Answer:
06.07 Equivalent Expressions
by Dominique
The ending of Sarah 's story
By the end of the day Sarah had found 4 shark teeth . John had found 2 shark teeth , together they had 6 shark teeth. When Sarah and John showed her neighbor the teeth he or she paid Sarah $30 dollars. Sarah and John had split the money so John would have $15 dollars and Sarah would have $15 dollars.
i already did this exact answer with someone else so i just copied my answer from that and placed it on this on
Step-by-step explanation:
Substitution: Two
Use substitution to prove that your two expressions are equivalent.
7(9j+ 6j + 2)
63j + 14 + 42j
63 x 1 + 42 x 1 + 14
63 x 1= 63
42 x 1=42
42 + 63 + 14
42 + 63 = 105
105 + 14 = 119
Part 2: Writing Expressions
Substitution : One
2. Translate the algebraic expression you created in Question 1 to a verbal expression
The product of seven and the sum of the product of nine and some number, two, and the product of six and some number.
Use substitution to prove that your two expressions are equivalent.
7(9j+ 6j + 2)
7( 9 x 1 + 6 x 1+ 2 )
9 x 1= 9
6 x 1= 6
7 ( 9 + 6 + 2 )
9 + 6 = 15
15 + 2 += 17
7 x 17 = 119
Part 1: Writing Expressions
1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
My expression is 7(9j+ 2 + 6j) .
Writing Equivalent Expressions
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
7(9j+ 2 + 6j) = 7(9j+ 6j + 2) = The Commutative Property of Addition.
7(9j+ 2 + 6j) = 63j + 14 + 42j = The Distributive Property
The beginning of Sarah 's story
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