Exploring North Carolina Algebra EOC Questions 1-21

The video tutorial is an Algebra 1 EOC review session focusing on solving various math problems, including graphing, equations, word problems, sequences, and functions. It covers topics like calculating profit, understanding arithmetic and geometric sequences, and exploring quadratic and exponential functions. The session aims to prepare students for the EOC exam by enhancing their problem-solving skills and understanding of key algebraic concepts.

What does a y-intercept of 5 indicate in a linear equation?

• The line has a slope of 0.

• The line is parallel to the x-axis.

• The line crosses the y-axis at 5.

• The slope of the line is 5.

How do you determine the slope of a line from a graph?

• By dividing the change in y by the change in x

• By multiplying the x and y intercepts

• By adding the x and y intercepts

• By subtracting the y-intercept from the x-intercept

What is the result of factoring the difference of two perfect squares?

• A sum of two squares

• Two binomials multiplied

• A binomial squared

• A single variable squared

What does the expression 'y < 2x + 5' represent?

• An exponential function

• A quadratic equation

• An inequality showing a region below a line

• A linear equation

How do you solve a word problem involving rates?

• By subtracting one rate from another

• By adding the rates together

• By dividing the rates

• By setting distances equal

In a system of equations, what does it mean if two lines intersect at a point?

• The system has exactly one solution.

• The system has no solution.

• The lines are parallel.

• The system has infinitely many solutions.

What is the key characteristic of an exponential function?

• It remains constant.

• It increases exponentially over time.

• It increases at a constant rate.

• It decreases over time.

What is the purpose of defining variables in a word problem?

• To identify the unknowns and set up equations

• To simplify the problem

• To confuse the reader

• To make the problem longer

How do you find the vertex of a parabola given in standard form?

• By calculating the slope

• By using the formula -b/2a

• By setting the equation to zero

• By finding the x-intercepts

What does the horizontal asymptote of an exponential function represent?

• The maximum value of the function

• The x-value the function approaches as y approaches infinity

• The y-value the function approaches as x approaches infinity

• The minimum value of the function