Put Your Calculators Away

The Rules

Put your calculators away. Grab some scratch paper. Divide into two teams of two players. Red vs. Black Introduce yourselves. Flip a coin (or Roshambo) to see who goes first.

Team-1 picks a problem. All players try to solve it. If all players agree that Team-1 has the correct answer, he/she writes the answer in the square and draws a big X in the square.

If they disagree: Each player/team must explain to the others why their answer is correct. If all players eventually agree on a single answer then the player with the correct answer writes the answer in the square draws their symbol in the square. If the players cannot agree, their answers are checked against the answer key. The player with the correct answer draws their symbol in the square. If neither has the correct answer, the square is left untouched.

It is now Team-2's turn.

Team-2 picks a problem. All players try to solve it. If both players agree that Team-2 has the correct answer, he/she places an O in the square.

Every problem on the current page must be attempted before continuing on to another sheet even if one team has achieved tic-tac-toe.

A player may retry a previously unsuccessful problem when it is their turn.

Once a sheet is completed, switch partners and begin anew with the next sheet.

Simplify: Simplify: Simplify:

= = (x3)5 (y0)0 (23 3)2 =

Simplify: Simplify: Simplify:

2 2 = (ln e ) = log10 1,000 =

Simplify: Multiply and Simplify: Multiply and Simplify:

= (a + b)2 = (a – b)3 =

Give the Quadratic Solve: Solve: Formula:

a·x2 + b·x + c = 0 x2 + 6 = 5x x3 + x2 = x + 1

x = ? x = ? x = ?

Solve: Solve and Simplify: Simplify to a single fraction: = = 1 + A = A = B = A =

Solve: Solve: Solve: x + y – z = 1 3x + 4y = 1 x – 2y = 0 x – y + z = 2 x – 2y = 17 y + 3 = x x + 2y – z = 3

Give the Give the slope-intercept point-slope Graph: equation of the line equation of the line shown: shown: 3x + 4y = 12

A 6x – 5y = 30 (a,b) (p,q)

Find the line perpendicular to Graph Graph:

3x + 4y = 12 y = (x + a)(x – b) x2 + y2 = 9 and passing through and label and label x & y intercepts x & y intercepts (6,9)

Where do Where do

Find a parabola 3x + 4y = 12 x2 + y2 = 1 passing through: & & y = 1 – x2 y = x2 – 1 (1,0), (0,1), (-2,0)

intersect? intersect?

Give the equation Give the equation Give the equation for this parabola: for a circle for a circle

through: centered at (a, b)

(1,0), (0,1), (0,0) with radius r:

Using this labeled diagram give the formula for: Line A: y = x + 7 f(x) = x2 + 1 g(x) = The Pythagorean Give the equation for the Theorem line perpendicular to Line f(g(x + 1)) = A and passing through the origin.

x(t) = 3t + 2 Draw the graph of Draw the graph of y(t) = t2

y = y(t) = | t − 1 | y(x) =

Give the ratio for sin (θ) Give the ratio for cos (θ) Give the ratio for tan (θ)

Draw the graph of Draw the graph of Draw the graph of

y = sin (t) y = cos (t) y = tan (t)

0 ≤ t ≤ 2π 0 ≤ t ≤ 2π − ½π < t < ½π

Simplify Arcsin[f(x)]

f(x) = Give the formula for: Give the formula for:

Law of Cosines Law of Sines

Find the area: Find x: Find the distance between these points:

(10,8) x 12 ft 10 ft 10 ft 7 ft 5 ft

(2,-6)

f(x) = x + x2 Graph: f(x) =

f(x + 1) = Give the domain of f(x) ( )2 + ( )2 = 1

Find the equation for the Give F Find the length of the parabola shown: as a function of θ & m. circle c: N

45° c  L

4,000 mi 2 equator m

3 F mg S

What is the area Find the area of a What is the volume of this Circle that travels of this Trapezoid? one meter per revolution? sphere tucked in a 1m x 1m x 1m cube? c b 1 m d e a

Use set notation to describe: What are the

Simplify to one term Domain & Range?

3ln 2x - ln 8x2 (1,1)

Factor: Factor: Solve:

x2 + 5xy + 6y2 25x2 – 9y2 12 – 5 =

Given f(x) = 3x2 − 2x + 1 Given Given g(x) = 3x + 2 h(x) = Find k(x) = x2 − 3 Find f(t) = Find g -1(t) = f(-3) = h(k(t)) =

Given f(x) = 3x2 − 2x + 1

Solve f(x) = 2

Q(0) = Find x such that Q(x) = 3

Q(7) =

Give the asymptote(s) for

y = , x > 0

Give the set of x such Find C(C(2)) = that Q(x) is decreasing

Sketch the graph of Sketch the graph of y = ex y = ln (x) Give the domain Label all intercepts and Label all intercepts and and range asymptotes. asymptotes. of y = ex

This is the graph of f(x). -1 2 Draw the graph of f (x). Given f(x) = x y Give the domain and  range of  2 3 simplify f (x )  y = ln (x)

        











Given f(x) what will the Given f(x) what will the Given f(x) what will the graph of f(x) – 2 graph of f(x – 2) graph of ½ f(x) look like? look like? look like?