Easymathsteps

 Graphing Inequalities on a Number Line Visualizing inequalities on a number line helps us understand which values satisfy an inequality. This lesson shows you how to graph them step by step. --- 🔸 How to Graph an Inequality Steps to follow: 1. Draw a number line 2. Mark the value in the inequality 3. Use: Open circle (○) for or — value not included Closed circle (●) for or — value included 4. Shade the direction: Left for less than Right for greater than --- ✅ Example 1: Graph  Open circle at 4 Shade to the left <=========○---------  4 ✅ Final Answer: x < 4 --- ✅ Example 2: Graph  Closed circle at –2 Shade to the right --------●=========> -2 ✅ Final Answer: x ≥ –2 --- 🔸 Quick Summary: Symbols and Circles Symbol Type of Dot Includes the Number?  or Open circle (○) ❌ No  or Closed circle (●) ✅ Yes 📝 Practice Questions: Practice: Graph the following inequalities on a number line. 1. x > 2 2. x ≤ 0 3. x ≥ –5 4. x < –1 5. x ≥ 7 📘 Keep l...

 What are Inequalities? In algebra, not all expressions are equal — some are greater or less than others. Inequalities help us compare values that are not exactly equal. --- 🔸 What is an Inequality? An inequality is a mathematical sentence that shows the relationship between two expressions using comparison symbols. --- 🔸 Common Inequality Symbols Symbol Meaning Example > Greater than x > 4 < Less than x < 7 ≥ Greater than or equal to x ≥ 2 ≤ Less than or equal to x ≤ 5 --- 🔸 Difference Between Equations and Inequalities An equation gives one exact answer:   ✅ x = 3 An inequality gives many possible answers:   ✅ x > 3 (x could be 4, 5, 100…) --- 🔸 Solving Inequalities Solving inequalities is almost the same as solving equations: You can add, subtract, multiply, or divide both sides. BUT, if you multiply or divide by a negative number, flip the sign. --- ✅ Examples Example 1: Solve x + 4 < 9 Step: Subtract 4 from both sides Answer: x < 5 Example 2: Solve –2x...

Like and Unlike Terms In algebra, knowing which terms you can combine is important. That’s where the concept of like terms and unlike terms comes in. --- ✅ What Are Like Terms? Like terms are terms that: Have the same variable, and Have the same exponent (power) Only the coefficients (numbers in front) can be different. Examples of Like Terms: 2x and 5x 3a² and -7a² x and -x --- ❌ What Are Unlike Terms? Unlike terms have: Different variables, or The same variables but different powers Examples of Unlike Terms: 3x and 4y 2a and 2a² x and x² --- ✍️ Examples Example 1: Which of the following are like terms? 5y, -2y, 3x, 7y ✅ Like terms: 5y, -2y, 7y ❌ Unlike term: 3x Example 2: Group the like terms: 2m, 3n, -4m, 5n, 6 Like terms: 2m, -4m and 3n, 5n Constant: 6 (unlike any other) --- 📝 Practice Questions 1. Identify the like and unlike terms in this set: 6x, -3x, 4y, x² 2. Group the like terms in: 2a, 3b, 5a, -2b, 7 --- ✅ Keep learning! Stay tuned for the next topic! 📖 Visit our blog: eas...

An algebraic expression is a combination of numbers, letters (variables), and mathematical operations such as addition, subtraction, multiplication, or division. ✅ Key Parts of an Expression 1. Term A term is any part of the expression that is separated by a plus (+) or minus (−) sign. Example: In the expression 3x + 4, there are two terms: 3x and 4. 2. Coefficient A coefficient is the numerical part of a term with a variable. Example: In 3x, the coefficient is 3. 3. Variable A variable is a symbol (often a letter like x or y) that represents an unknown value. Example: In 3x + 4, the variable is x. 4. Constant A constant is a fixed value with no variable attached. Example: In 3x + 4, the constant is 4. --- ✍️ Examples Example 1: Expression: 7y − 2 Terms: 7y, −2 Coefficient: 7 Variable: y Constant: −2 Example 2: Expression: 5a + 3b − 7 Terms: 5a, 3b, −7 Coefficients: 5, 3 Variables: a, b Constant: −7 --- 📝 Practice Questions 1. Identify the terms, coefficients, and constants in the exp...

Welcome back to EasyMathsGuid! In this lesson, we’re solving real-life word problems using fractions. These help you apply math to everyday situations. --- 🔶 Word Problem 1 A school bought 7 1/2 kilograms of rice for a math club event. They used 2 2/3 kilograms for lunch and 1 3/4 kilograms for dinner. Question: How much rice is left? --- 🧮 Solution: Step 1: Convert mixed numbers: 7 1/2 = 15/2 2 2/3 = 8/3 1 3/4 = 7/4 Step 2: Add lunch and dinner used: 8/3 = 32/12 7/4 = 21/12 Total used = 32/12 + 21/12 = 53/12 Step 3: Total rice = 15/2 = 90/12 Step 4: Leftover = 90/12 - 53/12 = 37/12 = 3 1/12 ✅ Final Answer: 3 1/12 kg of rice is left --- 🔷 Word Problem 2 Mary read 3/4 of a book in the morning and 2/5 in the evening. How much of the book did she read in total? --- 🧮 Solution: LCM of 4 and 5 = 20 3/4 = 15/20 2/5 = 8/20 Total = 15/20 + 8/20 = 23/20 = 1 3/20 ✅ Answer: Mary read 1 3/20 of the book --- 🔷 Word Problem 3 A water tank contains 5 1/2 liters of water. If 3 3/4 liters are used...

This lesson shows how to solve real-world problems where fractions are involved in the equation. It builds directly from Lesson 12 on dividing fractions. --- 🔍 Steps to Solve: 1. Read the word problem carefully. 2. Let the unknown number be x. 3. Translate the words into a fraction-based equation. 4. Solve by multiplying by the reciprocal or using the LCM method. 5. State your final answer clearly. --- 📘 Example 1: Problem: One-third of a number is 9. What is the number? Solution: Let the number be x. (1/3) × x = 9 Multiply both sides by 3: x = 9 × 3 = 27 ✅ Final Answer: 27 --- 📘 Example 2: Problem: Half a number minus 2 equals 3. Find the number. Solution: (1/2) × x - 2 = 3 Add 2 to both sides: (1/2) × x = 5 Multiply both sides by 2: x = 10 ✅ Final Answer: 10 --- 📘 Example 3: Problem: Two-thirds of a number equals 16. What is the number? Solution: (2/3) × x = 16 Multiply both sides by 3/2: x = 16 × (3/2) = 48/2 = 24 ✅ Final Answer: 24 --- 📝 Practice Questions: 1. One-fourth of a ...