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A variable is a letter or symbol that represents a quantity that can change.

A variable is a letter or symbol that represents a quantity that can change. A constant is a quantity that does not change. An algebraic expression contains one or more variables and may contain operation symbols. So p  7 is an algebraic expression. Algebraic Expressions.

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A variable is a letter or symbol that represents a quantity that can change.

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  1. A variable is a letter or symbol that represents a quantity that can change. A constant is a quantity that does not change. An algebraic expressioncontains one or more variables and may contain operation symbols. So p 7 is an algebraic expression.

  2. Algebraic Expressions NOT Algebraic Expressions 150 + y 85 ÷ 5 35 w + z 10 + 3 5

  3. y 5  y 16 80 27 y = 27; 5  = y = 35; 5  = 35 Evaluate to find the missing values. Substitute for y in 5  y. y = 16; 5  16 = 80 27 135 135 175 35 175 The missing values are 135 and 175.

  4. z z  5 + 42 Substitute for z in z  5 + 42. 20 20 45 60 Evaluate the expression to find the missing values in the table. z = 20; 20  5 + 16 = 20 25 z = 45; __  5 + 16 = __ 45 25 60 28 z = 60; __  5 + 16 = __ 28 The missing values are 25 and 28.

  5. Instead of . . . You can write . . . 35 y Writing Math When you are multiplying a number times a variable, the number is written first. Write “3x” not “x3.” Read 3x as “three x.” You can write multiplication and division expressions without using the symbols  and . x 3 x 3 x(3) 3x 35 ÷ y

  6. A rectangle is 4 units wide. How many square units does the rectangle cover if it is 3, 4, 5, or 6 units long? Make a table to help you find the number of square units for each length. 3 x 4 = square units 12 16 4 x 4 = square units 16 20 5 x 4 = square units 20 24 6 x 4 = square units 24 The rectangle will cover 12, 16, 20, or 24 square units.

  7. Lesson Quiz 1. Evaluate the expression to find the missing values in the table. 95 44 20 2. A rectangle is 6 units wide. How many square units does the rectangle cover if it is 2, 3, 4, or 5 units long? 12 18 24 30

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