Math 7 NOTES (4.2)
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One - Step Equations: Practical Applications (SOL 7.14b)
ADDITION AND SUBTRACTION
• Direct translation
Kelly’s test score is 6 points higher than Michelle’s. If
Kelly’s test score is 88, what is Michelle’s score?
1. Define the variables
Let k = Kelly’s score
Let m = Michelle’s score
2. Build an equation, substitute known
values, SOLVE
k =m+6
88 = m + 6
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.
1. Define the variables
2. Build an equation, substitute known
values, SOLVE
3. Write the answer with proper label
• 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?
After you withdraw $40 from your checking account,
the balance is $287. Find your balance before this
withdrawal.
After receiving $25 for her birthday, Latisha had $115.
How much did she have before her birthday?
After the temperature had risen 12°F, the
temperature was 7°F. Find the starting temperature.
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.
• Equal parts, divided evenly
A class of 30 students, separated into equal sized
teams, results in 5 students per team. How many
teams?
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.
d=r•t
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 a bunch of bananas is divided evenly among
6 monkeys, each monkey receives 4 bananas. How
many bananas are in the bunch?
Nate withdraws $40 from his checking account each
day. How long will it take him to withdraw $680?
Math 7 Homework (4.2)
Solve each equation:
1. After you withdraw $40 from your checking
account, the balance is $287. Find your balance
before this withdrawal.
2. The population of a small town is increasing at a
rate of 325 people per year. How long will it take
the population to increase by 6,825?
3. Jasmine jogs 3 miles each day. Find how many
days it will take her to jog 57 miles.
4. Mrs. Alvarez bought a new car. Her monthly
payments are $525. If she will pay a total of $25,200
in payments, find the number of payments.
5. Laurie needs 3
1
4
1
pounds of fertilizer for her
lawn. She has 1 pound. How much more
3
fertilizer does she need?
2
6. Jasmine jogs 3 miles each day. Find how many
3
days it will take her to jog 55 miles.
Math 7 Homework (4.2)
7. 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.
8. Katie drives her car at 55 miles per hour for 3
hours. How far does she travel?
9. 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?
10. 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?
11. Grace earns $5 per hour when she baby-sits.
How many hours does she need to work to earn
$75?
12. A batch of cookies split among four students
1
resulted in 3 cookies per student. How big was the
2
batch?
13. 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?
14. 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.
15.
16.
17.