MATH SOLVE

5 months ago

Q:
# Tyreese is using algebra tiles to solve the equation below.Tyreese’s first step is toremove one x-tile from both sides.remove two x-tiles from the left side.add one positive x-tile to both sides.add two positive x-tiles to both sides.

Accepted Solution

A:

Answer: step 3 is the correct first stepStep-by-step explanation:Let us number the steps1) Tyreese’s first step is toremove one x-tile from both sides.2) remove two x-tiles from the left side.3) add one positive x-tile to both sides.4) add two positive x-tiles to both sides.The equation which Tyreese wants to solve is 2x + 5 = - x + ( -1 ). The aim is to make x to be on only one side1) If she applies step 1, it becomes2x - x + 5 = - x - x + ( -1 )x + 5 = -2x - 1x is still on both sides, so step 1 is wrong.2) If she applies step 2, it becomes2x - 2x + 5 = - x + ( -1 ) 5 = -x - 1 step 2 is wrong because whatever you do to the left hand side must also be done to the right hand side. So 2x must be removed from both sides.3) If she applies step 3, it becomes2x +x + 5 = - x + x + ( -1 )3x + 5 = - 1x is on only the left hand side of the equation, so step 3 is right.4) If she applies step 4, it becomes2x + 2x + 5 = - x + 2x + ( -1 )4x + 5 = x - 1x is still on both sides, so step 4 is wrong.