Equations and Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

Solve for a: (a + 3)/7 = 3

Back

a = 18

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution to the equation 5x - y = 16 for y?

Back

y = 5x - 16

Front

What does the inequality 15 + 6x ≤ 100 represent in a real-world context?

Back

It represents a situation where Lazer Zone charges $15 plus $6 per person, and Andrea has a maximum of $100 to spend.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., <, >) does not include the boundary value, while a non-strict inequality (e.g., ≤, ≥) includes the boundary value.

Front

What is the graph of the inequality x > 2?

Back

The graph is a number line with an open circle at 2 and a line extending to the right.

Front

What is the solution set for the inequality x > 2 or x ≤ -3?

Back

The solution set includes all numbers greater than 2 and all numbers less than or equal to -3.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constants on the other.