Algebra Regents Review: Key Concepts and Problems

The video reviews a Regents exam, focusing on multiple-choice algebra questions. It covers topics such as cost functions, simplifying expressions, evaluating functions, identifying functions, calculating rates of change, solving equations, using inequalities, and multiplying binomials. Each question is explained step-by-step, emphasizing key algebraic concepts and problem-solving strategies.

What is the base cost for hiring a tour guide from the Island Kayak Company?

• $280

• $0

• $245

• $35

What is the minimum cost for a group of 10 members to hire the kayak tour package?

• $600

• $245

• $350

• $595

After distributing and combining like terms, what is the simplified form of 3(x + 4) - (2x + 7)?

• 3x - 2

• x + 5

• x - 3

• 5x + 12

What does the expression '3(x + 4) - (2x + 7)' simplify to?

• 3x + 1

• x + 5

• 5x + 1

• x - 3

What is the value of k(-3) for the function k(x) = 2x^2 - 5x + 3?

• 0

• 3

• -36

• 36

Which of the following relations is NOT a function?

• A relation with all x values going to unique y values

• A relation with two x values going to the same y value

• A relation with all x values going to one y value

• A relation with one x value going to two different y values

What was the average rate of change per month for Tony's investment?

• $228

• $36

• $19

• $684

Solving 3(x - 8) + 4x = 8x + 4 gives x equals to?

• 4

• -28

• 0

• 28

Which inequality determines the maximum number of milkshakes Donna can buy?

• 1.5n + 2c ≥ 19

• 1.5n + 2c ≤ 19

• 1.5c + 2n ≤ 19

• 1.5c + 2n ≥ 19

What is the standard form of the product (3 + x)(2x - 5)?

• 6x^2 - 15x

• 2x^2 - 4x - 15

• 2x^2 + x - 15

• x^2 + 6x - 15