Ratios and Unit Rates
Writing Linear Functions
Graphing Linear Functions and Inequalities
Slope
Linear Functions Word Problems
GRAB BAG
100
Amanda bought 14 pineapples for $55.80. How many pineapples can Allison buy if she has $27.90?
7 pineapples
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
Describe the graph of the following
y ≥ -3x + 9
Shade above and solid line
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
Name two forms of a linear equation
Slope Intercept form
Standard form
100
When is graduation day?
????
200
Ms. Colbert grades 4 class sets of math test in 5 hours. What Ms. Colbert's rate of grading in hours per class set?
1.25 hours per class
200
Write a linear function in standard form where A=2 B=-4 and C=19
2x-4y=19
200
Is there a y-intercept of the graph x = 4, and if so, what is it?
No!
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. If an equation is written in slope intercept form, what is the value of "b" (y-intercept)?
$250
200
Solve the equation for x:
2(x + 3) = 14
x = 4
300
If Mila drives 50 miles in 2 hours, what is her rate (miles per hour).
25 miles per hour.
300
Write the linear function in this graph:
y=20x-15
300
Write the inequality for the following.
y < x - 2
300
What is the slope of the linear function
y = 14
0
300
A video streaming app charges a $9 membership fee and $1.50 for each video stream. Write a linear equation in slope intercept to model this scenario.
y=1.50x + 9
300
Describe the graph and slope of x = 4
vertical , m= undefined
400
Which weighs more?
Apple 150 g
Pear 4.8 oz
(1 oz = 28 g)
The apple
400
Write a linear function that passes through the points (0,2) and (-4,5).
y= 3/4x +2
400
Determine whether the point (2, -5) is a solution to the inequality 3x - y > 12
No, not a solution
400
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
-3
400
A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. How much water is in the tank after 5 minutes.
95 gallons of water
400
Ms. Colbert's Alma Mater
UT Austin
500
Which is better deal $20 for 5 t-shirts or $24 for 8 t-shirts?
$24 for 8 t-shirts (rate of $3 per shirt)
500
Write x-2y=-4 in slope intercept from.
y=0.5x+2
500
Describe the graph of the linear inequality
3x - y < 2
Dotted Line shade above
500
Find the slope of the line perpendicular to the line below.
-2x + 3y = 12
-3/2
500
You are at school, 12 miles away from home. You start walking home with your friends at a speed of 3 miles per hour towards your home.
a.Write an equation that represents your distance from home (y) after (x) hours.
b. How many hours does it take to get home?
a. y = -3x + 12
b. 4
500
When is the last day of this semester?
December 21st