ALGEBRA I - BENCHMARK PRACTICE2024

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is Slope-Intercept Form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does the x-intercept represent in a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y = 0).

Front

How do you find the x-intercept of the equation x - y = 1?

Back

Set y = 0, then solve for x: x - 0 = 1, so x = 1.

Front

What is the process to solve for x in the equation 10 + 6x = 34?

Back

Subtract 10 from both sides: 6x = 24, then divide by 6: x = 4.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

How do you interpret the slope in a real-world context, such as population growth?

Back

The slope represents the rate of change; for example, a slope of 250 means the population increases by 250 people per year.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0; it indicates where the line crosses the y-axis.