2.10 Quiz: Reasoning
What is the reason for each step in the solution of the inequality? 4(x+6)>−5(x+5)−14 Select the reason for each step from the drop-down menus.
4(x+6)>−5(x+5)−14 Given 4x+24>−5x−25−14 Distribution 4x+24>−5x−39 Combine 4x+63>−5x Add Prop Order 63>-9x Sub Prop Order -7<x Div Prop Order
The table shows the steps for solving the given inequality for x. −2(3−2x)<x+3 Select the reason for each step from the drop-down menus.
-2(3 - 2x)<x+3 Given -6+4x<x+3 Distribution −6+3x<3 Sub Prop Order 3x<9 Add Prop Order x<3 Div Prop Order
What is the reason for each step in the solution of the equation? −5(x−6)=10x Drag and drop the reasons into the boxes to correctly complete the table.
−5(x−6)=10x Given −5x+30=10x Distribution 30=15x Add Prop Equality 2=x Div Prop Equality
What is the reason for each step in the solution of the equation? 3+4x−3x=4 Drag and drop the reasons into the boxes to correctly complete the table.
3+4x−3x=4 Given 3+x=4 Combine x=1 Sub Prop Equality
What is the reason for each step in the solution of the equation? 3x−2=4 Drag and drop the reasons into the boxes to correctly complete the table.
3x−2=4 Given 3x=6 Add Prop Equality x=2 Div Prop Equality
