Understanding Inequalities and Functions

The video tutorial covers the June 2023 Algebra 1 Regents exam, focusing on solving equations algebraically, graphing functions, identifying zeros, analyzing patterns, constructing box plots, factoring expressions, applying the quadratic formula, graphing systems of inequalities, performing linear regression, and calculating costs and savings. Each section provides detailed explanations and step-by-step solutions to help students understand and apply mathematical concepts effectively.

What is the main focus of the Algebra 1 Regents exam video?

• Solving calculus problems

• Reviewing geometry concepts

• Covering parts two, three, and four of the Algebra 1 Regents

• Discussing history topics

In solving the equation algebraically for x, what is the first step?

• Multiply by 3

• Distribute the negative 2.4

• Add 5 to both sides

• Subtract 10 from both sides

What are the zeros of a function?

• Points where the graph crosses the y-axis

• Points where the graph is vertical

• Points where the graph crosses the x-axis

• Points where the graph is horizontal

How can you determine if a pattern is increasing exponentially?

• By checking if the pattern subtracts the same number each time

• By checking if the pattern multiplies by the same number each time

• By checking if the pattern divides by the same number each time

• By checking if the pattern adds the same number each time

What is the first step in constructing a box plot?

• Find the median

• Enter data into the L1 column

• Calculate the mean

• Draw a histogram

What is the standard form of a polynomial?

• Writing terms in ascending order of power

• Writing terms in descending order of power

• Writing terms in alphabetical order

• Writing terms in random order

How can a relation be modified to become a function?

• By ensuring each y-value has multiple x-values

• By ensuring each y-value has a unique x-value

• By ensuring each x-value has a unique y-value

• By ensuring each x-value has multiple y-values

What is the first step in factoring an expression completely?

• Add 10 to each term

• Divide each term by 5

• Multiply each term by 2

• Factor out the greatest common factor

What formula is used to solve a quadratic equation algebraically?

• Quadratic formula

• Pythagorean theorem

• Area of a circle

• Slope-intercept form

What is the shape of the graph of an absolute value function?

• A V-shape

• A circle

• A parabola

• A straight line