Write Linear Equations and Inequality from a Situation

1. DO NOW 11/4/19

2. 8.8A Write Linear Equation
and Inequality from a Situation

3. Keywords
per
each
every
a/an
starting
m
m
m
b
b
less than
greater than
less than or equal to
greater than or equal to
<
>
≤
≥
rate
and
flat rate
same
begin
m
+
b
=
b
Steps
1) Identify the subject
3) Write two expressions
4) Put the symbol in between each expression
2) Identify the variable m or b

4. Example 1:
Kelsey rented a surfboard and a stand-up paddleboard on her vacation. The surfboard was $20
per hour and required a $30 deposit. The paddleboard was $22.50 per hour and required a $20
deposit. Write an equation that could be used to determine h, the number of hours for which
they each cost the same.

5. Example 2:
Jackie has $743 in her savings account when Donna opened a savings account with no money.
• Jackie deposited $62 into her account every week for x weeks.
• Donna deposited $108 into her account every week for x weeks.
• The account did not earn interest.
Write an inequality that represents this situation when the amount of money in Jackie’s account
was less than the amount in Donna’s account.

6. Whiteboards

7. Grace received a $30 iTunes gift card and has purchased 18 songs. Saskia
received a $15 iTunes gift card and has purchased 6 songs. They each have
the same amount left on their gift cards. Write an equation that could be
used to determine s, the cost of one song on iTunes.

8. Fred purchased 6 shirts for s dollars on Friday. At the same time, Kyle purchased 4 shirts
for s dollars and a pair of shorts for $25. Write an equation that could be used to determine
the cost, s dollars, for each shirt.

9. Austyn and Kirsten are going on the New York/D.C. trip at the end of the school year. Austyn
paid $600 and pays $240 each month. Kirsten paid $400 and pays $280 each month. They
paid for the trip for the same number of months. Write an equation that could be used to
determine m, the number of months it took each girl to pay for their trip.

10. Cody and Bryce received ShowBiz gift cards for Christmas. Cody received a $50 gift card
and has been to 3 movies for t dollars. Bryce received a $90 gift card and has been to 8
movies for t dollars. Each movie cost the same amount. Write an equation that could be
used to find, m, the cost of attending one movie.

11. Independent Practice