Algebra
If 5x - 10 = 15, then what is x - 2?
3
Find the length of the hypotenuse of a right triangle whose legs measure 6cm and 8cm.
10 cm.
A gym pool starts with 200 active members and increases by 24 new members every month.
Is this a linear or an exponential model?
Linear model
William Shakespeare wrote Hamlet, Romeo and Juliet, Macbeth, and Othello as _____, not books.
Plays
Always true, sometimes true, or never true?
A system of equations, where one is linear and the other is an equation of a circle, will have exactly two solutions.
Sometimes true.
When you graph a line and a circle, they can intersect at 0, 1, or 2 points.
Two Solutions: If the line cuts directly through the circle, it crosses in exactly two places.
One Solution: If the line just barely brushes the side of the circle, it is a tangent line and touches at exactly one point.
Zero solutions: If the line is too far away, it will miss the circle completely.
An angle measures 2π/3 radians. What is its measure in degrees?
120°
A school election poll states that 54% of students plan to vote for Alex, with a margin of error of 3%.
What is the range of the true percentage of students who plan to vote for Alex?
Between 51% and 57%.
What room number are we currently in?
Room 2101
Find the distance between the following points:
(1,3) and (5,0)
5 units
You can use the distance formula, OR you can apply the Pythagorean theorem by finding the vertical and horizontal side lengths and then calculating the length of the hypotenuse.
A circle has a total area of 36π. A sector of this circle has a central angle of 60°. What is the exact area of that specific sector?
6π
(60/360) * (π) * (6)^2
For what value of c does does the quadratic equation x^2 + 4x + c = 0 have exactly one distinct solution.
From yesterday's pink worksheet:
A quadratic has exactly one real solution when its discriminant (b^2 - 4ac) equals 0.
Name 7 soccer players(and their teams) who played in the World Cup.
Answers Vary
A quadratic function has x-intercepts at x = -2 and
x = 8. What is the equation of the axis of symmetry?
x = 3
Find the midpoint between the two x-intercepts to find the axis of symmetry.
Find the distance between -2 and 8: 10 units. Halve it to get 5 units. Now, find the axis of symmetry: x=3.
Solve for x without graphing:
x^2 - 5x = 6
x = -1 and x = 6
You could solve it by factoring or using the quadratic formula.
If 3^(a-b) = 9 and 3^(a+b) = 81,
what is the value of b?
b = 1
Let's see if you've been paying attention. Every day, I make an effort to call you all by your names, but do you know each other's names?
Name every person in this room.
Assuming the usual people are here:
Vana
Alden
Alora
Adrian
Sebastian
David
Robert
Alicia
Olivia
Leif
Miss Cachu