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HPC 2.7-2.8 Practice

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2.7) I can… solve a rational equation and eliminate any extraneous solutions.
Question 1
1.

Solve the equation. Eliminate any extraneous solutions.


Report your answers for x in numerical order.

Question 2
2.

Solve the equation for x. Eliminate any extraneous solutions.

Question 3
3.

Solve the equation for x. Eliminate any extraneous solutions.

Question 4
4.

What is the value for A in the following equation?

Question 5
5.

What is the value for B in the following equation?

Question 6
6.

What is the partical fraction decomposition of f(x)?

2.8a) I can… solve polynomial inequalities.
Question 7
7.

Solve the inequality. Report your answer in interval notation.

Question 8
8.
Factor and solve the inequality.
Factored form: _______ ≤ 0

Solution in interval notation: _______
*use "inf" for infinity
Question 9
9.

Given the graph of f(x) below, state the solution for f(x) > 0 in interval notation.

Question 10
10.

Given the graph of f(x) below, state the solution for f(x) < 0 in interval notation.

2.8b) I can… solve rational inequalities.
Question 11
11.

Solve the inequality.

Question 12
12.

Combine the fractions and solve the inequality.

Question 13
13.

Given the graph of

State the solution for y > 0 in interval notation. Please use the infinity and union symbols when reporting your answer.

Question 14
14.

Given the graph of

State the solution for y < 0 in interval notation. Please use the infinity and union symbols when reporting your answer.