Pythagorean Theorem
If there is a ladder 8 feet away from a wall, and the wall is 6 feet tall, what is the length of the ladder?
The ladder is 10 feet long.
Find the coordinates of the vertex for the quadratic function: f(x)=x2-4x+7
(2, 3)
What is the y-intercept of the exponential function f(x)=5(2)x?
(0, 5)
Find the slope of the linear function that passes through the points (2, 5) and (4, 11).
The slope is 3.
Which NFL team has the most Superbowls?
Patriots & Steelers
A right triangle has a hypotenuse of 5cm and one leg of 3cm. What is the length of the other leg?
The length of the other leg is 4cm
What is the y-intercept of the function: f(x)=-3x2+5x-8
(0, -8)
If f(x) = 4(3)x, find the value of f(2)
f(2)=36
A taxi ride costs a flat fee of $5.00 plus $2.00 for every mile driven. Write a linear equation that represents the total cost y for a ride of x miles.
y=2x+5
Which country has the most world cups?
Brazil
A triangle has legs with lengths of 5 inches and 12 inches. What is the length of the hypotenuse?
The length of the hypotenuse is 13 inches.
Find the x-intercepts of the function by factoring: f(x)=x2-5x+6
x=2 and x=3
A population of 50 bacteria doubles every hour. Write an exponential function to model the population P(t) after t hours.
P(t)=50(2)t
A linear function is defined by the equation f(x)=-4x+9. Find the value of f(3).
f(3)=-3
Which MLB team has the most world series'?
The Yankees
A right triangle has legs with lengths of 7 cm and 9 cm. What is the length of the hypotenuse?
The length of the hypotenuse is √130.
Find the x-intercepts of the function: f(x)=3x2-10x+8
x=4/3 and x=2
An exponential function is written as f(x) = 3(b)x. If the graph passes through the point (2, 48), what is the value of the base b?
b=4
Write the equation of the linear function f(x) in slope-intercept form that passes through the points (-3, 11) and (6, -1).
f(x)=-4/3x+7
What is the most popular sport in the US?
football
The length of the hypotenuse is 3√13 cm.
A parabola f(x) = x2 is shifted 3 units right, 5 units up, and then flipped vertically over its vertex. Write the new function equation in vertex form.
f(x) = -(x - 3)2 + 5
A small town has a population of 2,000 people. The population triples every year. What will the population be after exactly 3 years?
54,000 People
A line passes through (2, 5) and has a slope of 3. If a second line is perpendicular to the first line and passes through (6, 1), what is the y-intercept of the second line?
(0, 3)
What is the least popular sport in the US?
Cricket