Algebra: Concepts and Connections EOC Review 4

Front

What is the equation of a line parallel to the line represented by 2x - y = -1?

Back

The equation of a line parallel to 2x - y = -1 can be written in the form y = mx + b, where m is the slope. The slope of the given line is 2, so any line parallel to it will also have a slope of 2.

Front

How do you calculate the line of best fit for a set of data points?

Back

To calculate the line of best fit, use the formula f(t) = mt + b, where m is the slope and b is the y-intercept. You can find m and b using statistical methods such as least squares regression.

Front

What does a constant percent rate of change indicate in a population growth scenario?

Back

A constant percent rate of change indicates that the population grows by the same percentage each time period, leading to exponential growth.

Front

What does the correlation coefficient (r) indicate about the relationship between two variables?

Back

The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables. Values close to 1 or -1 indicate strong relationships, while values close to 0 indicate weak relationships.

Front

What are the first five terms of the geometric sequence defined by S_n = a(b)^n?

Back

The first five terms of the geometric sequence are 9, 27, 81, 243, and 729, where a = 3 and b = 3.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is P(t) = P_0 * e^(rt), where P_0 is the initial amount, r is the growth rate, and t is time.

Front

What does it mean if r = -0.9?

Back

If r = -0.9, it indicates a strong negative linear relationship between the two variables.

Front

How do you find the y-intercept of a line given its equation?

Back

To find the y-intercept of a line given its equation in slope-intercept form (y = mx + b), the y-intercept is the value of b.