Drag each equation to show if it could be a correct first step to solving the equation 8(x + 5) = 56.

Distribute 8 to all terms within the parenthesis

Step-by-step explanation:

Remember to follow PEMDAS. The steps are:

 1) Distribute 8 to all terms within the parenthesis

8(x + 5) = 8(x) + 8(5) = 8x + 40

2) Isolate the x. Do the opposite of PEMDAS

8x + 40 = 56

2.5) Note the equal sign. What you do to one side, you do to the other

8x + 40 (-40) = 56 (-40)

8x = 56 - 40

8x = 16

(8x)/2 = (16)/2

x = 16/2

x = 8

8 is your answer

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75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

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".