1. Linear Equations in One Variable and Problem Solving
Section 3.4
Linear Equations in One Variable and Problem Solving

2. Table Addition Subtraction Multiplication Division Equal Sign sum
difference
product
quotient
equals
plus
minus
times
divide
gives
Added to
Subtracted from
multiply
Shared equally among
Is / was
More than
Less than
twice
per
yields
Increased by
Decreased by Of
Divided by
Amounts to
total
less
double
Divided into
Is equal to

3. Example Translate and Solve
A number added to negative five is negative seven.

4. Example Translate and Solve
A number subtracted from negative twenty amounts to one hundred four.

5. Example Translate and Solve
The product of five and the sum of negative three and a number is negative twenty.

6. Example Translate and Solve
The difference of a number and three is equal to the quotient of ten and five.

7. Example Translate and Solve
Five times the sum of a number and two is eleven less than the number times eight.

8. Example
A Toyota Camry is traveling twice as fast as a Dodge truck. If their combined speed is 105 miles per hour, find the speed of the car and find the speed of the truck.

9. Example
Coca-Cola was recently name the Most Valuable Global Brand. It has a recognition value worth $43 billion more than Disney’s. If the total value of these two global brands is $101 billion, find the value of each of the brands.

10. Example
By air, the distance from New York City to London is 2001 miles less than the distance from Los Angeles to Tokyo. If the total distance of these two distances is 8939 miles, find the distance from Los Angeles to Tokyo.