Algebra I Regents June 2021 Review Challenge

The video covers the June 2021 Algebra Regents exam for New York State, providing a comprehensive walkthrough of both multiple choice and open-ended questions. It begins with calculator setup instructions, followed by detailed solutions to each question, including graphing and inequalities. The session concludes with solving a complex problem and summarizing key points.

What is the first step to reset your calculator for the Algebra Regents exam?

• Press the MODE button

• Press the GRAPH button

• Press the ON button

• Press SECOND and then the PLUS button

If a high school club is researching a tour package that costs $35 per person and $245 for a tour guide, which function represents the total cost for x club members?

• C(x) = 35x - 245

• C(x) = 35x + 245

• C(x) = 245x + 35

• C(x) = 35 + 245x

Which relation is NOT a function?

• (1, 2), (2, 3), (3, 4)

• (3, 4), (5, 6), (7, 8)

• (2, 3), (4, 5), (6, 7)

• (1, 2), (1, 3), (2, 4)

Which expression results in a rational number if x = 2, y = 3√2, and w = 2√8?

• x + y

• y - w

• w * y

• x - w

Which function has the smallest y-intercept?

• h(x) = -2x + 4

• g(x) = x + 1

• j(x) = 2x - 2

• f(x) = 3x - 6

What is the correct way to input the absolute value function of one half x plus three into a graphing calculator?

• Press y equals, then input the function without any additional steps.

• Press graph, then input the function directly.

• Press math, go to num, select absolute value, and then input the function.

• Press alpha, then x, and input the function directly.

In the context of the hot air balloon problem, what does the slope of 30.5 represent?

• The initial height of the balloon.

• The rate at which the balloon's height decreases.

• The rate at which the balloon's height increases per minute.

• The total height of the balloon after a certain time.

When factoring the expression x^4 - 16 completely, what is the final factored form?

• (x^2 - 4)(x^2 + 4)

• (x - 4)(x + 4)

• (x - 2)(x + 2)(x^2 + 4)

• (x^2 - 4)(x^2 - 4)

What is the vertex of the function f(x) = x^2 - 14x - 15 after completing the square?

• (7, 64)

• (-7, -64)

• (-7, 64)

• (7, -64)

What is the correct linear regression equation for estimating heart rate based on the number of jumping jacks?

• y = 1.72x + 69.4

• y = 69.4x + 1.72

• y = 69.4x - 1.72

• y = 1.72x - 69.4