Complete the subtraction sentence - up to two digits

Learning Objectives Translate a 'subtraction sentence' word problem into a one-variable linear inequality. Solve for the unknown value in a linear inequality derived from a subtraction context. Apply the Subtraction and Addition Properties of Inequality to isolate a variable. Correctly interpret and apply inequality symbols (>, <, ≥, ≤) in the context of completing a subtraction sentence. Represent the solution set of a subtraction-based inequality on a number line. Verify solutions by substituting them back into the original inequality. You know that 50 - __ = 20. But what if you needed the answer to be *less than* 20? How many possible numbers could fill that blank? 🤔 In this tutorial, we will elevate the elementary concept of 'completing a subtracti...

TermDefinitionExample Linear InequalityA mathematical sentence that uses an inequality symbol (<, >, ≤, ≥) to compare two expressions, where the variable has an exponent of 1.In the sentence '90 minus a number is at least 45', the linear inequality is 90 - x ≥ 45. VariableA symbol, usually a letter (like x), that represents the unknown number we are trying to find in the subtraction sentence.In 78 - x < 50, 'x' is the variable representing the number being subtracted. Solution SetThe complete range of values for the variable that make the inequality true. Unlike an equation, an inequality often has infinite solutions.For x > 5, the solution set includes 6, 7, 5.1, 100, and all other numbers greater than 5. Inverse OperationAn operation that undoes another o...

Translating Subtraction Sentences to Inequalities a - x < b, a - x > b, a - x ≤ b, a - x ≥ b Use these formats to convert a word problem into a mathematical inequality. 'a' is the starting amount, 'x' is the unknown amount being subtracted, and 'b' is the resulting amount. Solving for a Subtracted Variable If a - x < b , then -x < b - a , which means x > a - b To solve for 'x' when it is being subtracted, first subtract 'a' from both sides. Then, multiply or divide both sides by -1 and REMEMBER to flip the inequality sign.