Radical Expressions/Absolute Value
What is the square root of 36? Is it rational or irrational?
6, rational
Complete the square:
x2 - 10x + _________
25
Write out the Quadratic Equation.
See answer key
What part of the quadratic equation is used to find the discriminant?
x2 - 4ac
What is the difference between a linear and quadratic equation? Show examples.
2x + 10 = 4 : Linear
3x2 + 10x + 2 = 0 : quadratic
What is the square root of 60? Is it rational or irrational?
7.75, irrational
Complete the square:
x2 + 100x + ________
2,500
Solve using the Quadratic Equation:
9x2 + 5x - 8 = 0
S = {0.71, -1.26}
What is the discriminant of:
3x2 + 10x + 2 = 0
76
What are the names of Mrs. Callen's 3 kids?
Rush, Cooper, and Emmaline
What is the square root of - 81? Is it rational or irrational?
No value
Complete the square:
x2 - 2.6x + ______
1.69
Solve using the Quadratic Equation:
x2 + 7x - 13 = 0
S = {1.52, -8.52}
What does it mean when the discriminant is negative?
There is no solution
What do you think the shape of the graph of a quadratic equation look like? Think about the vertical motion problems.
parabola
Find the solution set:
l 4x + 19 l = 7
S = {-3, -6.5}
Solve by completing the square:
x2 - 8x + 3 = 0
X = {7.61, 0.39}
Solve using the Quadratic Equation:
5x2 - 13x + 12 = 0
No solution
What is the discriminant of:
2x2 + 6x + 5 = 0
Is it rational or irrational?
176, Irrational
What is the name of the shape of the graph of a quadratic equation?
parabola
Find the solution set:
l 3 + 8x l = -1
No solution
Solve by completing the square:
x2 + 8x + 7 = 27
S = {2, -10}
Solve the equation:
4x + 10 = 0
S = {2.5}
What is the discriminant of:
x2 = 1.8x - 0.81
D = 0
Big guns on naval ships must fire projectiles many kilometers. To do this, the projectile must also go high into the air. Suppose that the initial upward velocity of a projectile is 300 m/sec. Use the formula d = 300t - 5t2 to figure out how long it takes for the missile to reach the target which is at the same level as the projectile fired.
t = 60 s