regent review Jun 2025

Open Ended

A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these students did not like pop music. Of the students who did not watch sports, 70% liked pop music. Complete the two-way frequency table.

Open Ended

Solve the linear inequality. Show the solution(s) as an inequality and on a number line. Always show all your mathematical reasoning.

Multiple Choice

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Multiple Choice

Which of the following could be the correct set up for the Box Method when multiply (x + 3) (2x - 4) _{(click on the question to see the image in the background...yes we usually use the right side)}

• A

• B

• C

• D

Multiple Choice

Express (3x + 2)(x - 4) as a trinomial in standard form.

• (3x^2 - 10x - 8)

• (3x^2 - 10x + 8)

• (3x^2 + 10x - 8)

• (3x^2 + 10x + 8)

Multiple Choice

Write the equation of a line perpendicular to the one pictured through the point (3,1) in point slope form.
(HINT: PERPENDICULAR LINES - FLIP AND SWITCH)

• y - 1 = 1/2 (x - 3)
• y + 1 = 2 (x + 3)
• y - 1 = - 1/2 (x - 1) 
• y - 1 = - 2 (x - 3)

Fill in the Blanks

Multiple Choice

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Open Ended

Factor the expression 2x^3 - 32x completely.

Fill in the Blanks

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident