1.Chris is checking to determine if the expressions mc021-1.jpg and mc021-2.jpg are equivalent. When mc021-3.jpg, he correctly finds that both expressions have a value of 8. When mc021-4.jpg, he correctly evaluates the first expression to find that mc021-5.jpg.

What is the value of the second expression when mc021-6.jpg, and are the two expressions equivalent?

The value of the second expression is 8, so the expressions are equivalent.     

The value of the second expression is 10, so the expressions are equivalent.     

The value of the second expression is 12, so the expressions are not equivalent.     

The value of the second expression is 16, so the expressions are not equivalent.

2.What is mc008-1.jpg?

–18

–9

9

18

3.Denise is checking to determine if the expressions mc015-1.jpg and mc015-2.jpg are equivalent. When mc015-3.jpg, she correctly found that both expressions have a value of 14. When mc015-4.jpg, she correctly evaluated the first expression to find that mc015-5.jpg.

What is the value of the second expression when mc015-6.jpg, and are the two expressions equivalent?

The value of the second expression is 2, so the expressions are equivalent.

The value of the second expression is 4, so the expressions are not equivalent.

The value of the second expression is 8, so the expressions are not equivalent.

The value of the second expression is 10, so the expressions are equivalent.

4.Nancy is checking to determine if the expressions mc014-1.jpg and mc014-2.jpg are equivalent. When mc014-3.jpg, she correctly finds that both expressions have a value of 10. When mc014-4.jpg, she correctly evaluates the first expression to find that mc014-5.jpg.


What is the value of the second expression when mc014-6.jpg, and are the two expressions equivalent?

The value of the second expression is 8, so the expressions are not equivalent.

The value of the second expression is 14, so the expressions are equivalent.

The value of the second expression is 16, so the expressions are equivalent.

The value of the second expression is 18, so the expressions are not equivalent.

5.Kadesha is simplifying the expression below.

mc011-1.jpg

She lists the steps that she uses to simplify the expression as follows:

Step 1: Distribute –1 through mc011-2.jpg, and distribute –2 through mc011-3.jpg.
Step 2: Rewrite the expression as mc011-4.jpg.
Step 3: Combine –x and –2x, and combine –3 and –2.
Step 4: The simplified expression is mc011-5.jpg.
 



In which step did Kadesha make the first error?

She made the first error in Step 1 because only –2 should be distributed through the parentheses.

She made the first error in Step 2 because Step 2 should be mc011-6.jpg.

She made the first error in Step 3 because –x and –2x cannot be combined.

She made the first error in Step 4 because the simplified expression is mc011-7.jpg.

asked Apr 19 in Other Math Topics by Reema
edited Apr 19

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1 Answer

  1. The two expressions are not equivalent and the evaluation is 12.
  2. 9.
  3. Not equivalent, result is 8.
  4. Equivalent, result is 14.
  5. First error in step 2.

It’s important you understand algebra, so rather than just post questions like this, it would be better and more fun for you if you understood algebra better. If you’re having difficulty I may be able to help and make the subject more fun. My guess is that you are in cyberschool.

answered Apr 19 by Rod Top Rated User (537,180 points)

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