Your bank account has a balance of $50. You make a debit card purchase for $65. What is your new balance?
-15
-3x + 14 = -1
5
A jacket costs $85. If the sales tax is 6.5%, what is the total cost?
$90.53
Tax is $5.53
In the proportional equation y = 7.5x, what is the constant of proportionality?
7.5
A cell phone plan charges $35 per month plus $0.10 per text message. If a bill is $42.50, how many texts were sent?
Answer: 75 texts
A bank account has a balance of -$20. A paycheck deposit credit of $150 is made. What is the new balance?
$130
4 ( y - 5 ) = -32
-3
You earn a 3.5% commission on total sales. If you sell a piece of equipment for $40,000, how much do you earn?
Answer: $1,400
A recipe uses 6 cups of water for every 4 cups of rice. What is the constant of proportionality of water to rice?
Answer: 1.5 (or 3/2)
A wooden board is 12 feet long. A carpenter cuts off a piece that is 3.5 feet long, and then divides the rest into 5 equal sections. How long is each section?
Answer: 1.7 feet
Your account starts at $100. You have two debits of $45 each, followed by a credit of $25. What is your final balance?
$35
x/(-4) -7 = -12
20
You borrow $5,000 at a 4.5% simple interest rate for 2 years. How much interest do you owe?
Answer: $450
A graph of a proportional relationship passes through the point (4, 18). What is the constant of proportionality (y/x)?
Answer: 4.5 (or 9/2)
Tickets to a school play cost $8 for adults and $5 for students. If 50 adult tickets were sold and the total sales were $650, how many student tickets were sold?
Answer: 50 student tickets
A store checking account shows a balance of -$120. If the bank charges a monthly fee debit of $15, what is the new balance?
-$135
-2x + 6 < 16
x > -5
A tablet costs $200. It is on sale for 15% off, and you have to pay 8.875% sales tax on the sale price. What is the final total?
Answer: $185.09
(Sale price is $170; tax is $15.09)
If x represents hours worked and y represents total earnings, write the equation if the constant of proportionality is 16.5.
Answer: y = 16.5x
A sub-shop offers a 10% discount to students. A student buys a sandwich for $8.50 and a drink for $2.50, then pays 5% sales tax on the discounted total. What is the final bill?
Answer: $10.40
(Subtotal $11.00, discounted to $9.90, tax is $0.50)
An account has a balance of $200. After a debit of x dollars, the new balance is -$45. What was the amount of the debit?
$245
0.5m -4 = 1.2m + 3
An investment grew by 5% simple interest in one year, earning $125 in interest. What was the original principal amount invested?
Answer: $2,500
A car travels 140 miles in 2 hours and 210 miles in 3 hours. What is the constant of proportionality in miles per minute?
Answer: 1.167 miles per minute
(70 miles per hour divided by 60 minutes)
A pool is losing water at a rate of 2.5 gallons per hour. If the pool started with 800 gallons, and a hose adds 1.25 gallons back every hour, how many gallons are left after 24 hours?
Answer: 770 gallons
(Net loss is 1.25 gallons per hour x 24 hours = 30 gallons lost)