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WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). IS EQUALS IS EQUAL TO IS THE SAME AS IS AS MUCH AS IS IDENTICAL TO Verbal Expressions for =

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WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). A number is equal to five. x Writing equations #1

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WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). A number is equal to five. x= Writing equations #2

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WRITING EQUATIONS Verbal expressions that suggest the equals sign ( = ). A number is equal to five. x=5 Writing equations #3

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WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). PLUS ADDED TO THE SUM OF MORE THAN GREATER THAN Writing equations #4

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WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6 Writing equations #5

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WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6+ Writing equations #6

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WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6+x Writing equations #7

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WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6+x= Writing equations #8

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WRITING EQUATIONS Verbal expressions that suggest the addition sign ( + ). Six added to a number is thirteen. 6+x=13 Writing equations #9

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WRITING EQUATIONS Verbal expressions MINUS SUBTRACTED FROM DIFFERENCE LESS THAN LESS SUBTRACTION Writing equations #10

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WRITING EQUATIONS Verbal expressions THE PRODUCT OF TIMES MULTIPLIED BY TWICE (times 2) MULTIPLICATION OF Writing equations #11

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WRITING EQUATIONS Verbal expressions THE QUOTIENT OF DIVIDED BY DIVIDED INTO DIVISION Writing equations #12

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WRITING EQUATIONS Six more than a number is twenty. 6 PRACTICE Writing equations #13

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WRITING EQUATIONS Six more than a number is twenty. 6 PRACTICE + Writing equations #14

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WRITING EQUATIONS Six more than a number is twenty. 6 PRACTICE +x Writing equations #15

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WRITING EQUATIONS Six more than a number is twenty. 6 PRACTICE +x= Writing equations #16

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WRITING EQUATIONS Six more than a number is twenty. 6 PRACTICE +x=20 Writing equations #17

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WRITING EQUATIONS Two less than a number is fourteen. 2 PRACTICE Writing equations #18

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WRITING EQUATIONS Two less than a number is fourteen. 2 PRACTICE - Writing equations #19

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WRITING EQUATIONS Two less than a number is fourteen. 2 PRACTICE -x Writing equations #20

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WRITING EQUATIONS Two less than a number is fourteen. 2 PRACTICE -x= Writing equations #21

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WRITING EQUATIONS Two less than a number is fourteen. 2 PRACTICE -x=14 Writing equations #22

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WRITING EQUATIONS Four less than twice a number is five 4 PRACTICE -2x=5 Writing equations #23

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WRITING EQUATIONS The sum of twice x and three times y is sixty. 3y PRACTICE +2x=60 Writing equations #24

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WRITING EQUATIONS The square of a number minus 3 is the same as two. 3 PRACTICE -x 2 =2 Writing equations #25

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WRITING EQUATIONS Translate into a verbal sentence. LET’S WORK THE OTHER WAY. 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 Writing equations #26

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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 5 Steps to Problem Solving w/equations

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PROBLEM SOLVING SAMPLE PROBLEM FIVE STEPS TO PROBLEM SOLVING Five more than a number is eleven. Define a variablex = the number Write an equationx + 5 = 11 Solve the equationx = 6 Answer the problem The number is 6 Check your answer5 more than 6 is 11. Sample Problem

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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 Addition Property of Equality

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SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: x – 3 = 7 +3 x = 10 Check: 10 – 3 = 7 True Equivalent Equation Solving Equations (Sample 1)

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SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: x + 6 = 2 -6 x = - 4 Check: - 4 + 6 = 2 True Solving Equations (Sample 2)

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SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: 11 + x = - 5 -11 x = - 16 Check: 11 + (-16) = - 5 True Solving Equations (Sample 3)

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SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: 55 – x = 70 -55 -x = 15 Check: 55 – (-15) = 70 True x = -15 Change signsNOTE: sign stays with x Solving Equations (Sample 4)

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SOLVING EQUATIONS Using Addition and Subtraction SAMPLE PROBLEMS Solve: + 1 / 3 Check: 11/15 – 1/3 = 11/15 – 5/15 = 6/15 = 2/5 True Solving Equations (Sample 5)

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