Writing Equations From Word Problems
Alexa would like to join a Ballerina Dance Club. She needs to pay $20.00 for the entrance fee. She will also have to pay $25 per month. Write an equation indicating the total cost.
y=25x+20
Brenda earns $8 for each hour of babysitting, plus an additional 5 dollars for her drive to the job. Write an equation that shows the relationship between the time spent babysitting x and the amount earned y.
y=8x+5
Write the slope-intercept form of the equation.
m = 4 (7, 0)
y=4x-28
Write the slope-intercept form of the equation that passes through : (0, −2) and (3, 0)
y=2/3x-2
What is the slope of the line y=3x-5?
3
Your parents have put $60 in your Itunes account. They asked you to take care of this money and budget $10 per week to spend on digital music. Write an equation that will show the amount deducted from your account each week.
y=-10x+60
Dalton has already written 3 pages, and he expects to write 1 page for every additional hour spent writing. Write an equation that shows the relationship between the hours spent writing x and the total pages written y.
y = x +3
Write the slope-intercept form of the equation.
m = 2 (5, -2)
y=2x-10
Write the slope-intercept form of the equation that passes through (0, −1) and (−2, −2)
y=1/2x-1
What is the slope of the line
y=-2/3x+7
-2/3
A Cellphone company would like to run a promotion for a limited time. The Cellphone company is activating a phone line for $40.00. People will have to pay $50.00 each month for phone service. Write an equation indicating the total cost.
y=50x+40
When ringing up a customer, a cashier needs 7 seconds to process payment as well as 2 seconds to scan each item being purchased. Write an equation that shows the relationship between the items being purchased x and the time y.
y = 2x +7
Write the slope-intercept form of the equation.
m = -2 (3, 5)
y=-2x+11
Write the slope-intercept form of the equation that passes through (5, 3) and (−1, 5)
y=-1/3x+14/3
What is the slope of the line that passes through the points (2,13) and (1,8)?
5
Students will be going to the zoo on a field trip. The entrance fee is $6.00 and you will be able to purchase drinks or food items for $2.00 each. Write an equation indicating the total cost of going to the zoo.
y=2x+6
Braden already knew 5 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks x and the number of appetizer recipes y.
y = 2x + 5
Write the slope-intercept form of the equation.
m = -1 (4, -3)
y=-1x+1
Write the slope-intercept form of the equation that passes through (−3, 5) and (0, −4)
y = −3x − 4
What is the slope of the line that passes through the points (2,7) and (0, 1)?
3
Robert would like to join a Skating Park Club. He will have to pay $10.00 for the entrance fee and $15.00 for each month. Write an equation indicating the total cost.
y=15x+10
The DJ for your party charges 500 up front and $50/hr after that. How much do you pay for 4 hours?
700 bucks
Write the slope-intercept form of the equation.
m =
1/4
(-3, -2)
y=1/4x-5/4
Write the slope-intercept form of the equation that passes through (−4, 4) and (4, 5)
y = 1 /8 x + 9/ 2
What is the slope of the line that passes through the points (2,0) and (0,3) ?
-1/2