Equations Inequalities ABV Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

Back

x > 1.5

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = a + b + c.

Front

If the perimeter of a triangle is 24 inches, what equation can represent the side lengths in terms of x and y?

Back

x = \frac{23 - 5y}{3}

Front

Back

To solve for y means to express y in terms of x, resulting in the equation y = \frac{2}{3}x - 4.

Front

What is absolute value?

Back

Absolute value is the distance of a number from zero on the number line, regardless of direction. It is denoted as |x|.

Front

What additional step is needed when solving an absolute value equation?

Back

You must consider both the positive and negative solutions, such as solving for x - 3 = -4.

Front

What does the inequality b ≤ -2 represent graphically?

Back

It represents all values of b that are less than or equal to -2, including -2 itself.

Front

How do you graph the inequality b > -2?

Back

Draw a number line, place an open circle at -2, and shade to the right to indicate all values greater than -2.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) do include the boundary point.