Name:_________________________________
M3L13
Accordino-Math 7
Date:_________
Period:________
Lesson 13: Writing Algebraic Expressions
Real-World Applications
Bellringer
(x - 2)’
10’
1) Given the rectangle above, which expression could represent the perimeter of the figure?
a.
b.
c.
d.
2 x  16
2 x  24
x 8
2 x  16
2) Given the rectangle above, which expression could represent the area of the figure?
a.
b.
c.
d.
 10 x  4
10 x  20
x 8
10 x  20
Name:_________________________________
M3L13
Accordino-Math 7
Date:_________
Period:________
Lesson 13: Writing Algebraic Equations
Real-World Applications
Notes
Review:
Algebraic Expressions: In math, an incomplete thought is called an _______________________.
It does not have ________________________________________.
Algebraic Equations: In math, a complete thought is called an ____________________________.
It does have ____________________.
* Use Lesson 12 Notes to assist as needed.
1.
For safety reasons, your parents are going to fence in the family pool this summer. They determine that the
length of the pool is 15 feet longer than the width. In all, they had to purchase 78 feet of fencing. What is the
length and width of the pool?
a.
Draw a picture of the situation
b.
Write two expressions. One to represent the width of the pool and the other to represent the length in
relation to the width.
c.
Write an equation that would represent the relationship between the perimeter of the pool and total
fencing purchased.
d.
Using your equation, solve for the width of the pool.
e.
Find the length of the pool.
Name:_________________________________
M3L13
Accordino-Math 7
Date:_________
Period:________
Write an equation that models each of the real world problems below:
2.
You make a long distance telephone call. The rate is $0.10 for each minute. The total cost of the call was
$5.00. How long was the call? Check to see if your solution is reasonable.
3.
Harper has $15.00 to spend at the grocery store. She is going to buy bags of fruit, b, that cost $4.75 each and
one box of crackers that cost $3.50.
4.
a.
Write an equation that could be used to model the situation.
b.
How many whole bags of fruit can Harper buy?
You want to hire a live band for a school dance. The live band charges $75 to play for three hours and each
student will pay a $2.00 admission price, p.
a.
Write an equation that represents the total profits of the dance.
b.
How much money will you make if 100 students attend the dance?
c.
How many students would need to attend the dance for you to “break even” after paying the band?
Name:_________________________________
M3L13
Accordino-Math 7
Date:_________
Period:________
Homework:
Use the figure below for questions #1 and #2:
(3x + 5)’
8’
1) Given the rectangle above, which expression could represent the perimeter of the figure?
a.
b.
c.
d.
6 x  26
24 x  5
3x  13
6 x  13
2) Given the rectangle above, which expression could represent the area of the figure?
a.
b.
c.
d.
24 x  40
3x  13
24 x  5
24 x  40
3) Write an equation that would represent the situation below. Then answer the corresponding
question using your equation.
“Sally bought a pair of pants at the mall for $24.95. She then bought shirts that were on sale for
$9.95 each. If Sally spent a total of $74.70, how many t-shirts did she buy?
4) You earn $5.15 an hour delivering papers and $8.75 an hour working as a cashier at a local clothing
shop.
Last week you worked 15 hours delivering papers and made a combined total of $121.00 between
your two jobs.
Write and solve an equation that models this situation and could be used to determine the number of
hours, h, you worked at the clothing store.
Name:_________________________________
M3L13
Accordino-Math 7
Date:_________
Period:________
Lesson 13: Writing Algebraic Equations
Real-World Applications
Exit Ticket
(2pts)Write an equation that would represent the situation below. Then answer the corresponding question using
your equation.
“Sam has $30.00 in his checking account and earns $8.00 per week as an allowance. How many weeks will it take
Sam to earn $78.00 total?”