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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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September 10, 2014
Solving Linear Equations
&
Literal Equations
Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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September 10, 2014
EXAMPLE 1
Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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EXAMPLE 2
Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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ALL REAL NUMBERS
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EXAMPLE 3
Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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EXAMPLE 4
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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EXAMPLE 5
7 2 4
11 1
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EXAMPLE 6
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EXAMPLE 7
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EXAMPLE 8
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EXAMPLE 9
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EXAMPLE 10
Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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EXAMPLE 11
Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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EXAMPLE 12
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1
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EXAMPLE 13
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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EXAMPLE 14
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EXAMPLE 15
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EXAMPLE 16
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EXAMPLE 17
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EXAMPLE 18
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Lesson 5 Solving Linear Equations, Literal Equations, Formulas, Word Problems
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Problem Solving
with
Linear Equations
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Five more than four times a number is that number increased by 35. Find the number.
SOLUTION
EXAMPLE 19
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Six less than seven times a number is three timesthat number increased by 38. Find the number.
SOLUTION
EXAMPLE 20
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The sum of two consecutive integers is 51.
Find the numbers.
1st number = x 2nd number = x + 1.
EXAMPLE 21
SOLUTION
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The sum of three consecutive
integers is 171. Find the numbers.
1st number = x, 2nd number = x + 1
3rd number = x + 2
EXAMPLE 22
SOLUTION
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The sum of three consecutive even
integers is 66. Find the numbers.
1st number = x, 2nd number = x + 2,
3rd number = x + 4
EXAMPLE 23
SOLUTION
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You are choosing between two longdistance telephone
plans. Plan A has a monthly fee of $20 with a charge of
$0.05 per minute for all longdistance calls. Plan B has
a monthly fee of $5 with a charge of $0.10 per minute
for all longdistance calls. How many minutes of long
distance calls will the costs for the two plans be the same?
EXAMPLE 24
SOLUTION
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You inherit $16,000 with the stipulation that
for the first year the money must be placed in
two investments paying 6% and 8% annual
interest, respectively. How much should be
invested at each rate if the total interest earned
for the year is to be $1180.
EXAMPLE 25
SOLUTION
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Suppose you invest $25,000, part at 9% simple
interest and the remainder at 12%. If the total
yearly interest from these investments was $2550,
find the amount invested at each rate.
EXAMPLE 26
SOLUTION
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The length of an American football field is
200 feet more than the width. If the perimeter
of the field is 1040 feet, what are its dimensions?
EXAMPLE 27
SOLUTION
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The length of a soccer field is 6 less than
twice its width. If the perimeter of the field
is 192 feet, what are its dimensions
EXAMPLE 28
SOLUTION
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