1-4 Applications and Problem Solving

Mean what you say, and say what you mean!!!

Review Phrases:Operation Phrase

Addition Sum ofIncreased by

More thanTotalPlus

Subtraction DifferenceDecreased by

Less thanMinus

Multiplication Product ofTimes

OfMultiplyTwice

DoubleDivision Quotient of

Divided by HalfThird

Special attention

5 less than x

Practice Examples:

– four more than six times a number

– half the difference between a number and three

– the quotient of seven and a number

Practical Formulas

• A = lw (Area of a Rectangle)

• P = 2l + 2w (Perimeter of a Rectangle)

• D = rt (Distance equals rate times time)

• C = np (Cost equals number of items times price per item)

Examples:

a. Find the area and perimeter of a rectangle with length 4 and width w.

b. You buy 6 pencils at m cents each and 4 notebooks at n cents each. How much did you spend?

c. You travel 40 miles per hour for x hours. How far did you travel?

Practice

• 9 more than a number• A number decreased by 11• One-third of a number• The quotient of 17 and d• The product of 11 and x• 7 more than twice y• 8 less than half of n• 5 plus the quotient of a number and 8

1-5 Translating algebra

1. Twice the sum of a number and twelve is forty.

2. When a number is multiplied by four and the result is decreased by five, the final result is nine.

3. Eight less than a number is 9. 4. The distance traveled in 4 hours was 180

miles.

Assignment:

• Ditto 1.4/1.5