SOL Tutoring Must Know #5

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥). It represents a region of the coordinate plane.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a boundary line. Use a dashed line for < or > and a solid line for ≤ or ≥. Then shade the region that satisfies the inequality.

Front

What does the symbol '√' represent?

Back

The symbol '√' represents the square root of a number, which is a value that, when multiplied by itself, gives the original number.

Front

Simplify: √28

Back

2√7

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify: (3x² - 2x) - (-2x² + 3x)

Back

5x² - 5x

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols such as <, >, ≤, or ≥.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does the number line graph represent for x < -4?

Back

The graph represents all values of x that are less than -4, indicating that -4 is not included in the solution set.

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, and A should be non-negative.