Algebra Semester 1 Review

Front

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

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1), where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are negative reciprocals of each other. If one line has a slope of m, the other will have a slope of -1/m.

Front

How do you solve the inequality 2x - 7 < 5?

Back

To solve the inequality, first add 7 to both sides: 2x < 12. Then divide by 2: x < 6.

Front

What does a positive correlation in a graph indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

What does a negative correlation in a graph indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What does no correlation in a graph indicate?

Back

No correlation indicates that there is no predictable relationship between the two variables.

Front

How do you determine if a point is a solution to an equation?

Back

To determine if a point (x, y) is a solution, substitute x and y into the equation. If both sides of the equation are equal, then it is a solution.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.