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

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

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

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

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

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

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

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.

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.

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.