Translating Expressions and Equations
Translate: “5 more than a number x.”
x + 5
Simplify the ratio 12:18.
2:3
What is 25% of 60?
15
Write an equation for: “y is 3 more than twice x.”
y = 2x + 3
Convert 3 hours to minutes.
180 minutes
Translate: “The product of 3 and the sum of a number and 7.”
3(x + 7)
A car travels 180 miles in 3 hours. What is its rate?
60 mph
15 is what percent of 75?
20%
Write an inequality for: “The total cost, C, is less than or equal to $50 when each item costs $8.”
8x ≤ 50
Convert 10 gallons to liters. (1 gal ≈ 3.785 L)
37.85 liters
Write an equation: “Twice a number decreased by 8 is 10.”
2x – 8 = 10
You can type 180 words in 4 minutes. How long will it take to type 630 words?
14 minutes
What number is 45% of 80?
36
The cost of renting a scooter is $10 plus $5 per hour. Write a model for total cost C after h hours.
C = 5h + 10
Convert 60 miles per hour to feet per second. (1 mile = 5280 ft)
88 ft/s
Translate: “Six less than half a number is equal to 9.”
½x – 6 = 9
A recipe calls for 3 cups of flour for every 2 cups of sugar. How many cups of flour are needed for 8 cups of sugar?
12 cups
A shirt costs $40 and is on sale for $30. What is the percent discount?
25%
A plumber charges $75 for a service call plus $40 per hour. Write and solve an equation to find how many hours you can afford if you have $255.
255 = 40h + 75 → h = 4.5 hours
A car travels 300 kilometers in 4.5 hours. Convert the rate to miles per hour.
(1 km = 0.621 miles)
41.4 mph
Write an equation for: “The quotient of a number and 4, increased by 3, is the same as 5 less than twice the number.”
x/4 + 3 = 2x – 5
A drone takes 45 minutes to fly 9 miles with the wind and 1 hour to fly the same distance against the wind. Find its speed in still air and the wind speed.
Drone = 10.5 mph, Wind = 1.5 mph
A laptop originally costs $900. It’s discounted 20% and then has 8% sales tax added. What is the final price?
$777.60
A gym charges $25/month plus a $50 sign-up fee. Write an inequality to represent when the total cost is under $200. Solve for months.
25m + 50 < 200 → m < 6 months
A scientist measures water flow at 2.5 gallons per second. Convert this rate to liters per minute.
(1 gallon = 3.785 liters)
567.75 L/min