Inequalities, Expressions & Equations
Linear and Proportional, Linear but not Proportional, or Nonlinear?
Goal 1: Represent & Interpret Linear Relationships
Goal 2: Equations of Linear Relationships
Goal 3: Solutions to Linear Equations
100

This is the number of days in 10 leap years

What is 3660

100

This is the type of relationship that is represented by the graph and equation below. 



What is linear but not proportional

100

What are the slope and y-intercept of the line and what do they mean in the context of this relationship? 

100

In the linear equation y = -x + 6  this number represents the slope of the line. 

What is -1 

100

True or False: The point (5, 9) is a solution to the equation of the line shown below. 

What is "False"

200

This is the most simplified version of the expression


3(2x-6)-(x-5)


What is  5x-13 



200

This is the type of relationship that is represented below as a table, graph and equation.

What is linear AND proportional

200

The graph below shows the relationship between the number of comic books that your friend buys at the store and the amount of money they have left.

What is the slope of the line and what does it represent in this situation?  

What is -4, which is the amount that your friend's money decreases by for each comic book that they buy. 

200

This is the equation of the linear relationship whose graph is shown below. 

What is  y = 50 - 2x  

200

Which of the following are solutions to the equation  20 - 4x = 2y

(8, 1)    (1, 8)   (3, 7)    (3, 4)

What are (1,8) and (3,4)

300

This is the solution to the equation 


-(x+3)=2x-6



What is  x=1 

300

This is the type of relationship that is represented by the equation below.


y=x^2+4

What is nonlinear

300

DAILY DOUBLE!!

A Mexican restaurant charges a flat delivery fee. If it costs $18 to deliver 4 tacos and $27 to deliver 7 tacos, then how much would it cost to deliver 20 tacos?

 

What is $66

300

This is the equation of the line that could be drawn to collect all of the coins in this student's Coin Capture challenge.



What is

y=4

300

Fill in the Blanks:

A solution to a linear equation is a pair of values for the variables that, when subsitituted in, make the equation ________.


Each solution to a linear equation is represented as a ________ on the graph of the line. 

What are "true" and "point"

400

This is the solution to the inequality 

12 - 4x>20



What is  x<-2 

400

This is a general form for the equation of ANY linear relationship. It is also called "Slope-Intercept Form"

What is  y=mx+b

400

A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines l , j, m, and d over the course of a month. 

This is the line that represents an artist whose downloads stayed the same over the month.


What is line m

400

DAILY DOUBLE!!

These are the equations of lines s, t, v, and w, which are shown below.

What are:

line s: y = -3

line t: y = 4/3x - 1

line v: x = -4

line w: y = -3/5x + 3

400

These are three combinations of $2-dollar and $5-dollar bills that you could have in your wallet if you have no other money in your wallet and have a total of $68

What are:

4 2-dollar bills and 12 5-dollar bills

2-dollar bills and 10 5-dollar bills

14 2-dollar bills and 8 5-dollar bills

500

Andy and his girlfriend Jane want to buy iPhones. Andy has $215 and can save $35 each week. Jane has $380 and can save $20 each week. When will Andy and Jane have the same amount of money?

What is 11 weeks, which is when both Andy and Jane will have saves $600.

500

The relationship, whose graph is shown below, between the number of days and the number of bunnies counted in a forest. 

What is nonlinear

500

The number of tiles in a pattern grows linearly. The first term of the pattern has 4 tiles and the second term has 10 tiles. Write an equation to represent the relationship between the term number in the pattern and the number of tiles

What is  y = 6x - 2 

500

These are the coordinates of the point where the following two lines intersect on the graph

 y=-4x+3 

y=9x+3

What is (0,3)

500

This is an equation for all the combinations of $3 bags of Takis and $5 bags of Sour Patch Kids that you could buy that would cost exactly $60. 


What is 

3x + 5y = 60