Unit 1: Linear Expressions, Equations and Inequalities

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

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

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, or division.

Front

What does it mean for one expression to be less than another?

Back

It means that the value of the first expression is smaller than the value of the second expression.

Front

What is the first step in solving the equation 8(12x + 20) = 832?

Back

Distributing 8 to both terms inside the parentheses.

Front

How do you represent a real-world situation with an inequality?

Back

Identify the quantities involved, determine the relationship between them, and express it using an inequality symbol.

Front

What is the solution to the inequality 6x - 4x ≤ 12 - x?

Back

x ≤ 4.

Front

What does the solution n < -2 represent in a real-world context?

Back

It indicates that the value of n must be less than -2, which could represent a threshold in a problem involving negative quantities.

Front

How do you check the solution of an inequality?

Back

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

Front

What is the significance of the inequality symbol in -16 + 4n > 4(2 + 4n)?

Back

It indicates that the left side must be greater than the right side for the inequality to be true.