Algebra 2 1.2 Algebra Algebraic Expression- an expression that contains one of more variables. Exs: 2x - 3z + y3 2p Term- is a number, variable, or a product of a number and one or more variables Exs: 4x + 3 has two terms4x 2 + 3x + 4 has three terms Coefficient- the numerical factor in a term. Exs:-3k -3 is the coefficient2x 2 is the coefficient Algebra Evaluate- substitute numbers for variables in the expression and then simplify the expression following the order of operations. Example: 2x + 3y when x = 2 and y = -1 2(2) + 3(-1) = 1 Algebra 2 1.2 Algebra 2 Lesson 1-2 Algebraic Expressions Evaluate 7x 3xy for x = 2 and y = 5. 7x 3xy = 7(2) 3(2) (5)Substitute 2 for x and 5 for y. = 14 (30)Multiply first. = To subtract, add the opposite. = 16Add. Additional Examples Algebra Evaluate each expression for x = 4 and y = ) x + y 2.) 3x 4y + x y Algebra 2 Algebraic Expressions Evaluate (k 18) 2 4k for k = 6. Lesson 1-2 (k 18) 2 4k = (6 18) 2 4(6)Substitute 6 for k. = (12) 2 4(6)Subtract within parentheses. = 144 4(6)Simplify the power. = 144 24Multiply. = 120Subtract. Additional Examples Algebra 2 Algebraic Expressions Lesson 1-2 The expression 0.08y 2 + 3y models the percent increase of Hispanic voters in a town from 1990 to In the expression, y represents the number of years since Find the approximate percent of increase of Hispanic voters by Since 1998 1990 = 8, y = 8 represents the year 0.08y 2 + 3y = 0.08(8) 2 + 3(8) Substitute 8 for y 19 The number of Hispanic voters had increased by about 19%. Additional Examples Algebra 2 Algebraic Expressions Lesson 1-2 Simplify by combining like terms. 2h 3k + 7(2h 3k) 2h 3k + 7(2h 3k) = 2h 3k + 14h 21kDistributive Property = 2h + 14h 3k 21kCommutative Property = (2 + 14)h (3 + 21)kDistributive Property = 16h 24k Additional Examples Algebra 2 Algebraic Expressions Lesson 1-2 Find the perimeter of this figure. Simplify the answer. = 2c + 4d = c + c + 4d P= c + + d + (d c) + d + + c + d c2c2 c2c2 = c + + d + d c + d + + c + d c2c2 c2c2 = + + c + 4d c2c2 c2c2 = + c + 4d 2c22c2 Additional Examples Algebra 2 1.2