Some of the steps in Raya's solution to 2.5(6.25x + 0.5) = 11 are shown.
Statement
1.) 2.5(6.25x + 0.5) = 11 2.) 3.) 4.) x = 0.624 |
Reason
1.) Given 2.) 3.) Subtraction Property of Equality 4.) |
Select the correct reason for line 4 of Raya's solution.
- Closure Property
- Distributive Property
- Addition Property of Equality
- Division Property of Equality
- Symmetric Property of Equality
Completing the steps and reasons from above:
Statement
1.) 2.5(6.25x + 0.5) = 11 2.) 15.625x + 1.25 = 11 3.) 15.625x = 9.75 4.) x = 0.624 |
Reason
1.) Given 2.) Distributive Property 3.) Subtraction Property of Equality 4.) Division Property of Equality |
Each side of the equation was divided by 15.625, therefore the reason for step 4 is the
division property of equality.
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division property of equality.
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