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WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). IS IS THE SAME AS EQUALS IS AS MUCH AS IS EQUAL TO IS IDENTICAL TO WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). A number is equal to five. x WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). A number is equal to five. x = WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). A number is equal to five. x = 5 WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). PLUS ADDED TO THE SUM OF MORE THAN GREATER THAN WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6 WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6 + WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6 + x WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6 + x = WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6 + x = 13 WRITING EQUATIONS Verbal expressions SUBTRACTION MINUS SUBTRACTED FROM LESS THAN LESS DIFFERENCE WRITING EQUATIONS Verbal expressions MULTIPLICATION THE PRODUCT OF TIMES TWICE (times 2) OF MULTIPLIED BY WRITING EQUATIONS Verbal expressions DIVISION THE QUOTIENT OF DIVIDED BY DIVIDED INTO WRITING EQUATIONS PRACTICE Six more than a number is twenty. 6 WRITING EQUATIONS PRACTICE Six more than a number is twenty. + 6 WRITING EQUATIONS PRACTICE Six more than a number is twenty. x + 6 WRITING EQUATIONS PRACTICE Six more than a number is twenty. x + 6 = WRITING EQUATIONS PRACTICE Six more than a number is twenty. x + 6 = 20 WRITING EQUATIONS PRACTICE Two less than a number is fourteen. 2 WRITING EQUATIONS PRACTICE Two less than a number is fourteen. - 2 WRITING EQUATIONS PRACTICE Two less than a number is fourteen. x - 2 WRITING EQUATIONS PRACTICE Two less than a number is fourteen. x - 2 = WRITING EQUATIONS PRACTICE Two less than a number is fourteen. x - 2 = 14 WRITING EQUATIONS PRACTICE Four less than twice a number is five 2x - 4 = 5 WRITING EQUATIONS PRACTICE The sum of twice x and three times y is sixty. 2x + 3y = 60 WRITING EQUATIONS PRACTICE The square of a number minus 3 is the same as two. x2 - 3 = 2 WRITING EQUATIONS LET’S WORK THE OTHER WAY. Translate into a verbal sentence. 5x + 2 = 1 Two more than the product of five and a number is one or The sum of five times a number and two is the same as one or Two added to the product of five and a number equals one PROBLEM SOLVING FIVE STEPS TO PROBLEM SOLVING 1. Define a variable 2. Write an equation 3. Solve the equation 4. Answer the problem 5. Check your answer PROBLEM SOLVING FIVE STEPS TO PROBLEM SOLVING SAMPLE PROBLEM Five more than a number is eleven. Define a variable x = the number Write an equation x + 5 = 11 Solve the equation x=6 Answer the problem The number is 6 Check your answer 5 more than 6 is 11. SOLVING EQUATIONS Using Addition and Subtraction ADDITION PROPERTY OF EQUALITY For any numbers a, b, and c, if a = b, then a + c = b + c 20 = 20 20 + 5 = 20 + 5 25 = 25 SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: x – 3 = 7 +3 Equivalent Equation +3 x = 10 Check: 10 – 3 = 7 True SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: x + 6 = 2 -6 -6 x = -4 Check: -4 + 6 = 2 True SOLVING EQUATIONS Solving Equations (Sample Using Addition and Subtraction SAMPLE PROBLEMS Solve: 11 + x = -5 -11 -11 x = -16 Check: 11 + (-16) = -5 True 3) SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: 55 – x = 70 -55 NOTE: sign stays with x -55 -x = 15 Change signs x = -15 Check: 55 – (-15) = 70 True SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS 1 2 Solve: x 3 5 1 1 + /3 + /3 2 1 6 5 11 x 5 3 15 15 15 Check: 11/15 – 1/3 = 11/15 – 5/15 = 6/15 = 2/5 True