A rancher in Wyoming feeds 120 pounds of hay to 4 horses each day. What is the unit rate of hay consumed per horse per day?
Ratios And Proportional Relationships
Question · Easy
Would you rather: marbles
Short
A truck travels 180 miles on 6 gallons of gasoline. What is the unit rate in miles per gallon?
A proportional relationship table shows values of x and y: (2, 8), (4, 16), and (6, 24). What is the constant of proportionality k = y/x?
A winter jacket in Cheyenne costs $80. It is on sale for 25% off. What is the discount amount in dollars?
A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker uses 9 cups of flour, how many cups of sugar should be used?
Find x
On a state map of Wyoming, 1 inch represents 25 miles. If the distance between two towns on the map is 2.5 inches, what is the actual distance in miles?
A student answered 18 out of 20 questions correctly on a test. What percentage of the questions did the student answer correctly?
Store A sells 5 apples for $3.00 ($0.60 per apple). Store B sells 8 apples for $4.40 ($0.55 per apple). Which store offers the lower unit price and by how much per apple?
Evaluate the expression: -7 + 12.
The Number System
Stats test: find the median
Evaluate the expression: -4 - (-9).
Evaluate the product: -6 * (-8).
What is the distance between -8 and 5 on a standard number line?
Evaluate the quotient: -45 / 9.
Convert the fraction 3/8 to its equivalent decimal form.
Simplify the algebraic expression by combining like terms: 4x + 7 - 2x + 3.
Expressions And Equations
Use the distributive property to expand the expression: 3(2x - 5).
Solve the one-step equation for x: x - 9 = -14.
Solve the two-step equation for y: 2y + 5 = 17.
Solve the equation for m: 3m - 7 = 14.
Evaluate the expression 5a - 3b when a = 4 and b = 2.
A car rental agency charges a flat daily rate of $30 plus $0.20 per mile driven. Which algebraic expression represents the total cost for driving m miles in one day?
Which description correctly represents the graph of the inequality x > 3 on a number line?
What is the area of a circle with a radius of 5 centimeters? (Use pi = 3.14)
Geometry
What is the circumference of a circle with a diameter of 10 inches? (Use pi = 3.14)
Two angles are complementary. If the measure of one angle is 35 degrees, what is the measure of the other angle?
Two angles form a linear pair and are supplementary. If one angle measures 115 degrees, what is the measure of the second angle?
A bag contains 4 red marbles, 6 blue marbles, and 5 green marbles. If one marble is drawn at random, what is the probability of selecting a blue marble?
Statistics And Probability
An event has a probability of 0.85. Which term best describes the likelihood of this event occurring?
Find the mean of the following set of test scores: 12, 15, 18, 21, 24.
Find the median of the ordered data set: 5, 8, 12, 14, 19, 22, 30.
A cyclist in Wyoming travels at a constant speed of 15 miles per hour. Which linear equation represents the total distance d in miles traveled in h hours?
Question · Medium
A family dines at a restaurant in Jackson, Wyoming. The food bill is $60.00. Sales tax is 6% and they leave a 15% tip on the food bill. What is the total cost of the meal?
A sporting goods store buys camping tents for $50.00 each and applies a 40% markup. What is the retail selling price of a tent?
Calculate the simple interest earned on a principal deposit of $1,200 at an annual interest rate of 4% over 3 years (Formula: I = P * r * t).
The student population of a school district increased from 4,000 students to 4,600 students. What was the percent increase in student population?
A blueprint uses a scale where 1 centimeter represents 3 meters. A rectangular room on the blueprint measures 4 centimeters by 5 centimeters. What is the actual area of the room in square meters?
A runner completes 3/4 of a mile in 1/10 of an hour. What is the runner's average speed in miles per hour?
Which set of ordered pairs (x, y) represents a proportional relationship?
A real estate agent earns a 3% commission on the sale of a property in Casper priced at $450,000. How much commission does the agent earn?
A laptop original price is $500. It is discounted by 20%. A sales tax of 5% is then applied to the sale price. What is the final price?
A fruit punch recipe mixes apple juice and sparkling water in a ratio of 5:3. If a catering service needs to make 32 gallons of punch in total, how many gallons of apple juice are needed?
A high-speed printer prints 210 pages in 6 minutes. What is the constant of proportionality in pages per minute?
A vehicle travels at a rate of 45 miles per hour. What is this speed converted to feet per second? (1 mile = 5,280 feet; 1 hour = 3,600 seconds)
A coat originally priced at $120 is marked down to $96. What is the percent decrease in price?
A student deposits $800 into a savings account paying 5% simple interest per year. What will be the total account balance after 4 years?
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