Adding and Subtracting Rational Expressions

Question 1

Find the sum:

Revolt · Accepted Answer

C:

Question 2

Find the sum:

Revolt · Accepted Answer

C:

Question 3

Which solution shown below contains an error?

Revolt · Accepted Answer

B:

Question 4

Perform the indicated operations:

Revolt · Accepted Answer

B:

Question 5

Question 5

Revolt · Accepted Answer

D:

Question 6

Describe the error made in subtracting the two rational expressions shown:

Revolt · Accepted Answer

The error occurred when subtracting the numerators. The student failed to distribute the negative sign to both terms of the second numerator. The correct subtraction should be (x + 1) - (x - 2) = x + 1 - x + 2 = 3. The student likely calculated x + 1 - x - 2, which resulted in -1.

Question 7

Explain the steps involved in adding two rational expressions.

Revolt · Accepted Answer

To add two rational expressions, first factor the denominators to find the least common denominator (LCD). Next, rewrite each expression so they both have the LCD by multiplying the numerator and denominator by any missing factors (multiplying by a form of one). Then, add the numerators together while keeping the denominator the same. Finally, factor the resulting numerator if possible and simplify the expression by dividing out common factors from the numerator and denominator.

Question 8

Which of the following steps did you include?

Revolt · Accepted Answer

AssessCtrlb5ee9319-ba59-4d30-b55d-769230d6a71f_1_A,AssessCtrlb5ee9319-ba59-4d30-b55d-769230d6a71f_1_B,AssessCtrlb5ee9319-ba59-4d30-b55d-769230d6a71f_1_C,AssessCtrlb5ee9319-ba59-4d30-b55d-769230d6a71f_1_D

Question 9

Question 9

Revolt · Accepted Answer

: 3; : 5

Question 10

Enter the values for the highlighted variables to complete the steps to find the sum:

Revolt · Accepted Answer

: 3; : -6; : 1; : 5; : 1; : 8; : -6

Adding and Subtracting Rational Expressions Answers

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