Objective- To recognize symbols, variables, and types of sentences used in algebra. Equalities Inequalities = Equals- is the same as Congruent- same size.

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Presentation transcript:

Objective- To recognize symbols, variables, and types of sentences used in algebra. Equalities Inequalities = Equals- is the same as Congruent- same size and shape Similar- same shape <Is less than > Is greater than Is less than or equal to Approx. equal to = Not equal to ~

Expressions vs. Equations Numerical Variable ExpressionsEquationsInequalities (8) - 4 x y = (3) = 10 x - 4 = 13 11= 3 + 2m > 3 6y - 4 < 8 Sentences Open sentences Open sentences have solutions and can be solved.

Identify each as an expression, sentence, open sentence, equation, or inequality. 1) 3x + 5 = 11 2) 7 < 2(5) + 3 3) 5x - 2 4) 6m + 2 > 3 Sentence, open sentence, equation Sentence, inequality Expression Sentence, open sentence, inequality

Open sentences have solutions and can be solved. Variable Equations Variable Inequalities 4 + m = 75 + y < m = y < 86 One Solution Infinite Solutions

Use mental math to solve each equation. 1) x + 4 = 9 2) 5 - x = 2 3) 2x + 3 = 17 4) { 5 } { 3 } { 7 } { 0, 1 }

Give three solutions to each sentence below. 1) x > 10 2) x ) 5 - x < 0 4) Samples: 11, 15, 34 Samples: 4, -8, 0 Samples: 6, 7, 10 Samples: 3, 4, 7