KCF/Simplifying Expressions
Evaluate to find the quotient. Simply if needed.
1/4 ÷ 2/3
3/8
Practicing using the 3 reads strategy:
Mr. R hikes at a steady rate of 1 miles per hour. Mr. R hiked for 8 hours. How many miles did he hike?
1st Read: What is the situation?
Mr. R hiking
Write down the order of operations
P - ( )
E - exponents
M or D - multiply or divide from left to right
A or S - add or subtract from left to write
Mrs. V can run 5 miles in 10 minutes.
How long does it take her to run 1 mile?
10 ÷ 5 = 2
It takes her 2 minutes per mile.
Use the distributive property to write the equivalent expression with or without parenthesis
2(x + 3)
2x + 6
Combine like terms:
4g^2 + 9 + 2g^2 - 2 + g
6g^2 + 7 + g
Practicing using the 3 reads strategy:
Mr. R hikes at a steady rate of 1 miles per hour. Mr. R hiked for 8 hours. How many miles did he hike?
2nd Read: What are the quantities (#s and units?)
1 mile per hour
8 hrs
Solve using the order of operations:
3+2^3×4
35
Sienna can run 3 miles in 36 minutes.
How long does it take her to run 1 mile?
36 ÷ 3 = 12
It will take her 12 minutes to run 1 mile.
Use the distributive property to write the equivalent expression with or without parenthesis
3(2x + 2)
6x + 6
Evaluate to find the quotient. Simply if needed.
1/5 ÷ 4/9
9/20
A serving of grapes is 1/2 of a cup. A bag contains 1 1/2 cups of grapes. How many servings of grapes are in a bag?
Write the division problem and solve.
1 1/2 ÷ 1/2 = 3
3 servings
Solve using the order of operations:
(5+2)^2−6
43
It takes Sienna 36 minutes to run 3 miles.
How long will it take her run 11 miles?
36 ÷ 3 = 12 minutes per mile
12 x 11 = 132
It will take her 132 minutes to run 11 miles.
Use the distributive property to write the equivalent expression with or without parenthesis
3(2x + 4y)
6x + 12y
Evaluate to find the quotient. Simply if needed.
3/8 ÷ 2/3
9/16
Solve using the order of operations:
2^3+(6÷2)
11
5.00 ÷ 2 = 2.50
Each donut costs $2.50.
Use the distributive property to write the equivalent expression with or without parenthesis
7y + 49
7(y + 7)
Evaluate to find the quotient. Simply if needed.
5/6 ÷ 6/7
35/36
Solve using the order of operations:
7+3^2×(4−1)
34
Finish the table:
https://docs.google.com/document/d/1RpI0ueuK1BzSFwa566ZhYEtX4pAvlyKppRSal-esmRQ/edit?usp=sharing
6 donuts - $15.00
8 donuts - $20.00
9 donuts - $22.50
10 donuts - $25.00
Use the distributive property to write the equivalent expression with or without parenthesis
9x + 12
3(3x + 4)