Midterm Review

Front

What is the solution to the equation -15 = 5a + 12 - 2a + 6?

Back

a = -11

Front

What is the solution to the equation -14a + 20 = 14a - 8?

Back

a = 1

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1). For points (6,7) and (4,2), m = (2 - 7) / (4 - 6) = 5/2.

Front

What does it mean for two lines to be parallel?

Back

Parallel lines never intersect because they have the same slope.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation. 2. Use a dashed line for < or >, and a solid line for ≤ or ≥. 3. Shade the appropriate region.

Front

What is the formula for the slope-intercept form of a line?

Back

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