1. The Appalachian Trail is 2,172 miles long
The Appalachian Trail is 2,172 miles long. If Sharon hikes 12 miles each day, how many days will it take her to hike the Appalachian Trail?
0181
12 2,172
-12 97
-96 12
181 miles each day
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2. Hadley’s softball team has a phone tree in case a game is cancelled
Hadley’s softball team has a phone tree in case a game is cancelled. The coach call 3 players, then each of those players call 3 players and so on. How many players will be notified in the 3rd round of calls?
Coach
1st round Player Player Player
2nd round P P P P P P P P P
3rd round PPP PPP PPP PPP PPP PPP PPP PPP PPP
27 Players
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This video is about exponents which is another way to solve this type of problem.

3. Order the decimals from least to greatest and place them on a number line.
3.35, 3.15, 2.95, 3.05, 3.2
2.95, 3.05, 3.15, 3.2, 3.35
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4. Jeremy bought a bottle of water for $1
Jeremy bought a bottle of water for $1.45 and a bag of fruit snacks for $ How much money will Jeremy get back if he pays for his purchases with a ten-dollar bill?
Jeremy’s Purchases
1.45
+2.25
$3.70
Jeremy’s Change
10.00
-3.70
$6.30
$6.30 in change
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(Adding Decimals) (Subtracting Decimals)

5. Brent mixed 4. 5 gallons of blue paint with 1
Brent mixed 4.5 gallons of blue paint with 1.7 gallons of white paint and 2.4 gallons of red paint to make a light purple paint. About how many gallons of purple paint did he make?
About is telling you to ESTIMATE
Estimate means you MUST round the numbers BEFORE you do any math
4.5 gallons gallons
1.7 gallons gallons
2.4 gallons gallons
= 9 gallons
9 gallons
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(Rounding to the nearest 10) (Rounding with decimals)

6. 3 and 7 are the common prime factors
What prime numbers are factors of both 21 and 42?
Remember that you are trying to find all of the prime numbers “hiding” inside of the given number. 21 3 42
7 6
2 3
3 and 7 are the common prime factors
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(Identifying Prime Numbers)
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(Prime Factorization)

7. Express the sum of each pair of numbers as a product of the greatest common factor of the numbers and another sum.
Find the GCF of the numbers in the sum
Divide each number in the sum by the GCF
42 ÷ 21 = 2
105 ÷ 21 = 5
Rewrite the sum as a multiplication table of the GCF and what is left of the sum
Step 1 42
1 × 42
2 × 21
6 × 7
105
1 × × 35
5 × 21
7 × 15
Step 2
Step 3
21(2 + 5)
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(This is a little more advanced because it is factoring with a variable but the overall concept is the same )

8. There are 36 apples, 28 oranges, and 24 pears in a basket
There are 36 apples, 28 oranges, and 24 pears in a basket. The fruits are packed into bags. An equal number of each kind of fruit is packed into each bag. What is the greatest number of bags of fruit that could be packed?
36 ÷ 4 = ÷ 4 = ÷ 4 = 6
GCF
36 apples
1 × 36
2 × 18
3 × 12
4 × 9
6 × 6
28 oranges
1 × 28
2 × 14
4 × 7
24 pears
1 × 24
2 × 12
3 × 8
4 × 6
4 bags of fruit with 9 apples, 7 oranges and 6 pears in each
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9. Over the summer Jenny grew of an inch and Jeb grew 0.85 of an inch. Who grew more over the summer?
Jeb
0.83
Jenny
-48 20
-18 2
Jeb grew more
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10. Dr. Lutinski bought pounds of ground turkey for the 8th grade cookout. He plans on using pound of turkey for each hamburger. How many hamburgers can he make?
÷ 1 4
25 2 × 4 1
100 2 50
50 hamburgers
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