K12 algebra quiz 2.10: Reasoning

What is the reason for each step in the solution of the equation? 19=5x−1 Drag and drop the reasons into the boxes to correctly complete the table.

1. given 2. addition property of equality 3.division property of equality

What is the reason for each step in the solution of the equation? −6x=−2(x+12) Drag and drop the reasons into the boxes to correctly complete the table.

1. given 2. distributive property 3. addition property of equality 4. division property of equality

The table shows the steps for solving the given inequality for x. 7x+16<−5(4−5x) Select the reason for each step from the drop-down menus.

1. given 2. distributive property 3. subtraction property of order 4. addition property of order 5. division property of order

What is the reason for each step in the solution of the equation? −6x+7x+14=3 Drag and drop the reasons into the boxes to correctly complete the table.

1. given 2. combine like terms 3. subtraction property of equality

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.

1.Given ​​2. Distributive Property​​ 3.​Combine like terms​​ 4. ​​Addition Property of Order​ ​ 5. Subtraction Property of Order​​ 6. ​​Division Property of Order