Foundations Final: Linear Expressions, Equations & 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 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 general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants and x and y are variables.

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, or not equal to the other.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥' in an inequality.

Front

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

Back

The first step is to distribute the 8 to both terms inside the parentheses, resulting in 96x + 160 = 832.

Front

What is the solution to the inequality x - 6 ≤ -2?

Back

The solution is x ≤ 4.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does the solution x ≤ -1 represent?

Back

The solution x ≤ -1 means that x can be any number less than or equal to -1.

Front

What is the significance of the solution in a real-world context?

Back

The solution provides the values that satisfy the conditions of the problem, helping to make decisions based on those values.