Algebra Quadratic Equations Free Sample Questions

About Algebra Quadratic Equation

1. Algebra Quadratic equation is an equation that contains second-degree term and no higher degree
2. Standard form is listed below. In standard form - a, b, c are real numbers. These numbers cannot be zero.

Two easiest way to solve Algebra Quadratic equations

1. Factorization
Ex.
• Write the equation in standard form x²+ 4x -5
• Factor completely. (x+5)(x-1)
• Apply the Zero Product Rule x+5 =0 and x-1 = 0
• Solve the linear equations in step 3. X =-5 and x = -1
• Check
2. Graphic method






























Algebra Quadratic Equations Free Sample Questions

1. Find the vertex.
y=3x²+6x-5
1. (2, 4)
2. (-1,-6)
3. (-4,-8)
4. (-1,-8)
2. Find the vertex.
y=2(x-1)²+3
1. (1, 3)
2. (-1,-4)
3. (-2,6)
4. (1,5)
3. What is the range of the quadratic function = f(x)= x²-3
1. y < − 3
2. y ≥ − 3
3. x ≤ − 3
4. all real numbers
4. The graph of which the following has the vertex of (4,-3)
1. F ( x ) = x ² - 8 x + 13
2. F ( x ) = x² − 8 x + 19
3. F ( x ) = x² + 8 x + 13
4. F ( x ) = x² + 8 x + 19
5. Which equation represents a graph of a quadratic function that passes through the point (2,24) and has a vertex at (-3,-1)?
1. y = ( x − 3 ) ² – 1
2. y = ( x + 3 )² − 1
3. y = ( x − 2 )² + 24
4. y = ( x+ 2)² + 24
6. Which statement describes the graph of y= -2x² +4
1. X- intercept at ( -4,0 ), downward parabola
2. X - intercept at ( 4,0 ), upward parabola
3. Y- intercept at ( 0, 4 ), downward parabola
4. Y- intercept at (0,-4), upward parabola

Answers to Algebra Quadratic Equations Free Sample Questions

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1. D
2. A
3. B
4. A
5. B
6. C