Solving by factoring
Quadratic formula
Solving by taking square roots
Forms
Word Problems
Random Trivia
100
Solve this quadratics by factoring.
x^2+2x=3
x2 + 2x - 3 = 0
= (x-1)(x+3) = 0
x = 1 or x = 3
100
Is this quadratic formula?
Yes
100
What do you have to do to solve quadratics equation by taking square roots after step 1?
Isolate the squared term. Then, you have to take the square roots both sides. After that, solve the square roots to get x alone.
100
What is the y-intercept of the function:
f(x)=4x²+2x-15
y-int: 15
100
A Math 2 class launches a bottle rocket from the top of the bleachers in the football stadium. The following functions represent the height of the rocket as a function of time.
h(t)=-16t²+32t+48; h(t)=-16(t-3)(t+1);-16(t-1)²+64
a) How high are the bleachers the rocket was launched from?
b) What is the maximum height reached by the rocket? When does it reach this height?
c) How long does it take the rocket to hit the ground?
a. 48 feet
b. 64 feet after 1 second
c. 3 seconds after launch
100
How many continents are there?
Double Points - Name them all.
7
North America, South America, Europe, Africa, Asia, Australia, Antarctica
200
Write out the 4 steps to solve a quadratic by factoring.
Step 1. Write the equation in standard form and make sure it is equal to zero!
Step 2. Factor completely.
Step 3. Use the zero product property.
Step 4. Solve each factor to get the x.
200
Solve
x^2+4x-21=0
by using quadratic formula.
x=-7 or 3
200
Solve this equation by taking square roots.
x²+1=26
x²=25
x=-5, 5
200
What is the vertex of the function:
g(x) = 3(x - 5)²+2
Vertex: (5, 2)
200
The graph below shows the relationship between the height of a rocket and the time after it was launched.
a. What was the maximum height reached by the rocket?
b. How long was the rocket in the air?
c. How long did the height increase?
a. 250 feet
b. Approximately 7 seconds
c. Approximately 3 seconds
200
What is the official name of the # symbol? Note: It isn't hashtag.
Pound or Octothorpe
300
Solve this quadratic equation by factoring.
x^2+16=10x
x2 - 10x + 16 =0
(x-2)(x-8)
x = 2 or x = 8
300
Solve
x^2-4x+5=0
using the quadratic formula.
x=2+-i
300
Solve this equation by taking square roots.
(x-4)²-16=0
x= 0, 8
300
What is the direction of opening of the function:
h(x)=-4(x-5)(x+7)
Concave Down
300
Find two consecutive even integers whose product is 224.
14 and 16
300
Which state is directly south of Virginia?
North Carolina
400
Solve this quadratics equation by factoring.
x^2+7x+15=5
(x+2)(x+5)=0
x= -2 and x = -5
400
Solve
25x^2-20x=-13
by using quadratic formula.
x=(2+-3i)/5
400
Solve for x using the square root method.
2x^2+10=210
x=-10, 10
400
What is the y-intercept of the function:
k(x)=5(x - 9)²+14
y-int: 419
400
Highway safety engineers can use the formula d=0.05s²+1.1s to estimate the minimum stopping distance d in feet for a vehicle traveling s miles per hour. If a car is able to stop after 125 feet, what is the fastest it could have been traveling when the driver first applied the brakes?
Approximately 40 miles per hour
400
Which galaxy is closest to our own - the Milky Way - and will collide with us in about 4.5 billion years?
The Andromeda Galaxy
500
Solve:
77x^2-5x-12=0
x = -4/11, 3/7
500
Solve:
x^2-22x+211=0
x=11+-3isqrt(10)
500
Solve:
4x²-15=27
x=+-sqrt(42)
500
What is the vertex of the function:
j(x)=x²-6x+26
Vertex: (6, 26)
500
Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time can be modeled by the function
h(t)=-16t^2+16t+480
, where t is the time in seconds and h is the height in feet. What height is Jason after 5 seconds has passed?
160 feet
500
What is the highest grossing media franchise of all time?
A media franchise is a collection of related media, including merchandise, in which several derivative works have been produced from an original work of fiction, such as a book, film, television series, video game, etc.
For example, Minecraft is a media franchise.
Pokémon - Estimated between 88 billion dollars and 150 billion dollars since 1996