Download Writing and Solving Equations

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