Topic 5 Test Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions 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.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Solve the inequality: 2x + 3 < 11.

Back

x < 4.

Front

What is the solution to the equation 2(5x + 8) = 56?

Back

x = 4.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line or coordinate plane.

Front

What is the difference between < and ≤?

Back

< means 'less than' and does not include the endpoint, while ≤ means 'less than or equal to' and includes the endpoint.

Front

How do you check if a solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What is a solution set?

Back

A solution set is the set of all values that satisfy a given inequality or equation.

Front

What is the first step in solving the equation 3(x - 2) = 12?

Back

Distribute 3 to both terms inside the parentheses: 3x - 6 = 12.