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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.