Functions & Equations Additional

Use a Computer Based Laboratory (CBL) device to investigate how the gas pressure changes with the volume.

Use a Computer Based Laboratory (CBL) device to investigate what happens to the temperature of a cup of hot water while time is passing.

Determine how fast a bus was traveling during two hours of time.

Determine the structure of a telephone tree used by eighth graders in Jefferson County who offered to help when the river flooded their town.

Help Minerva sort out her charges from the school library.

What is the fewest number of years until an investment doubles in value?

Find a number that fits the description.

Find the largest possible value of a given expression.

What will the machine give me if I put in 100?

Determine how much a pail and nails weigh.

Determine the distance between two points.

How much money did Karen have before she found the $2?

Determine what each question is worth on a television game show.

How many more legs than seats are in the leftover Seats ‘R’ Us factory inventory?

In a mathematics contest, how many of your team’s answers were incorrect and how many problems were unanswered?

Determine the distance and time required for Amel to overtake Bonne, Amel’s younger brother.

When will Parneshia’s bank have twice as much money as John’s?

Given the sum of two positive integers, determine the smallest possible sum of their reciprocals.

Determine which algebraic expression is greater.

Find an equation that will compare speed units of miles per hour to kilometers per hour.

What type of function (linear, quadratic, or exponential) would you create to describe the cost of the pizza vs. the number of toppings?

Make a false equation correct by alternating the “punctuation” on the left side of the equation.

Explore the world of Heron triangles – triangles with sides of integral length and integral area.

Examine graphs of y=x2 + bx + 6, where b is any real number.

Find four equations whose graphs are oblique (slanted) lines that will intersect to form the vertices of a square.

Describe any patterns you find when comparing a function to its reciprocal function.

When is a function in the form y=abx increasing or decreasing?

Describe the symmetry of a function.

Given a set number of points on the coordinate plane, how many lines or parabolas can you make through these points?

What happens when two equations in the form y = mx + b are set equal to each other?

Discover what happens to the graph when you vary the values for n and b in the equation g(n) = n2 + b.

Use a system of equations to determine the fractional form of a repeating decimal.

Find a number such that its square is between two given numbers.

What is the largest number of solutions possible in a given system of equations?

How many years will it take Sally to have as much money as Judy?

Determine how much money a company should charge for a burglar alarm system.

Discover what happens to the graph when you vary the values for m and b in the equation y = mx + b.

Find an equation which relates the angles formed by intersecting lines and points reflected over these lines.

Find an equation that relates the area of a kite to its diagonals.

Find an equation to relate chords of a circle.