3. 1. Distribute and/or Collect Like
Terms
2. Isolate the variable term using
inverse operations
(Get it all alone on one side of the equal sign)
3. Solve for 1 of your variables
4. Solving Steps: Quick
Guide
1) Distribute and/or
Collect Like Terms
2) Isolate the Variable
Term*
3) Solve for Variable*
*Use Inverse
Operations
Given: 3x – 2 = 7
+ 2
+2 3x = 9
3 3
x = 3
Non
e
6. $19.99 + 0.89m = 337.72
How many miles did U-Haul charge you for?
m = 357 miles
$19.99 + 0.89m = 337.72
- 19.99 -19.99
0.89m = 317.73
0.89 0.89
7. You have a Verizon wireless plan with your parents and
share 700 mins, have unlimited texts, and 4 GB of data.
It is a total of $95 per month. If you go over your
minutes then a 45 cent charge per minute is applied to
your bill. For the month your family used 950 minutes,
12000 texts, and 3.5 GB of data. Write an equation that
represents your bill. How much will you pay for the
month?
p = 90 + 0.45(950-700)
p = $202.50
8. If it is 70 degrees Celsius outside, what does that
equate to in Fahrenheit?
70 =
5
9
(𝐹 − 32)
𝐶 =
5
9
(𝐹 − 32)
9. 𝑑 =
1
5
𝑡
2 =
1
5
𝑡
How long will it take you to hear the
thunder if the lightning is two miles away
10. 𝐴 = $5,000 1 +
0.06
12
12∙2
Invested $5,000 for two
years, compounded
monthly at 6% interest.
11.
12. a. If you drove 240 miles in 4 hours, how fast were you driving?
b. If you rode in a taxi that charges an initial $3.00 charge plus
$1.50 per mile, how far can you go on $20.00?
c. You have entered a bowling competition and make 5 cents a
pin plus an additional $10.00 just for participating. How much
will you win if you knock down 712 pins in 5 games?
240 = 𝑟 ∙ 4
20 = 1.5𝑚 + 3
𝑤 = 0.05(712) + 10
13. d. You are a salesman who makes 5% on all of your sales plus a
base salary of $200 a week. If you sold $4,500 worth of
merchandise, how much money will you make for the week?
e. Mr. Telford paid $140,000 on pay per click advertising for the
year. If each click is 42 cents, how many clicks did his business,
Cedar Creek Cabin Rentals, receive throughout the year?
𝑤 = 0.05($4,500) + 200
$140,000 = $0.42𝑐
14. • 3x = 12
• x = 4
• 7y – 3 = 25
• y = 4
• 4(3m + 4) = 17
• m = 1/12
• 2(3x -5) + 7 = -5(1-
2x)
• x = 2
• 70 =
5
9
(𝐹 − 32)
• F = 160 degrees
• 2 =
1
5
𝑡
• t = 10 seconds
• 𝐴 = $5,000 1 +
0.06
12
12∙2
• A = $5,635.798 = $5,635.80
• 240 = 𝑟 ∙ 4
• r = 60 miles per hour
• 20 = 1.5𝑚 + 3
• m = 11.33 or 11 1/3 miles
• 𝑤 = 0.05(712) + 10
• w = $45.60
• 𝑤 = 0.05($4,500) + 200
• w = $425
• $140,000 = $0.42𝑐
• c = 333,333 1/3 clicks
