Michael is trying to write the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? micheal wrote the following expression: 6 * 5 + y
error: *
correct solution: *

Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

Correct solution: 6 ÷ (5 + y)

Step-by-step explanation:

- Lets revise some words of some operations in mathematics

# The sum ⇒ (+) Add

# The difference ⇒ (-) subtract

# The product ⇒ (×) multiply

# The quotient (answer of division) ⇒ (÷) divide

* Lets solve the problem

- Michael is trying to write the algebraic expression for the following

 word phrase:

 the quotient of 6 and the sum of 5 and y

- Lets explain that: the quotient means the answer of division so he

 wants to divide a quantity by another one

∵ The first quantity is 6

∵ The second quantity is the sum of 5 and y

- He wants to divide 6 by (5 + y)

∴ The expression is 6 ÷ (5 + y)

* Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

* Correct solution: 6 ÷ (5 + y)

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".