### Traslating Algebraic Expressions Intro

```A babysitter earns \$5 per hour babysitting.
Number of
hours
2
Money Earned
5
8
11
h
What expression would represent the
babysitter working h hours?
5h
John biked 8 miles less than Zac.
Zac’s Miles
John’s Miles
8
10
15
20
m
What expression would represent John’s
miles if Zac bikes m miles?
m-8
Rashir and Ramon were starting a
per hour.
Number of
Hours
1
Total Earnings
2
4
8
h
What expression would represent how much
they would make if they worked h hours?
7.50 • h
Your family will pay you \$8 for each
chore you complete.
Number of
Chores
Total Earnings
\$8.00
\$16.00
\$24.00
\$40.00
d
What expression would represent how many
chores you would have to do to make d
dollars?
d÷8
Guided Practice
1. A helicopter rises four times as fast as a hot
air balloon. Write an algebraic expression to
represent how fast the helicopter rises in
relation to the hot air balloon.
H•4
2. Ms. Ruark’s purple pen is six and four
tenths centimeters shorter than the length of
a pencil. Write an algebraic expression to
represent how long Ms. Ruark’s purple pen is
in relation to the pencil.
p – 6.4
Guided Practice
3. Alex types 13 words per minute faster than
Michelle. Write an algebraic expression to
represent how fast Alex types in relation to
Michelle.
M + 13
4. Sixty five pieces of candy shared with a
class of s students. Write an algebraic
expression to represent the candy in relation
to the number of students.
65 ÷ s
Guided Practice
5. Sirena fed 13 carrots to her horse on
Monday and y carrots to her horse on Tuesday.
Write an expression to represent how many
carrots Sirena fed her horse on Monday and
Tuesday.
13 + y
6. A BMS shirt costs d dollars each. Ms. Ruark
buys 15 shirts. Write an expression to find the
total cost of the shirts.
15d
Guided Practice
7. Three fourths of the sixth graders at BMS
ride the bus. Write an expression that
represents the number of students who ride
the bus.
3
s
4
Exit Ticket – Translate.
1) The quotient of x and 13.

13
2) Mark is eight and one-fourth inches taller than
Michaela’. If Michaela’s h inches tall, write an
expression to represent Mark’s height.
1
H+8
4
3) Darien shot 14 times the number of baskets
Stefon shot. If Stefon shot b baskets, write an
expression to represent Darien’s shots.
14b
4) Brandy is 6.9 years younger than Sarah. If Sarah
is y years old, write an expression to represent
Brandy’s age.
y – 6.9
Bennett Middle School PTA can buy school
t-shirts at the following prices:
Shirt Cost - \$8.00 per shirt
Delivery on all orders - \$40
Number of
Shirts
1
Total Cost
12
30
150
s
What expression would represent the total
8s + 40
cost for s shirts?
Roger rents a power washer to clean his
deck. The total cost includes a one-time
rental fee of \$15 plus \$14 for each hour.
Number of
Hours
1
Rental Cost
3
4
6
h
What expression would represent the rental
14h + 15
cost for h hours?
Sarah opens a new checking account. She
deposits \$50 each week and pays a onetime charge of \$7 to have her checks
printed.
Number of
Weekly
Deposits
1
Account Balance
3
4
7
d
What expression would represent the
50d – 7
account balance after d deposits?
Guided Practice
1. Write an algebraic expression to represent,
six more than three times a number, k.
3k + 6
2. Comcast Cable (cost based per month)
\$32.50 – basic cable
Write an algebraic expression to
represent the total cost for p premium
channels.
4.95p + 32.50
Guided Practice
3. Martin rode his bike 17 miles shorter than
four times the distance Mike rode, r. Write an
expression to find the distance Martin rode.
4r – 17
4. Jack has 20 pieces of candy fewer than
half of what Kayla has, k. Write an expression
to represent how much Jack has.

2
- 20
Guided Practice
5. It costs \$11.50 per hour to rent a motorboat
at Shad Landing plus \$4.95 for gas. Write an
expression that would be used to determine
the cost to rent a motorboat for s hours?
11.50s + 4.95
6. Old McDonald has eighty more than twice
the amount of blueberry bushes, b, Young
McDonald has. Write an expression that
would be used to calculate the number of
blueberry bushes Old McDonald has.
2b + 80
Guided Practice
7. There are thirteen flowers taken from f
flowers which will then be divided equally into
8 bouquets. Write an expression that would
be used to find the number of flowers that the
shop started with.
− 13
8
8. Write an expression to represent Michael’s
account balance after he tripled his savings
account, m, and made a deposit of \$18.
3m + 18
Exit Ticket – Translate.
1) Eight times x, increased by four.
8x + 4
2) Bill and his brother joined Netflix last month.
They pay a \$5.50 fee plus \$0.99 per DVD rental, r.
Write an expression to represent their monthly
Netflix cost.
5.50 + 0.99r
3) Sarah is seven years younger than three times
the age of her youngest brother b. Write an
expression to represent Sarah’s age.
3b - 7
4) Twenty less than one-sixth of the 6th grade
student population, p, at BMS plays in after school
sports. Write an expression to represent the 1
− 20
students that play after school sports.
6
```