Functions 1
Functions 2
Number, Quantities, Equations, Expressions
Statistics
Random
100

A fitness club charges members an initial fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership. 

f(x) = 30x +25

What does the number 30 represent in this situation?

What is the monthly membership fee?

100

A scientist studies the population of an insect colony. She begins her study with 10,000 insects in the colony and measures the population of the colony each year. She uses the given formula to model the insect population, P, t years since the beginning of the study. 

f(x) = 10,000(1.08)t

By what percent does the insect population grow each year?

What is 8%?

100

An equation is shown.

16x+ 10x - 27 = -6x + 5

What are the solutions to this equations? (x values only)


What is x = 1 and x = -2?

100

Alton studies the growth patterns of sassafras trees and yellow birch trees in the 88 counties in Ohio. He finds that

  • approximately 27% of the counties have both species of trees,

  • yellow birch only grows in 24 counties, and

  • 1 out of 11 counties grows neither species.

Complete a two-way frequency table to show the relationship between the number of counties where sassafras trees and yellow birch trees grow.


100

Review slide 8

What is the maximum is 3?

200

Review Slide 1

What is B?

200

The values of several terms in a sequence are shown.

f(2) = 5

f(4) = 12

f(7) = 22.5

What is the first term, f(1)?

What is f(1) = 1.5

200

Stephanie adds pennies, nickels and quarters to a scale until the mass of the combined coins is 75 grams. Each penny has a mass of 2.5 grams, each nickel has a mass of 5 grams and each quarter has a mass of 5.7 grams.

Create an equation to model this situation, where x is the number of pennies, y is the number of nickels and z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly 75 grams.

What is ?

200

Review Slide 5

What is choice A?

200

Review slide 9

What is choice B?

300

A store sells two different-sized laptops, 11-inch and 17-inch. The amount of profit, f, in dollars, a store earns from selling n 11-inch laptops can be modeled by the function  The amount of profit the store earns from selling 17-inch laptops is modeled by a linear function with the coordinate points (2, 240), (4, 480), (7, 840).

What is the difference, in dollars, in the amount of profit a store earns from selling a single 17-inch laptop and a single 11-inch laptop?

What is $25.00?

300

What two numbers have a sum of 217 and a difference of 85?

What is 151 and 66?

300

Review Slide 4

What is changing the price of $1.25 to $1.95 and the division of 4 to a 6?

300

Review slide 6

What is B. y= 2x + 20?

300

A function is given.

f(x) = 4x - 8

What is the input of the function when the output is 20?

What is x (input) = 7?

400

A linear function given.

a(x) = 26-12.4x

The function b is also linear. The equation a(x) = b(x) has exactly one solution at x=5.

Create a possible equation for function b.

What is b(x) = (-36/5)x?

Or any linear equation that:

is not equivalent to a(x)

has an x-coefficient other than -12.4

has (5, -36) as a solution

400

Review Slide 2

What is C?

400

An equation is given.

y = 3x + c

Create an equivalent equation by solving for x in terms of y and c.

What is ?

400

Review slide 7

What is...

When the outlier is included in each data set, Will’s data set has the lower average car price, or, When the outlier is included in each data set, Noah’s data set has the higher average car price.

When the outlier is removed from each data set, Noah’s data set has the lower average car price, or, When the outlier is removed from each data set, Will’s data set has the higher average car price.

400

Michelle holds a small rock in her hand.

Density (D) can be found using the formula D= mass/volume

Which unit would be the most appropriate for calculating the density of the rock in Michelle's hand?

A. lb/mm3     C. kg/m3

B. g/cm3       D. ton/m3



What is B. g/cm?

500

The first four terms of an arithmetic sequence are given.

27,   32,   37,   42,   . . .

What is the 60th term of the sequence?

What is f(60) = 322?

500

Review Slide 3

What is A. all real numbers from 0 to 18?

500

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys. 

p + g = 2.5

1.58p + 1.09g = 3.46

What is the total number of pounds of peaches and grapefruit that Juan buys?

What is 2.5 pounds?

500

Which statistical measure changes when every number in a data set is increased by 10?

What is B. Mean?

500

Review slide 10

What is choice D?