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Vocabulary
slope/rate of change
Slope-Intercept Form
Writing Equations
Integers and Algebraic Express.
100
In the expression 6x, 6 is called the _______________.
coefficient
100
While collecting turkeys for the annual holiday turkey drive, the class collects 240 turkeys in 8 hours. What is the rate here?
30 turkeys/hour
100
What is the slope of a line given by the equation y = 3x + 8
What is 3
100
Remmi can run at a rate of 8mph. Write the equation that represents the distance(y) that Remmi can run in x hours
y = 8x
100
What is the opposite of -4.5?
4.5
200
the point where a line crosses the y-axis is called the ___________________.
y-intercept
200
The following equation represent the number of gallons of water left in a tank as water is being siphoned out every minute. y = 45 - 4.5x What is the slope in the above equation?
-4.5
200
Write the equation of a line with a slope of -2 and a y-intercept of 5.
What is y = -2x + 5
200
The orange team has collected $400 and will give away $20 each week to their favorite charity. Write an equation that represents the amount of money left (y) after x weeks
y = 400-20x
200
-8 + 15 + 8 + 6 + -15
6
300
The steepness of a line is called its _______________.
slope
300
A line passes through the points (5,30) and (3, 10). What is the slope of the line?
20/2 = 10
300
A line passes through the point (0,2) and has a slope of -0.5. Write the equation of the line in slope-intercept form
y = -0.5x + 2
300
In a race, Mark is given a 25 meter head start and runs at a rate of 6 mph. Write an equation that represents Mark's distance from the start (y) after x hours.
y = 25 + 6x
300
-16 - (-11)
-5
400
When finding the slope between two points on a line, the difference between the y-values is called the _______.
rise
400
What is the slope of the line that passes through these points and written as a decimal. (-2, 8) ( 1, 3)
5/-3 = -1.66666.....
400
The following equation represents the cost of taking a cab from Call A Cab Company where x is the number of miles driven and y is the total cost in dollars. y = 7 + 0.50x If you take a cab from this company for 10 miles, how much will the ride cost?
$12
400
Write an equation in y = mx + b form to represent the following set of coordinates. x y 0 5 2 9 4 13 6 17 8 21
y = 5 + 2x or y = 2x + 5
400
Simplify: -5x + 4x + 8 + 7x
8x + 8
500
When there is a constant rate of change between all the points in a table, the points are said to have this kind of relationship.
linear
500
A new movie theatre is offering memberships to encourage customers. One plan consists of a one time membership payment of $15. The table below represents the cost (y) of seeing x movies. Write an equation that represents this plan. number of movies cost 0 $15 3 $27 6 $39 9 $51
y = 15 + 4x
500
The following points are on a line. What is the equation of the line in slope-intercept form? (0,4) (2, 1)
y = -3/2x + 4
500
Alex is saving money to buy his parents a present. He already has $250 saved and is saving $20/week. Riley has already saved $280 and is saving $15 / week. After how many weeks will the boys have saved the same amount of money?
When will 250 + 20x = 280 + 15x -15x -15x 250 + 5x = 280 -250 -250 5x = 30 x = 6
500
Simplify: 3(2x - 4) + 12 - x
5x