Given the factors, these are the two ways we can multiply them out to get a quadratic equation.
ex. (x+2)(x+3) What do we do?
What is FOIL or use the box method
100
The graph of a quadratic function is a __________.
What is a parabola?
100
The function h(t) = -16t + 300 represents the height of a ball dropped from a starting height of _____ feet.
What is 300 feet.
200
Simplify: 2(9x³ – x⁶ + 2xy) – 6x³
What is 12x³ - 2x⁶ + 4xy
200
Simplify this rational expression [(9x²y)(x⁴y³)]^½
What is 3x³y²
200
The solutions/zeros of a quadratic equation are where y=0, where the graph crosses the __________.
What is the x-axis
200
The graph of an absolute value function looks like a _________
What is a V?
200
The function s = √3x is used to estimate the speed of bicycle travel based on the number of times, x, you turn the pedals in a minute. You are traveling at a speed of 15 mph. How many times did you turn the pedals per minute?
What is 75 times
300
The amount of time it takes to build a road varies inversely with the number of workers building the road. Suppose it takes 50 workers 8 months to build the road. What is the constant of variation?
What is 400
300
Your rate of travel varies inversely with time of travel. The constant of variation (distance traveled) is 95 miles. If your rate of travel is 50 miles per hour. How long does it take you?
What is 1.9 hours
300
If a quadratic equation looks like ax² + bx + c, to factor we need to find number that add up to __ and multiply to __. (choose a letter a, b, c)
What is add up to b and multiply to c
300
This is the graph of which type of function?
What is an exponential function?
300
You are transforming the function f(x)= x+5 by moving it 3 units to the right. (This will change your input value to x+3) What is your new function?
What is f(x+3) = x+8
400
Ariel is babysitting to earn money over the summer. She spends $20 on gas and earns $12 per hour. Write an expression for her average pay per hour.
What is y = (12x - 20)/x
400
You are buying some snacks. You have $25. You buy 3 huge sweet teas for $7 and x bags of chips that cost $3 each. Write an equation that represents this situation.
EXTRA 50: How many bags of chips can you buy?
What is 25 = 3x + 7
x = 6 bags of chips
400
If the factors of your quadratic look like (2x + 4)(x - 3), what is your quadratic function?
EXTRA 50: What are the solutions/zeros of this function?
What is 2x² + x - 12
x = -2 and x = 3
400
This is the graph of which type of function?
What is a sine function?
400
The function h(t) = -16t + 288 represents the height of a ball after being dropped from a height of 288 ft. When is the ball on the ground?
What is t = 18 seconds
500
The sum of two numbers is 10, the sum of their squares is 50. What are the numbers?
What are 4 and 6
500
Looking from above, Sausage St. is modeled by the equation
y = 3x. Biscuit St. is modeled by 14 = y + 4x. What are the coordinates of where these two streets cross?
What is x = 2, y = 6
500
What are the factors of this quadratic equation: x² + 4x + 3
What is (x + 3)(x + 1)
500
All the possible inputs of a function are called the _______. All the possible outputs of a function are called the ______.
What is the domain, range.
500
N(t) = t² - 4t + 12 represents the population of bacteria in a lab sample where t is the temperature of the lab in Celsius. The scientists need to keep the population between 12 and 72. What is the highest temperature we can have in the lab?