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Algebra 2 8-4 Mixed Review: Rational Expressions

Last updated about 3 years ago

9 questions

14

5

5

10

10

10

5

9

9

Question 1

1.

Review Lesson 8-3: Categorize the vertical asymptotes and holes in the left column based on which function's graph they describe. You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

no holes
hole at x = 4
hole at x = 3
no vertical asymptotes
vertical asymptote: x = -1
vertical asymptote: x = -3
vertical asymptote: x = -\frac{2}{3}

y=\frac{x-3}{x-3}
y=\frac{x-1}{\left(3x+2\right)\left(x+1\right)}
y=\frac{\left(x-4\right)\left(x+5\right)}{\left(x+3\right)\left(x-4\right)}

Question 2

2.

Review Lesson 7-3: Evaluate the logarithm.
Enter only a number.

Question 3

3.

Review Lesson 7-3: Evaluate the logarithm.
Enter only a number.

Question 4

4.

Review Lesson 6-5: Solve. Check for extraneous solutions.
Enter only a number.

Question 5

5.

Review Rational Numbers: Add.
Enter only a rational number (fraction).

Question 6

6.

Review Rational Numbers: Subtract.
Enter only a number (fraction).

Question 7

7.

Vocabulary Review: Identify the fractions that are in simplest form. Select all that apply.

5/11

3/5

6/9

2/6

7/12

Question 8

8.

Vocabulary Review: Match the fractions on the left with their simplest form on the right.

48/64
16/27
36/54

16/27
3/4
2/3

Question 9

9.

Use Your Vocabulary: Categorize each expression on the left based on whether or not it is a rational expression.

\frac{4x}{x^2-5}
\frac{\sqrt{6x-8}}{3x-4}
\frac{3x^{-2}}{x+4}

Rational Expression
NOT a Rational Expression