Linear Relations
More Linear Relations
Rate of Change/Slope
Solving Equations
Power Laws
100

Which one is linear?

C

100

Which is the independent variable in y = 2x + 3?

x

100

The type of slope shown below (pos/neg/zero/undefinded) 

Positive

100

4x = 20

x = 5

100

The big number in a power (Ie. 712)

Base

200

Determine the slope.

The slope is:

m= 4/2

=2

200

Determine the y-intercept:



The Y-intercept is:

b=-1

200

What is the slope of a line whose rise is 14 and run is -2?

-7

200

7x-2 = 40

x=6

200

The simplified form of: (3)(3)(3)(3)

34 (3 to the power of 4)

300

Determine the slope of the following linear relation.

Slope is:

m=  2/2

 =1



300

Denise starts 3m away from the motion sensor and walks 2m/s away.

What is the rate of change of this relation? 

The rate of change represents the speed.

rate of change=2m/s

300

Black forest ham costs $1.20 per 100 grams.  What is the unit rate (cost per gram)?

$0.012/g

300

x/7 - 14 = - 10

x=28

300
Evaluate (3/4)2

9/16

400

Is this relation linear? Explain why/why not.

YES

As x-values increase by 1, y-values(first differences) increase by 3. x=3 is missing but the pattern remains consistent for x=4 and up.

400

The base fee for the cost of a gym membership.


$40

400

A graph has a y-intercept of -5 and crosses the x-axis at (3,0). What is the slope?

-5/3

400

9x - 15 = 9 + 10x

x=-24

400

The positive version of (1/2)-2

2

500

A sand castle shrinks in height by 5cm every hour. The castle started at 50cm and is completely gone after 10 hours.

a)How much did it shrink per hour?

b)What would be the dependent variable for this situation?

a)5cm/hr

b) Height

500

A gym membership charges:

A flat fee of $10 and 3$ per visit.

What is the y-intercept of this linear relation.

$10

500

What is the slope of the line passes though points (2, 7) and (6, -1)?  


-2

500

2/3x + 7 = 13

x=9

500

Simplify (x3/x)2

x4

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