WARM UP

1. If a = 11 and b = 22 find [3(a + b) – 3a]

2. Simplify 3 + 5 + 8 x 2 ÷ 4

Submit when finished.

LESSON 1.3THRU 5 EQUATIONS AND TRANSLATING WORDS INTO EQUATIONSObjective: 1.To find the solution set of equations over a given domain.

2. To translate phrases into variable expressions

3. To translate word sentences into equations

EQUATIONS

An Equation is two expressions joined by an equal sign. If the equation has one or more variables it

is called an open sentenceOpen sentences can have one solution,

more than one solution or no solutionsSolutions are called the of the

equation.All the solutions form the solution set and

are put in { }

EQUATIONS

The domain of the variable is all the numbers that can be chosen from (ex: the set of real numbers)

Ex: solve x + 4 = 11 if the domain for x is {1,3,5,7,11}

EQUATIONS

Solve 2x – 5 = 13 if x {3,6,9,12} is an element of

EQUATIONS

Solve the equation m(3 –m) = 2 if m { 0,1,2,3}

EQUATIONS

Solve each equation if x {0,1,2,3,4,5,6}1. x + 6 = 72. 12 – x = 123. 4x = 244. 40 ÷ x = 8

TRANSLATING WORDS INTO SYMBOLS

Phrases in English contain no verb, therefore mathematical phrases contain no equal or inequality sign.

What words can be translated into mathematical operations?

TRANSLATING WORDS INTO SYMBOLS

Four times a number One half a number Eight more than twice a number Six less than a number

TRANSLATING SENTENCES INTO EQUATIONS

What part of speech is “is” in a sentence?

TRANSLATING SENTENCES INTO EQUATIONS

The verb of the sentence is the = in an equation.

The sum of a number and 12 is equal to 78. n + 12 = 78

TRANSLATING SENTENCES INTO EQUATIONS

If a number is decreased by 5 and the result is multiplied by 2, then the result is 26.

2(x – 5) = 26

TRANSLATING SENTENCES INTO EQUATIONS

Three less the number x equals 44.

3 – x = 44

TRANSLATING SENTENCES INTO EQUATIONS

Eight more than a number is 25.

Seven subtracted from a number is 9.

Twice a number which is decreased by 7 is 35.

Twice a number decreased by seven is 35.