Semester Exam Review (Fall)

Front

What is the x-intercept of the equation 5x + 4y = 20?

Back

The x-intercept is the point where the graph crosses the x-axis. To find it, set y = 0: 5x + 4(0) = 20, which gives x = 4.

Front

What is the y-intercept of the equation 5x + 4y = 20?

Back

The y-intercept is the point where the graph crosses the y-axis. To find it, set x = 0: 5(0) + 4y = 20, which gives y = 5.

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 does a slope of -2 indicate in a linear relationship?

Back

A slope of -2 indicates that for every 1 unit increase in x, y decreases by 2 units.

Front

What is the equivalent expression for 2x^2 + (4x - 6x^2) + 9 - (6x + 3)?

Back

The equivalent expression is -4x^2 - 2x + 6.

Front

How do you solve the equation -5x - (-7 - 4x) = -2(3x - 4)?

Back

First, simplify both sides: -5x + 7 + 4x = -6x + 8. Then combine like terms and solve for x, which gives x = 1/5.

Front

What is the zero of the function y = 1/2x - 4?

Back

The zero is found by setting y = 0: 0 = 1/2x - 4, which gives x = 8.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

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.