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Slope-Intercept
Point-slope
Standard form
Word problems
Vocabulary
100
Write a slope-intercept equation for a line that passes through the point (-3, -11) and has a slope of one half.
What is y = 1/2x - 19/2 or y = .5x - 9.5
100
Write an equation in point-slope form that passes through the point (-10, 12) and has a slope of -2.
What is y - 12 = -2(x + 10).
100
Write an equation in standard form that passes through the point (-8, 0) and has a slope of -4.
What is 4x + y = -32
100
The initial fee of your own web server is $48 and it costs $44 per month to maintain the website. Write an equation that gives the total cost as a function of the number of months in service. Then, find the total cost of running the website for 6 months.
What is y = 44x + 48, (6 months, $312)
100
This type of equation has only a slope, and ALWAYS passes through the origin.
What is direct variation
200
Write a slope-intercept equation for a line that passes through (-2, 8) and (-6, 0)
What is y = 2x + 12
200
Write an equation in point-slope form that passes through the points (4, 5) and (-4, -5) using the first point.
What is y - 5 = 5/4(x - 4)
200
Write an equation in standard form that passes through the points (3, 9) and (1, 1).
What is -4x + y = -3
200
A gym charges $35 per month after paying an initial sign-up fee. A member has paid $250 after the first 6 months. Write an equation that gives the total cost of the gym membership as a function of the length of membership (in months). Then, find the total cost of the membership after 10 total months.
What is y = 35x + 40, (10 months, $390)
200
In a y=ax equation, the slope or "a" represents this.
What is the constant of variation
300
Write an equation for a linear function with the values f(-5) = 9 and f(11) = -39
What is y = -3x - 6
300
During 1999 - 2013, the sales for a company increased at a constant rate of $20,000 per year. In 2011, the annual sales were $257,000. Write an equation that gives the annual sales as a function of years since 1999, Then, find the total sales in 2013.
What is y = 20,000x + 17,000; (14, $297,000)
300
Find the value of the missing coefficient and write the equation in standard form. 2x + By = -4, (-3, 7)
What is 2x + (2/7)y = -4
300
A travel company offers guided rafting trips for $875 for the first 3 days and $235 for each additional day. Write an equation that gives the total cost as a function of the length of the trip. Then, find the cost of a 7 day trip.
What is y = 235x + 170, (7 days, $1815)
300
By naming a function, you can write it using this.
What is function notation
400
A BMX race track charges a membership fee and an entry fee per race. One racer paid a total of $76 after 3 races, and another paid a total of $124 after 7 races. Write a slope-intercept equation that models this situation.
What is y = 12x + 40
400
Write an equation in point-slope form that passes through the points (-3, 5) and (-5, 11) using the first given point.
What is y - 5 = -3(x + 3)
400
Write the equation y - 3 = 4(x + 3) in standard form.
What is -4x + y = 15
400
One bust ride costs $0.75, and one subway ride costs $1.00. A monthly pass can be used for unlimited subway and bus rides, and cost the same as 36 subway rides plus 36 bus rides. Write an equation in standard form that models this situation.
What is 0.75x + y = 63
400
A group of functions that have similar characteristics
What is family of functions
500
A carnival charges $2.50 per ride after an entrance fee. You paid a total of $22.50 after 6 rides. Write an equation that gives the total cost as a function of the number of rides. How much would you pay after riding 15 rides?
What is y = $2.50x + $7.50; (15, $45.00)
500
A bus leaves for a field trip at 10am. The bus is 100 miles from the field trip site at 10:25am. At 11:15am, the bus is 65 miles from the site. The bus is travelling at a constant speed. Write a point-slope equation to model this situation relating distance in miles to time in minutes from 10am. How far is the bus from the site at 11:30am?
What is y - 100 = -7/10(x - 25) or y - 65 = -7/10(x - 75) At 11:30 am the bus is 54.5 miles away (90, 54.5)
500
Write an equation in standard form that passes through the line (-8, -1) and has a slope of 5.
What is -5x + y = 39
500
The cost of sending a single piece of mail is dependent upon the weight and a sending fee. To send 4 pieces of mail costs $1.06. To send 10 pieces of mail costs $2.44. Write an equation that models the cost of sending a piece of mail as a function of its weight.
What is y = 0.23x + 0.14
500
The most basic linear function in the family is called
What is parent linear function