SAT Math Jeopardy Game

Algebra

100

If 5x - 10 = 15, then what is x - 2?

3

200

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.

300

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.

400

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. 

Geometry and Trig.

100

Find the length of the hypotenuse of a right triangle whose legs measure 6cm and 8cm.

10 cm.

200

An angle measures 2π/3 radians. What is its measure in degrees?

120°

300

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

400

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.

Data Analysis & Advanced Math

100

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

• Linear Model: The pool grows by a set number of people each month. This is like climbing stairs with even steps. The growth is steady and straight.
• Exponential Model: The pool grows by a percent or multiplier. 

200

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%.

300

For what value of c does does the quadratic equation x^2 + 4x + c = 0 have exactly one distinct solution.

c = 4

From yesterday's pink worksheet:

A quadratic has exactly one real solution when its discriminant (b^2 - 4ac) equals 0.

400

If 3^(a-b) = 9 and 3^(a+b) = 81, 

what is the value of b?

b = 1

Miscellaneous

100

William Shakespeare wrote Hamlet, Romeo and Juliet, Macbeth, and Othello as _____, not books.

Plays

200

What room number are we currently in?

Room 2101

300

Name 7 soccer players(and their teams) who played in the World Cup.

Answers Vary

400

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