Real World
In a real world word problem, name a key word or phrase that implies a variable must be with the term.
Each, Every, Per
Describe how you find the perimeter of a rectangle.
Add up all the sides, or double each side.
When writing an equation for coin problems, what two things must you multiply together?
The VALUE times the NUMBER OF COINS
What is a key word that would mean to make two expressions equal (=) to each other?
Same, Equal, equivalent to
What inequality does the key word "maximum" indicate?
less than or equal to
Given the formula, 30x + 20, what is the flat fee?
20
If a rectangle has a width of x and a length of 2x - 1, what is the perimeter in terms of x?
6x - 2
Given the equation, what two coins are we talking about in the word problem?
0.05(x) + 0.10(x + 4) = 2.25
Nickels and Dimes
Suppose you are thinking of buying one of two cars. Car A will cost $17,655 and yo will pay $1230 on "up keep" per year. Car B will cost $15,900 and you will pay $1425 on upkeep per year. After how many years will the total cost for the cars the same? Write an equation and find the number of years.
17655 + 1230x = 15900 + 1425x
x = 9 years
Mary wants to order picture frames online. The shipping is $3 and each frame costs $12.50. If Mary has $100 to spend on frames, write and inequality that models the situtation.
12.50x + 3 "less than or equal to " 100
Mary wants to go to an amusement park. It cost $20 to get in, and fifty cents per game tickets. Write an equation, f(g) that expresses how much money Mary will pay at the amusement park.
The width of a rectangle is four more than its length. If the perimeter is 48, write an equation and find the dimensions.
4x + 8 = 48
Jim has quarters and nickels. He has twice as many quarters as nickels. If the value of the coins total $4.40, write and equation to find the number of each coin that Jim has.
0.05(x) + 0.25(2x) = 4.40
Marty starts with $200 dollars in his account and deposits $20 per month. Jillian starts with $450 in her bank account and withdraws $30 per month. At what month will the two have the same amount of money in the bank? Write and equation and find the number of months.
200 + 20m = 450 - 30m
m = 5 months
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, write and inequality to find out how much pet food they need to sell.
5.50b "greater than or equal to" 5225