Name:_______________________________ Block: ______ Math 7 4.2 Solving 1‐Step Equations and Word Problems ADDITION AND SUBTRACTION Direct translation Kelly’s test score was 6 points higher than Michelle’s. If Kelly’s test score was 88, what was Michelle’s test score? 1. Define the variable Let x = 2. Build an equation and solve 3. Write the answer with proper label The lowest point in Louisiana is 543 feet lower than the highest point in Louisiana. The elevation of the lowest point is –8 feet. Write and solve an equation to find the elevation of the highest point in Louisiana. Let x = Part + Part = Total I bought a sweater and a hat and paid a total of $32. The hat cost $8. How much did I pay for the sweater? Let x = During a five‐day fundraiser, Kelly sold 8 boxes of greeting cards the first day, 6 boxes the second day, 10 boxes the third day, and 7 boxes the fourth day. If she sold a total of 45 boxes of greeting cards during the five days, find the number of boxes Kelly sold the fifth day. Let x = After receiving $25 for her birthday, Latisha had $115. After the temperature had risen 12°F, the How much did she have before her birthday? temperature was 7°F. Find the starting temperature. Let x = Let x = After you withdraw $40 from your checking account, the balance is $287. Find your balance before this withdrawal. MULTIPLICATION AND DIVISION Direct translation The population of South Africa is four times the population of Greece. If the population of South Africa is 44 million, write and solve an equation to find the population of Greece. Let x = Equal parts, divided evenly A class of 30 students separated into equal sized teams results in 5 students per team. How many teams resulted? A team had a total gain of 15 yards over several plays with an average gain of 5 yards per play. How many plays are represented? Total cost = price • amount Distance = rate • time Granola bars are on sale for $0.50 each. If Brad paid $5 for granola bars, find how many bars he bought. On a trip, the Rollins family drove at an average rate of 62 miles per hour. Find how long it took them to drive 558 miles. Adam is 14 years old. Adam is 3 years younger than his brother Michael. How old is Michael? A rectangle's width is one‐third its length. If the width is 8 inches, what is the length of the rectangle?
When the bananas were divided evenly among the 6 monkeys, each monkey received 4 bananas. How many bananas were there? Nate withdraws $40 from his checking account each day. How long will it take him to withdraw $680?
Solve each equation.
Laurie needs 3 pounds of fertilizer for her lawn. She has 1 pounds. How much more fertilizer does she need? Reminder:
Add/Subtract – Must have common denominator Multiply ‐ Cross reduce, multiply straight across Divide – KFC or Multiply by the reciprocal. Jasmine jogs 3 miles each day. Find how many days it will take her to jog 55 miles.
Homework 4.2 1. The speed limit is 75 miles per hour. If a truck traveling at the speed limit drives 225 miles before stopping, find the length of time a truck has traveled. Let x = 2. Katie drives her car at 55 miles per hour for 3 hours. How far does she travel? Let x = 3. Alex earned $326 this summer mowing lawns. The total was $40 more than what he earned last year. How much did he earn last year? 4. Tiger Woods won the 2002 Masters Championship with a final score of 12 under par, or –12. His scores for the first three rounds were –2, –3, and –6. What was his score for the fourth round?
5. Grace earns $5 per hour when she baby‐sits. How many hours does she need to work to earn $75? 6. A batch of cookies split among four students resulted in 3 cookies per student. How big was the batch?
7. Felipe earns $9 per hour for helping his grandmother with her yard work. How many hours must he help his grandmother in order to earn $54? 8. The atomic number of Mercury is the sum of the atomic number of Aluminum and 67. The atomic number of Mercury is 80. Write and solve an addition equation to find the atomic number of Aluminum.
Solve the equations. Show every step. 9. 10. 11.