Algebra
Find this to solve for the slope of a line
What is rise over run?
What famous phrase can you use to find missing side lengths and angles in a right-angled triangle?
What is SOH CAH TOA?
A rectangular backyard has a perimeter of 120 square feet. If the width of the yard is 8 feet, this is the length of a fence needed to completely surround the entire yard.
What is 52 feet?
For the function f(x) = 3x - 5, this is the formula for its inverse function
What is (x+5)/3?
The World Almanac lists this man, born circa 1860, as a botanist, chemurgist & educator
Who was George Washington Carver?
Solve for x:
3x + 7 = 22
What is x = 5?
What is the sum of the interior angles of a square?
What is 360°?
A smartphone battery drops from 100% to 40% over the course of 8 hours. If it drains at a constant rate, this is the percentage of battery life lost each hour
What is 7.5?
the exact value of the logarithmic expression log_2(32) + log_3(1/9).
What is 3?
This ancient Greek theorem relates the sides of a right triangle and an "impossible proof" for it was found by two black teenagers in 2023.
What is the Pythagorean Theorem?
Factor:
x2 - 5x + 6
What is (x -2)(x - 3)?
A right triangle has legs of length 6 and 8
Find the hypotenuse
What is 10?
A local clothing store is having a 25% off sale on all jackets. If a winter coat originally costs $80, this is its sale price before tax.
What is $60?
This is the period of the trigonometric function f(x) = 4sin(3x - pi).
What is 3pi/2?
True or False:
An apple fell on Isaac Newton's head leading to his discoveries in relation to gravity
False!
The apple never fell on his head. He watched it fall in his garden from a distance.
If f(x) = 2x - 3,
find f(f(2))
What is -1?
Which Trig function is equivalent to [1/sin(x+pi/2)]
What is sec(x)
A movie ticket costs $12 and a bucket of popcorn costs $8. You buy 8 items and spend $88, how many buckets of popcorn did you buy?
An arithmetic sequence starts with the numbers 7, 11, and 15. This is the 21st term of this sequence.
What is 87?
This number, e, was named after this mathematician who extensively studied it
Who was Leonhard Euler?
Solve the system of equations:
y = 2x + 1
y = -x +7
What is x = 2, y = 5?
Find cos(π/3) + tan(π/4)
What is (1/2 + 1 = ) 3/2?
A square photo has an area of 169 square centimeters. If you want to place a two-inch wide decorative frame around the outside edge, this is the total perimeter of the photo.
What is 68 centimeters?
These are the x values of all vertical asymptotes for the rational function f(x) = (x^2 - 4)/(x^2 - x - 6).
What is x=3?
Addition is to multiplication as exponentiation is to this.
What is tetration? (Ex. 2^^3 = 16)