Equations and Expressions with Integers SWBAT evaluate algebraic expressions involving integers; solve equations using integers

Review Solving Equations Solving Equations Perform the inverse operation to solve the equation Perform the inverse operation to solve the equation Remember: Remember: Keep it balanced!! Keep it balanced!! Isolate the variable Isolate the variable

Set up the following word problem as an algebraic expression. Miss Brougham has $80 in her bank account. She withdraws $50. If the bank charges a monthly fee, f, what is the balance of her bank account? Miss Brougham has $80 in her bank account. She withdraws $50. If the bank charges a monthly fee, f, what is the balance of her bank account? 80 – 50 – f 80 – 50 – f Evaluate the expression above using the following information: Evaluate the expression above using the following information: The monthly fee is $14. The monthly fee is $ – 50 – – 50 – 14 $16 $16

Definitions What does it mean to replace something? What does it mean to replace something? Replacement set Replacement set The set of numbers to be used for possible solutions of a mathematical sentence. The set of numbers to be used for possible solutions of a mathematical sentence.

Examples Evaluate for a = 5, b = -4, c = -2, and d = 0 Evaluate for a = 5, b = -4, c = -2, and d = 0 B ÷ c B ÷ c A – b A – b A + b x c A + b x c (b - d) ÷ c (b - d) ÷ c Ab Ab 2c 2c

Examples Solve each equation using the following replacement set {-25, -5, 0 5, 25} Solve each equation using the following replacement set {-25, -5, 0 5, 25} N – 10 = -15 N – 10 = -15 N + 10 = -15 N + 10 = -15 N + 5 = 20 N + 5 = 20 N – 5 = 0 N – 5 = 0 25 = n = n + 0

Examples Solve and Check Solve and Check B + -4 = -6 B + -4 = -6 X – 3 = 11 X – 3 = h = h = -13 8t = t = -104 Y ÷ -6 = 9 Y ÷ -6 = f = f = -20

Complete the try these problems on your sheet (n + -3) · 2 = -16: R = {-1, -5} (n + -3) · 2 = -16: R = {-1, -5} X = -9 X = a = 12 -3a = V ÷ 3 = -15 V ÷ 3 = G – (-14) = -1 G – (-14) =