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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The square of a number minus 3 is the same as two. WRITING EQUATIONS PRACTICE The square of a number minus 3 is the same as two. x2 - 3 = 2 Writing equations #25

5x + 2 = 1 Writing equations #26 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 Writing equations #26

5 Steps to Problem Solving w/equations 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

FIVE STEPS TO PROBLEM SOLVING Five more than a number is eleven. 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. Sample Problem

Addition Property of Equality 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

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

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

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

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

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