Question

Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used. Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings: y = 250 + 340x.

Answer 1

The fill up for the 3rd  step is y - 250 =  340x.

• The fill up of the 5th step is $x = \frac{y-250}{340}$

• The fill up of the 6th step  is $\frac{8750-250}{340} = 25 = x, \frac{8750-250}{340}= 34 = x$

• The justification for the 2nd step is subtraction PE.
• The justification for the 4th step is division PE.

What is the simplification  about?

Note that:

y-250 = 250 + 340 x - 250

y = 250 + 340x.

Make x the subject of the formula:

y - 250 =  340x.

then y-250/340 = x

Then  $x = \frac{y-250}{340}$

The justification for the second step is subtraction property of equality because it undergoes subtraction and the collection of like terms and then subtracting them from one another as shown below:

y-250 = 250 + 340 x - 250

y= 250 + 340x - 250 + 250

Note that (-250 + 250) = 0

y = 250 + 340x.

Lastly, The fill up of the 6th step is substitution of the amount of money  saved and  then simplifying it.

Learn more about simplification from

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