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

What is the value of the second expression when , 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 ?

–18

–9

9

18

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

What is the value of the second expression when , 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 and are equivalent. When , she correctly finds that both expressions have a value of 10. When , she correctly evaluates the first expression to find that .

What is the value of the second expression when , 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.

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

Step 1: Distribute –1 through , and distribute –2 through . |

Step 2: Rewrite the expression as . |

Step 3: Combine –x and –2x, and combine –3 and –2. |

Step 4: The simplified expression is . |

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 .

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

She made the first error in Step 4 because the simplified expression is .