Algebra EOC Review

Front

Find the slope of the line that passes through the points (1,8) and (3,12).

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). For the points (1,8) and (3,12), m = (12 - 8) / (3 - 1) = 4 / 2 = 2.

Front

What does the line of best fit represent in a scatter plot?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It shows the trend of the data points and can be used for predictions.

Front

Calculate the area of a rectangle with a length of 3 cm and a width of 4 cm.

Back

Area = length × width = 3 cm × 4 cm = 12 cm².

Front

What can be said about the slopes of parallel lines?

Back

The slopes of parallel lines are identical, meaning they have the same steepness and direction.

Front

Determine the common difference in the arithmetic sequence: 29, 21, 13, 5, ...

Back

The common difference (d) is found by subtracting consecutive terms. d = 21 - 29 = -8.

Front

What is the formula for the slope of a line?

Back

The formula for the slope (m) of a line is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the formula for the area of a triangle?

Back

The area (A) of a triangle is given by the formula A = 1/2 × base × height.

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

In the slope-intercept form of a linear equation, y = mx + b, the slope (m) is the coefficient of x.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals, meaning if one slope is m, the other slope is -1/m.