TEAS NURSING EXAM: MATH:
QUESTIONS AND WELL DETAILLED
ANSWERS
ORDER OF OPERATIONS STEP 1: - ANSWER>>MUST BE IN CORRECT ORDER:
PEMDAS
P - PARENTHESIS
1. PERFORM OPERATIONS IN PARENTHESIS - WORK ON INNER-MOST SET FIRST,
THEN WORK OUTWARD.
4 + (3 x (5+2)) SIMPLIFY INNERMOST PARENTHESIS FIRST...
= 4 + (3 x 7) SIMPLIFY WITHIN PARENTHESI
=4+21 = 25
ORDER OF OPERATIONS STEP 2: - ANSWER>>PEMDAS
E - EXPONENTS
SIMPLIFY ANY EXPONENTS.
(3-1) 2(EXPONENT) + 6 - SIMPLIFY WITHIN PARENTHESIS
(2) 2 (EXPONENT) + 6 - SIMPLIFY EXPONENT
4+6 = 10
,ORDER OF OPERATIONS STEP 3/4: - ANSWER>>PEMDAS
M- MULTIPLICATION D-DIVISION
COMPLETE MULTIPLICATION AND DIVISION FROM LEFT TO RIGHT:
2 x x 2 - FROM LEFT TO RIGHT
2 x 8 = 16
16/4 x 2 - FROM LEFT TO RIGHT
16/4 = 4 x2 = 8
ORDER OF OPERATIONS STEP 5/6: - ANSWER>>PEMDAS
A- ADDITION S- SUBTRACTION
COMPLETE ADDITION AND SUBTRACTION FROM LEFT TO RIGHT
ORDER OF OPERATION EXAMPLE:
-2 (3-5+2) - ANSWER>>= -2(-2+2)
= -2(0)
=0
ORDER OF OPERATION EXAMPLE:
2 + 6 x 3 - ANSWER>>= 2+18
= 20
,() x 5 - 6 + 2 x 7 -3 - ANSWER>>= 8 x 5 - 6 + 2 x 7 - 3
= 40 - 6 + 14 - 3
= 45
ONE & TWO STEP WORD PROBLEMS WITH WHOLE NUMBERS EX:
A DOCTOR MUST GIVE A PATIENT 100 MILLIGRAMS (MG) OF MEDS. THE MEDS IS
SUPPLIED IN 50 MG TABLETS. HOW MANY SHOULD THE PATIENT RECEIVE? -
ANSWER>>100/50 = 2 mg
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
1/4 + 1/6 = - ANSWER>>LDC: 12
= 5/12
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS STEPS: - ANSWER>>TO ADD/SUBTRACT FRACTIONS CONVERT
ANY MIXED NUMBERS TO IMPROPER FRACTIONS FIRST.
THEN DETERMINE LCD (LEAST COMMON DENOMINATOR) - SMALLEST COMMON
MULTIPLE THAT BOTH DENOMINATORS DIVIDE INTO EVENLY.
ONCE LCD FOUND, REWRITE EACH FRACTION AS EQUIVALENT FRACTIOON WITH
LCD.
ADD/SUBTRACT NUMERATORS - LEAVING DENOMINATORS SAME.
MAKE SURE SIMPLIFIED
, ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
2/3 + 5/12 = - ANSWER>>LDC: 12
1 1/12
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
3/8 + 5/6 = - ANSWER>>LCD: 24
1 5/24
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
3 - 5 1/3 = - ANSWER>>9/3 - 16/3 =
= 2 1/3
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
3/15 - 2/25 = - ANSWER>>3/15 = 1/5
2/25 - 5/25 =
3/25
QUESTIONS AND WELL DETAILLED
ANSWERS
ORDER OF OPERATIONS STEP 1: - ANSWER>>MUST BE IN CORRECT ORDER:
PEMDAS
P - PARENTHESIS
1. PERFORM OPERATIONS IN PARENTHESIS - WORK ON INNER-MOST SET FIRST,
THEN WORK OUTWARD.
4 + (3 x (5+2)) SIMPLIFY INNERMOST PARENTHESIS FIRST...
= 4 + (3 x 7) SIMPLIFY WITHIN PARENTHESI
=4+21 = 25
ORDER OF OPERATIONS STEP 2: - ANSWER>>PEMDAS
E - EXPONENTS
SIMPLIFY ANY EXPONENTS.
(3-1) 2(EXPONENT) + 6 - SIMPLIFY WITHIN PARENTHESIS
(2) 2 (EXPONENT) + 6 - SIMPLIFY EXPONENT
4+6 = 10
,ORDER OF OPERATIONS STEP 3/4: - ANSWER>>PEMDAS
M- MULTIPLICATION D-DIVISION
COMPLETE MULTIPLICATION AND DIVISION FROM LEFT TO RIGHT:
2 x x 2 - FROM LEFT TO RIGHT
2 x 8 = 16
16/4 x 2 - FROM LEFT TO RIGHT
16/4 = 4 x2 = 8
ORDER OF OPERATIONS STEP 5/6: - ANSWER>>PEMDAS
A- ADDITION S- SUBTRACTION
COMPLETE ADDITION AND SUBTRACTION FROM LEFT TO RIGHT
ORDER OF OPERATION EXAMPLE:
-2 (3-5+2) - ANSWER>>= -2(-2+2)
= -2(0)
=0
ORDER OF OPERATION EXAMPLE:
2 + 6 x 3 - ANSWER>>= 2+18
= 20
,() x 5 - 6 + 2 x 7 -3 - ANSWER>>= 8 x 5 - 6 + 2 x 7 - 3
= 40 - 6 + 14 - 3
= 45
ONE & TWO STEP WORD PROBLEMS WITH WHOLE NUMBERS EX:
A DOCTOR MUST GIVE A PATIENT 100 MILLIGRAMS (MG) OF MEDS. THE MEDS IS
SUPPLIED IN 50 MG TABLETS. HOW MANY SHOULD THE PATIENT RECEIVE? -
ANSWER>>100/50 = 2 mg
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
1/4 + 1/6 = - ANSWER>>LDC: 12
= 5/12
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS STEPS: - ANSWER>>TO ADD/SUBTRACT FRACTIONS CONVERT
ANY MIXED NUMBERS TO IMPROPER FRACTIONS FIRST.
THEN DETERMINE LCD (LEAST COMMON DENOMINATOR) - SMALLEST COMMON
MULTIPLE THAT BOTH DENOMINATORS DIVIDE INTO EVENLY.
ONCE LCD FOUND, REWRITE EACH FRACTION AS EQUIVALENT FRACTIOON WITH
LCD.
ADD/SUBTRACT NUMERATORS - LEAVING DENOMINATORS SAME.
MAKE SURE SIMPLIFIED
, ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
2/3 + 5/12 = - ANSWER>>LDC: 12
1 1/12
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
3/8 + 5/6 = - ANSWER>>LCD: 24
1 5/24
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
3 - 5 1/3 = - ANSWER>>9/3 - 16/3 =
= 2 1/3
ADDITION/SUBTRACTION OF FRACTIONS/MIXED NUMBERS WITH UNLINE
DENOMINATORS EXAMPLE:
3/15 - 2/25 = - ANSWER>>3/15 = 1/5
2/25 - 5/25 =
3/25
