Semester Exam Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution when the lines represented by the equations are parallel and never intersect.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one corresponding y-value.

Front

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

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a table represents y as a function of x?

Back

A table represents y as a function of x if each x-value corresponds to exactly one y-value.

Front

What is the significance of parallel lines in terms of slope?

Back

Parallel lines have the same slope, meaning they rise and run at the same rate.

Front

What is the process to solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable, then substitute that expression into the other equation.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you write a system of equations based on a word problem?

Back

Identify the variables, translate the relationships into equations, and ensure the equations represent the conditions given in the problem.

Front

What is the cost of each black-and-white copy if the total cost for 68 copies is $6.00 and each color copy costs $0.15?

Back

Each black-and-white copy costs $0.08.