9514 1404 393
Answer:
1a. multiplication property of equality
1b. distributive property
1c. subtraction property of equality
1d. division property of equality
2a. distributive property
2b. addition property of equality
2c. division property of equality
Step-by-step explanation:
The properties that let you do the same thing to both sides of an equation are the <em>properties of equality</em>. These are usually given an additional qualifier according to the operation being performed: <em>addition</em> property ..., <em>subtraction</em> property ..., <em>multiplication</em> property ..., <em>division</em> property .... The property that lets you add or eliminate parentheses is the <em>distributive property</em> (of multiplication over addition).
To answer these questions, you need to compare each line to the previous to see what operation was performed. It will generally be use of one of the properties described above, or "simplification," in which like terms are combined.
1a. both sides are multiplied by 3: multiplication property of equality
1b. parentheses are eliminated: distributive property
1c. 18 is subtracted from both sides: subtraction property of equality
1d. both sides are divided by 2: division property of equality
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2a. parentheses are eliminated: distributive property
2b. 24 is added to both sides: addition property of equality
2c. both sides are divided by 2: division property of equality
