WorksheetsQuadratic Equations
Total questions: 15
Worksheet time: 20mins
Solve the equation by factorizing:
x2 - 11x +19 = -5
x = {3,8}
x = {-3,8}
x = {3,-8}
x = {-3,-8}
What number added would make a perfect square trinomial?
x2 - 8x + ______
- 4
- 64
12
16
What should you do first in solving this equation?
x2 + 6x - 13 = 3
Write down: a=1, b=6, c=-13
Get factored form
Make it equal 0 by subtracting 3 on each side
Type it all in a calculator
Complete the Square
x2 + 6x + 20
(x + 3x)2 + 11
(x + 3)2 + 11
(x + 6)2 + 11
(x + 3)2 + 29
What is the green dashed line called?
roots or x-intercepts
parabola
axis of symmetry
y intercept
What is the axis of symmetry for this graph?
y = 2
x = 0
x = 2
y = 0
A parabola is upside-down when a is:
negative
positive
0
infinite
What is the significance of the ordered pair (0, -2) to the graph?
It is the vertex
It is an x-intercept
It is the y-intercept
It is the axis of symmetry
A parabola has a vertex at (-3,2).
What is the axis of symmetry?
y = -2
x = 3
x = -3
y = 2
What is the equation for standard form?
y = x2 + bx + c
y = ax2 + bx + c
y = mx + b
Ax + By = C
Does this graph have any roots?
yes
no
I am not sure
Does this graph have a maximum or a minimum?
maximum
minimum
I am not sure.
neither
Use the discriminant to find the number of solutions for the following equation.
y = -3x2 +5x - 8
2 solutions
0 solutions
1 solution
Which value is the vertex?
(-4, 0)
(-1, -9)
(0, -8)
(2, 0)
What are the coordinates of the minimum point of the equation
y = (x + 3)2 - 5
( 3, -5 )
( -3, -5 )
( -3, 5 )
( -5, 3 )
