Slope
Identify the slope of the following equation:
y = 5x + 10
5 or 5/1
What is the y-intercept for the following equation?
y = 5x + .25
.25
Solve for x:
2x + 5 = 15
x = 5
Solve for w:
w + 10 = 2w + 4
w = 6
Write an equation/inequality to represent the following scenario:
Taxi Company A charges a fee of $2.25 for a taxi ride and $0.20 per mile for each mile driven. Taxi Company B charges a fee of $1.50 for a taxi ride and $0.25 per mile for each mile drive. After how many miles, m, will Company B be more expensive than Company A.
0.20x + 2.25 < 0.25x 1.50
What is the slope of a line containing the points
(-5, 5) and (100, -78)
73/105
Which value represents the y-intercept?
(-6, -5), (-4, -4), (-2,-3), (0, -2)
-2
Solve for g:
10g - 12 = 58
g = 7
Solve for h:
5h + 5 = -2h + 54
h = 7
Write an equation that represents the following scenario:
Marc has $19 dollars and is saving $3 dollars per week. Paoli has $7 dollars and is saving $5 dollars per week. How many weeks will it take Marc and Paoli to have the same amount of dollars.?
3x + 19 = 5x + 7
What would the slope be in an equation represented by this scenario:
Daniel works as a volunteer in a homeless shelter. So far, he has worked 22 hours, and he plans to continue working 3 hours per week.
The slope is 3. It means that every week, he works for 3 hours.
Identify the y-intercept of the equation represented by the following scenario and explain what it means:
The Johnsons are putting new carpet in their home. Installation is $300 and the carpeting costs $4 per square foot.
The y-intercept is 300 and it is the cost for installation.
Solve for r:
-4r - 25 = 75
r = -25
Solve for x:
10x + 55 = 7x +13
x = -14
Write an equation that represents the following scenario:
Stephen belongs to a movie club in which he pays an annual fee of $30 and then rents DVDs for $0.99 each. Katy belongs to a movie club and pays no annual fee, only the price to rent DVD's, which cost $2.59 each. How many DVD's, x, must Stephen and Katy rent for Stephen's total cost for the year to be less than Katy's?
30 + .99x < 2.49x
What would the slope be for an equation that represents this scenario and what does it represent:
A school orders 25 desks for each classroom, plus 30 spare desks.
The slope is 25. It means that 25 desks were ordered for each classroom.
Identify the y - intercept of the equation represented by the following scenario, then, explain what it means:
A home improvement warehouse charges a $60 delivery fee. A customer wants to purchase a number of pieces of lumber that cost $5 a piece.
The y-intercept is 60 and it represents the delivery fee.
Solve for d:
15d - 5 + 17d = 91
d = 3
Solve for p:
25p - 10 = 11p - 38
p = -2
Write an equation that represents the following scenario and solve:
Laura and Daisy are on a two-day hike in the Smoky Mountains. Laura hiked 8 miles on the first day and is hiking at a rate of 3 mi/h on the second day. Daisy hiked 4 miles on the first day and is hiking at a rate of 5 mi/h on the second day. How many hours, h will it take Laura and Daisy to hike the same number of miles?
3h + 8 = 5h + 4
h = 2
What would the slope be of an equation that represents the following scenario and what does it mean:
Jaime purchased a $20 bus pass. Each time she rides the bus, $1.25 is deducted from the pass.
The slope is -1.25. It means that $1.25 is deducted from the pass each time she rides the bus.
Identify the y-intercept of an equation represented by the following scenario, then, explain what it means:
A pizzeria charges $8 for a large cheese pizza, plus $2 for each topping.
The y-intercept is 8 and it represents the cost for a plain cheese pizza.
Solve for c:
10c - 7c + 55 = 13
c = -14
Solve for k:
5k + 12 - 2k + 2 = 3k - 10
No Solution
Write an equation that represents the following scenario and SOLVE:
The Johnsons are putting new carpet in their home. Joey's Installation cost $300 and $4 per square foot for carpeting materials. Magic Carpet installation costs $500 and $2 per square foot for carpeting materials. How many square foot of carpeting, s, will be needed for Joey's Carpet and Magic Carpet total cost to be the same.
4s + 300 = 2s + 500
s = 100