and how many roots plus the type of roots for the equation.
3x2+7x-17=0
  1. 253, 2 rational roots
  2. 253, 2 irrational roots
  3. -155, 2 complex roots
  4. 0, 1 rational root
Grade 10 Quadratic Equations and Expressions
Complete the square and put in vertex form.
y=x2-10x+22
  1. y=(x-11)2+5
  2. y=(x-5)2-3
  3. y=(x+5)2-3
  4. y=(x-5)2+3
Grade 10 Quadratic Equations and Expressions
Find the roots. y=(x-6)(2x-4)
  1. 2 and 6
  2. 6 and 4
  3. 4 and 3
  4. -4 and -2
Grade 10 Quadratic Equations and Expressions CCSS: HSN-CN.C.7, HSA-REI.B.4, HSA-REI.B.4b
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. 2x2-9x+9
  1. (x-3)(2x-3)
  2. (3)(2x-3)
  3. (x-6)(2x)
  4. (x+3)(x-3)
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Use the Quadratic Formula to solve.
8x2+2x-1=0
  1. 14,-12
  2. 14,12
  3. -14,-12
  4. -14,12
Grade 10 Quadratic Equations and Expressions CCSS: HSF-BF.B.3
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 144x2-625.
  1. (12x+25)(12x+25)
  2. (12x-25)(12x-25)
  3. (12x+25i)(12x-25i)
  4. (12x+25)(12x-25)
Grade 10 Quadratic Equations and Expressions
What is the vertex of the following equation? Also, is this a minimum or maximum?
y=3x2+24x+57
  1. (-4,9), minimum
  2. (4,9), maximum
  3. (0,57), minimum
  4. (-12,87), minimum
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 6m2+12m-144 completely. Find the GCF first, if possible.
  1. 2(m+6)(m-4)
  2. 6(m+6)(m-4)
  3. 3(m+6)(m-4)
  4. 4(m+6)(m-4)
Grade 10 Quadratic Equations and Expressions
The quadratic function f(x)=x2 has
  1. no zeros.
  2. exactly one zero.
  3. exactly two zeros.
  4. more than two zeros.
Grade 10 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve the quadratic equation x2-256=0.
  1. x=±16
  2. x=16
  3. x=-16
  4. None of the above
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 2x2-7x-72 completely.
  1. (2x+9)(x-8)
  2. (2x-9)(x-8)
  3. (2x+9)(x+8)
  4. 2x-9)(x+8)
Grade 10 Quadratic Equations and Expressions
Which method is not a method we could use to solve x2+3x-5=0?
  1. Graphing
  2. Quadratic Formula
  3. Factoring
  4. Isolating the variable
Grade 10 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply: (x+8)(x-8)
  1. x2+64x-64
  2. x2+16x-64
  3. 2x+64
  4. x2-64
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the polynomial 5x2+28x+15 completely.
  1. (5x-3)(x-5)
  2. (5x+3)(x+5)
  3. (5x+3)(x-5)
  4. (5x-3)(x+5)
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