Algebra 1 Part 1 Review

Front

What is the slope of a line?

Back

The slope (m) of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Evaluate f(2) for the function f(x) = 3x + 1.

Back

f(2) = 3(2) + 1 = 7.

Front

What is a direct variation?

Back

A direct variation is a relationship between two variables where one is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

Identify the equation of a line given a slope and a point.

Back

The equation can be written in point-slope form: y - y1 = m(x - x1).

Front

What does it mean for an equation to be in slope-intercept form?

Back

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

Front

How do you determine if a graph represents a direct variation?

Back

A graph represents a direct variation if it passes through the origin (0,0) and is a straight line.

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

If f(x) = 3x - 9, what is f(5)?

Back

f(5) = 3(5) - 9 = 6.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.