1st Periodic Test Flashcards
Grade 9
Mathematical phrase
Expression
Mathematical sentence
Equation
NO equal sign
Can be evaluated but not solved
Expression
Has an equal sign
Can usually be solved
Equation
Degree of Linear
1
Graph of a quadratic
parabola
Degree of Quadratic
2
Graph of a linear
straight line
Solution for Linear
1
Solution for Quadratic
2
Ax²
Quadratic Term
Bx
Linear Term
C
Constant
Standard form of Quadratic
Ax² + Bx + C = 0
the square root of negative 1.
imaginary number ( i )
Square roots of positive numbers
Perfect Squares
the number that, when multiplied by itself, gives the original number.
square root
√16
± 4
the graph intersects the x-axis twice
two distinct roots
For any real number a and b, if ab = 0, then a = 0 or b = 0; and if either a = 0 or b = 0 then ab = 0.
Zero Product property
To extract square roots of negative numbers, you include
i
the graph intersects the x-axis once
One real root
The nature of the roots of a quadratic equation is determined by the discriminant of the quadratic equation.
The Discriminant of the Equation
the graph does not intersect the x-axis
Imaginary root
16 (perfect square)
two distinct rational roots
0 (zero)
one real root
21 (not a perfect square)
two distinct irrational roots
-10 (a negative number)
imaginary roots
formula for discriminant
b² - 4ac
forrmula for sum of equation
-b / a
formula for product of equation
c/a
quadratic formula
-b ± √b² - 4ac / 2a
completing a square form
ax² + bx = c
