Section 2.4 Variables and Equations

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Presentation transcript:

Section 2.4 Variables and Equations Algebra Concepts Section 2.4 Variables and Equations

Equation-mathematical sentence with an equal sign 5+3=8 numerical expressions set equal 2𝑥−6=10 algebraic expression equal to a numerical expression 4𝑥−2=5𝑥+11 algebraic expression set equal to an algebraic

A numerical expression set equal to a numerical expression is either true or false. Choose True or False #1 5− −8 =13 #2 10−20=10 #3 6+ −9 =−15 #4 3+14=17

Open sentence-an equation with one or more variables Open sentence-an equation with one or more variables. Solution (of an equation)-value for a variable that makes an open sentence true Open sentence 𝑥+15=23 Solution 𝑥=8

Writing an equation from words Identify the variable- this is the unknown Katie is going on an airplane trip. She has 22 pounds of items in her suitcase. The airlines has a 50 pound limit on each luggage piece. How many additional pounds of items can she pack in her suitcase? Unknown- additional pounds

Let 𝑥=𝑎𝑑𝑑𝑖𝑡𝑖𝑜𝑛𝑎𝑙 𝑝𝑜𝑢𝑛𝑑𝑠 𝑥+22=50 Can she take an additional 30 pounds?

30+22≠50 She cannot take an additional 30 pounds.

When you see the word “is”, it usually gets replaced with an equal sign The sum of five and a number is twenty-eight. Write the equation!!!

If a given number is a solution, it works in the open sentence. Equation 2𝑥+4=16 Is 6 a solution? Substitute 6 for x. 2(6)+4 ? 16 12+4 ? 16 16 = 16

True, False or Open Sentence #1 12 −2 =6∙4 #2 𝑔+2𝑔−10=25 #3 He plays for the Cleveland Browns. #4 The product of three and five is eight. #5 The sum of ten and a number equals fifty.