Question

solve for all possible values of x.

\\(\sqrt{x - 9} + 4 = 8\\)

• \\(x = -5\\)
• \\(x = 7\\)
• \\(x = 13\\)
• \\(x = 25\\)

question 2 (multiple choice worth 6 points)
(01.08r mc)

simplify \\((8j^3 + 3j^2 + 7) - (3j^3 - 7j^2 - 7j - 12)\\).

• \\(5j^3 - 4j^2 - 7j - 5\\)
• \\(5j^3 + 10j^2 - 7j - 5\\)
• \\(5j^3 - 4j^2 + 7j + 19\\)
• \\(5j^3 + 10j^2 + 7j + 19\\)

Explanation:

Isolate the radical term

Using the Radical Equations knowledge point

$$
LATEXBLOCK0
$$

Square both sides to solve

Using the Radical Equations knowledge point

$$
LATEXBLOCK1
$$

Distribute the negative sign

Distribute the negative sign to each term in the second polynomial.

$$ -(3j^3 - 7j^2 - 7j - 12) = -3j^3 + 7j^2 + 7j + 12 $$

Combine the like terms

Group and combine the coefficients of the terms with matching powers.

$$
LATEXBLOCK2
$$

Answer:

Question 1

• (A) \(x = -5\)
• (B) \(x = 7\)
• (C) \(x = 13\)
• (D) \(x = 25\) (Correct answer)

Question 2

• (A) \(5j^3 - 4j^2 - 7j - 5\)
• (B) \(5j^3 + 10j^2 - 7j - 5\)
• (C) \(5j^3 - 4j^2 + 7j + 19\)
• (D) \(5j^3 + 10j^2 + 7j + 19\) (Correct answer)