Quadratic Equations flashcards
30 practice cards drawn from the Quadratic Equations lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Quadratic Equations lessons in full →
Solve
x = 3 or x = 6
from “Solving by Factoring”
Solve (x − 2)(x − 5) = 0
x = 2 or x = 5
from “Solving by Factoring”
For , what is ?
33
from “The Quadratic Formula”
For , what is ?
13
from “The Quadratic Formula”
The roots of are and . What is ?
-8
from “The Sum and Product of the Roots”
The roots of are and . What is ?
3
from “The Sum and Product of the Roots”
A quadratic has . How many real roots?
0
from “The Discriminant and the Nature of the Roots”
A quadratic has . How many real roots?
2
from “The Discriminant and the Nature of the Roots”
Is always positive, always negative, or does it change sign?
changes sign
from “Always Positive or Always Negative Quadratics”
Is always positive, always negative, or does it change sign?
always positive
from “Always Positive or Always Negative Quadratics”
? completes the square. What is the missing number?
25
from “Completing the Square”
? completes the square. What is the missing number?
9
from “Completing the Square”
The vertex of
(3, 4)
from “Sketching from Vertex and Factored Form”
Where does y = (x − 5)(x + 6) cross the x-axis?
5 and −6
from “Sketching from Vertex and Factored Form”
Which move turns into the formula?
take from both sides
from “Deriving the Quadratic Formula”
. Over the bottom , what is the right side?
from “Deriving the Quadratic Formula”
A rectangle is x by x + 3 with area 18. What is x?
3
from “Forming Quadratic Equations”
A rectangle is x by x + 3 with area 70. What is x?
7
from “Forming Quadratic Equations”
Solve (x − 3)(x − 6) < 0
3 < x < 6
from “Solving a Quadratic Inequality”
Solve
x < 2 or x > 6
from “Solving a Quadratic Inequality”
and y = 8x − 15 meet where x = 3. What is y there?
9
from “A Linear Equation Paired with a Quadratic”
and y = 7x − 10 meet where x = 5. What is y there?
25
from “A Linear Equation Paired with a Quadratic”
Does y = 2x − 2 meet twice, once, or not at all?
not at all
from “When a Line Meets, Touches or Misses a Curve”
Does y = 4x − 6 meet twice, once, or not at all?
not at all
from “When a Line Meets, Touches or Misses a Curve”
Multiply by x. What do you get?
from “Fractional Equations”
Multiply by x. What do you get?
from “Fractional Equations”
Squaring gives x = 2 or x = 9. Which one holds?
x = 9
from “Solving Equations with a Square Root”
Squaring gives x = 3 or x = 10. Which one holds?
x = 10
from “Solving Equations with a Square Root”
Solve
3 < x < 7
from “Solving a Rational Inequality”
Solve
2 < x < 4
from “Solving a Rational Inequality”