Front

What is an absolute value inequality?

Back

An absolute value inequality is an inequality that contains an absolute value expression, which represents the distance of a number from zero on a number line.

Front

How do you solve the inequality |x - 5| < 3?

Back

To solve |x - 5| < 3, split it into two inequalities: -3 < x - 5 < 3. This simplifies to 2 < x < 8.

Front

What does it mean when |x| ≥ a?

Back

It means that x is either greater than or equal to a or less than or equal to -a.

Front

Solve the inequality |p + 3| ≥ 10.

Back

p ≤ -13 or p ≥ 7.

Front

What is the solution to the inequality -8x < 48?

Back

x > -6.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips.

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Write the equation in point-slope form for the line through (4, -7) with slope -1/4.

Back

y + 7 = -1/4(x - 4).

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 slope of the line passing through the points (3, -1) and (7, 2)?

Back

The slope is 3/4.