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Ninth Grade (Grade 9) Quadratic Equations and Expressions Questions

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Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3b
Complete the square to find the minimum or maximum value.
x2-7x+14
  1. 74
  2. 212
  3. -72
  4. 10
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor:
x2-81
  1. (x+9)(x-9)
  2. (x+9)(x+9)
  3. (x-9)(x-9)
  4. Unfactorable
Grade 9 Quadratic Equations and Expressions
Simplify as much as possible. x+2x2-3=-5x+x2-12
  1. x=0
  2. x=-3
  3. x2=-9
  4. x=6
Grade 9 Quadratic Equations and Expressions
An equation of the form ax2+bx+c=0 where a≠0 is the definition of which term below?
  1. Quadratic Formula
  2. Quadratic
  3. Quadratic Expression
  4. Quadratic Equation
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Use the quadratic formula, x=[-b±(√b2-4ac)2a], to solve x2+9x+14=0.
  1. x = 2, x = -7
  2. x = -2, x = 7
  3. x = 2, x = 7
  4. x = -2, x = -7
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. 9m2-16
  1. (3m-4)(3m-2)
  2. (3m-8)(3m+2)
  3. (3m-4)(3m+4)
  4. (3m-4)(3m-4)
Grade 9 Quadratic Equations and Expressions
When a quadratic equation is graphed, it creates a figure that is called a                .
  1. circle
  2. square
  3. triangle
  4. parabola
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4a, HSF-IF.C.8, HSF-IF.C.8a
If you complete the square for x2-10x=14, what will the factored quadratic be?
  1. (x-5)2=39
  2. (x-5)2=114
  3. (x+5)2=114
  4. (x+5)2=39
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
x2+x-6=0
  1. 4,-1
  2. 3,-2
  3. -6,1
  4. 2,-3
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve for x.
3x2-4=8
  1. x = -1, 1
  2. x = 12
  3. x = 4
  4. x = -2, 2
  5. x = 3
Grade 9 Quadratic Equations and Expressions
Multiply. (2x+7)2
  1. 2x2+7
  2. 4x2+49
  3. 4x2+28x+49
  4. 4x2+14x+49
Grade 9 Quadratic Equations and Expressions
The Difference of Two Squares is two perfect squares separated by a subtraction sign. Which shows the correct factoring of a2-b2?
  1. (a - a)(b - b)
  2. (a + b)(a - b)
  3. (b - a)(a - b)
  4. (a + b)(a + b)
Grade 9 Quadratic Equations and Expressions CCSS: HSA-REI.B.4, HSA-REI.B.4b
Solve using the quadratic formula.
4x2=9
  1. x=±32
  2. x=23
  3. x=±23
  4. x=-32
Grade 9 Quadratic Equations and Expressions
Which expression is equivalent to (2x+3)(x-1)?
  1. 2x2+x-3
  2. 2x2+x+3
  3. 2x2+3x+3
  4. 2x2+3x-3
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor.
x2-2x-24
  1. (x+6)(x-4)
  2. (x-6)(x-4)
  3. (x-6)(x+4)
  4. (x+6)(x+4)
Grade 9 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor the expression. a2-12a+36
  1. (a-6)(a-6)
  2. (12a+1)(-2a+6)
  3. (a+6)(a+6)
  4. (a-12)(a+6)
Grade 9 Quadratic Equations and Expressions
12x-x2=4-2x is equivalent to which of the following?
  1. 212x-4=x2
  2. x2=4x-52
  3. x2-4=212x
  4. x2=212x+4
Grade 9 Quadratic Equations and Expressions CCSS: HSA-APR.A.1
Multiply. (x-5)(2x+4)
  1. -6x
  2. 2x2-20
  3. 2x2-26
  4. 2x2-6x-20
Grade 9 Quadratic Equations and Expressions
If the equation 3x2+6x+k=0 has no real number solutions, which inequality is true?
  1. k<-9
  2. k<-3
  3. k>3
  4. k>9
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