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Learn how to write equations involving addition, subtraction, multiplication, and division with step-by-step examples. Understand the various forms of equations and their statements for better math comprehension.
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Recap Equations involving Addition and their Statement Equations involving Addition operation read in some possible ways Sum of 12 and y equals 20 y added to 12 gives 20 12 + y = 20 12 increased by y is 20 Statement for an equation can be written in many forms
Recap - Equations involving Subtraction and their Statement Equations involving subtraction operation read in some possible ways Differenceof x and 8 is 12 8 less than x equals 12 x – 8 = 12 x reduced by 8 gives 12 x decreased by 8 is 12 8 subtracted from x is 12 x subtracted by 8 is 12 Statement for an equation can be written in many forms
Recap Equations involving Multiplication and their Statement Equations involving Multiplication operation read in some possible ways Product of 2 and m is 42 2m = 2 x m Or 2 * m Twice of m equals 42 2m = 42 2 multiplied by m is 42 Two times m gives 42 Double of m is 42 Statement for an equation can be written in many forms
Recap Equations involving Division and their Statement Equations involving Division operation read in some possible ways Quotient of 35 and y is 5 35 divided by y equals 5 Quotient of x and 4 is 9 x divided by 4 gives 9 one fourth of x is 9 Statement for an equation can be written in many forms
Let us write equations with one variable for the statements Example 1: Write equation for the given statement Nine added to x equals 14 Step 1: Read the given Statement Nine added to ‘x’ equals 14 Step 2: Understand each phrase and interpret the equation ‘9’ is added to x is x+ 9 sum is 14 Step 3: x + 9 = 14 Represent mathematically as Equation LHS RHS Ans: Equation form of Nine added to x equals 14 is x + 9 = 14
Let us write equations with one variable for the statements Example 2:Write equation for the given statement Thirteen subtracted by x equals 7 Step 1: Thirteen subtracted by ‘x’ equals 7 Read the given Statement Step 2: Understand each phrase and interpret the equation Difference is 7 ‘13’ is subtracted by x is 13 - x Step 3: 13 - x = 7 Represent mathematically as Equation LHS RHS Ans: Equation form of Thirteen subtracted by x equals 7 is 13 - x = 7
Let us write equations with one variable for the statements Example 3:Write equation for the given statement Twenty subtracted from m equals 8 Step 1: Read the given Statement Twenty subtracted from m equals 8 Step 2: Understand each phrase and interpret the equation ‘20’ is subtracted from m is m - 20 Difference is 8 Step 3: m - 20 = 8 Represent mathematically as Equation LHS RHS Ans: Equation form of Twenty subtracted from m equals 8 is m - 20 = 8
Let us write equations with one variable for the statements Example 4:Write equation for the given statement Ten times x gives 20 Step 1: Read the given Statement Ten times x gives 20 Step 2: Understand each phrase and interpret the equation ‘10’ times x is 10 *x= 10x Product is 20 Step 3: 10x = 20 Represent mathematically as Equation LHS RHS Ans: Equation form of Ten times x gives 20 is 10x = 20
Let us write equations with one variable for the statements Example 5:Write equation for the given statement Quotient of 48 and y equals 16 Step 1: Read the given Statement Quotient of 48 and y equals 16 Step 2: Understand each phrase and interpret the equation Quotient is 16 Quotient of 48 and y is 48 divided by y Step 3: 48 ÷ y = 16 Represent mathematically as Equation LHS RHS Ans: Equation form of Quotient of 48 and y equals 16 is 48 ÷ y = 16
Try These Write the equation for the statement. 1. Four added to x equal 9 2. Five subtracted from x is 8 3. Fourteen subtracted by x is 10 4. Nine times x is 45 Quotient of 26 and x is 13