Algebra 1 Semester 1 Review

Front

What is the rate of change of y with respect to x in a linear function?

Back

The rate of change is the slope of the line, which represents how much y changes for a unit change in x.

Front

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

Back

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

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, and A should be non-negative.

Front

How do you convert the slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to the form Ax + By = C.

Front

What does it mean for a point to be in the solution set of an inequality?

Back

It means that the point satisfies the inequality when substituted into it.

Front

How do you solve a system of equations graphically?

Back

Graph both equations on the same coordinate plane and identify the point(s) where they intersect.

Front

What is the meaning of a negative slope?

Back

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

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point's coordinates into both equations; if both equations are true, the point is a solution.

Front

What is the formula for calculating total cost in a scenario with fixed and variable costs?

Back

Total Cost = Fixed Cost + (Variable Cost per Hour * Number of Hours).

Front

How do you isolate a variable in an equation?

Back

Use inverse operations to get the variable on one side of the equation by itself.