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Vocabulary
Rate of Change
Slope & Y-intercept
Table, Graph, Equation
Real World Situations
100
A ratio of the amount of change in the dependent variable, or output, to the amount of change in the independent variable, or the input.
What is Rate of Change.
100
What is the rate of change between (1, 0), (3, 120), and (5, 240)?
What is 60/1.
100
Find the slope if A(-2,4) and B(6,-8).
What is -3.
100
Find two points on the line with the equation y=2x-1 by making a table.
What is answers will vary, one example is (0, -1) and (1, 1).
100
You have purchased a car for $1500.00 with a down payment of $250.00. Your monthly payment is $125.00. How many months will it take you to pay off the car?
What is 10 months.
200
A constant rate of change is called the ______ of a line.
What is slope.
200
What is the rate of change between (2, 7), (4, 11), and (6, 15)?
What is 4/2 or 2/1.
200
When y = -2x + 8, what is the slope and y-intercept?
What is m = -2 and b = 8.
200
Graph the line y = -2x + 6.
What is m = -2/1 and b = 6.
200
Lucy has $20 to spend on dog bones. She already spent $5 on a new toy. If each dog treat costs $0.50, how many dog treats can she afford to buy?
What is 20 = 0.50x + 5, so x = 30 dog treats.
300
The formula for slope of a line.
What is m = (y2 - y1)/(x2 - x1).
300
Give the missing x-value so the ordered pairs (x, 18) and (3, 36) has a rate of change of 3.
What is -3.
300
When y = -x, what is the slope and y-intercept?
What is m = -1 and b = 0.
300
Write the equation for the line that passes through the points (0, -7) and (5, -5).
What is y = (2/5)x - 7.
300
You are going to the school dance and it will cost $75 for dinner and $30 for tickets. You plan to save $10 a week. Write an equation y = mx + b. Where x is the number of weeks and y is the money saved. How many weeks until you have enough money to go to the dance?
What is y = 10x + 0. It will take 11 weeks to save with $5 extra spending money.
400
The y-coordinate of the point where a graph of a line crosses the y-axis.
What is the y-intercept.
400
Tyler earns $15 for mowing 1 lawn, $30 for mowing 2 lawns, $48 for mowing 3 lawns, and $64 for mowing 4 lawns. Is there a constant rate of change? Why or why not?
What is no, the ratio of the difference in the amount earned and the lawns mowed is not a constant amount.
400
If m = 1/4 and b = 5, find a coordinate pair which exists on the same line.
What is (-4, 4) or (4, 6) or (8, 7) or (12, 8).
400
Write the equation for the line that passes through the points (0, -1) and (3, -2).
What is y = (-1/3)x - 1.
400
A fitness club charges $40 to join plus $10 per month. If Jason has $180 to spend, how many months can he afford to pay for in advance?
What is 180 = 10x + 40, so x = 14 months.
500
An equation whose solutions are ordered pairs that form a line when graphed on a coordinate plane.
What is a Linear Equation.
500
Susan earns $15 for 2 hours of babysitting and $30 for 4 hours. Is there a constant rate of change? Why or why not?
What is yes, she earns a constant rate of $7.50 per hour.
500
When b = -4 and m = -2/3, write the equation of the line in slope intercept form.
What is y = (-2/3)x - 4.
500
Write the equation for the line that passes through the points (0, 0) and (-5, -5).
What is y = x.
500
You plan to buy a car for $2500. You have $500 in savings and plan to save $50 per month. Write an equation for the amount saved (y) and the number of months (x). How long will you need to save until you have enough to buy the car?
What is y = 50x + 500, x = 40 months.