Chapter 2.3(a) Formulas and Problem Solving.notebook September 06, 2016 Bellwork: Homework Questions??? Add/Subtract 1) 2) 3) 4) Solve: 3(x 5) 4 = 4(3x + 1) 5) Solve: 2x (5 + x) = 4x + 7 3x Sep 38:01 AM Sep 310:13 AM Formula: an equation that describes a known relationship among quantities such as distance, time, volume, weight, ect. Chapter 2.3 Formulas and Problem Solving Solve a formula for a specified variable Sep 310:13 AM We will now solve formulas for different variables. When we solve for variables in a formula we find what the variable equals and it is not always a number. 1) Solve the distance formula for the rate: Formula Meaning A = πr2 Area of a circle = pi radius squared d = rt Distance = rate time V= lwh volume rectangular prism = length width height I = Prt Interest = principal rate time A = ½bh Area of a triangle = onehalf base height Sep 310:14 AM Solving Equations for a Specified Variable Step 1: Clear the equation of fractions by multiplying each side by the least common denominator Step 2: Use the distributive property to remove grouping symbols d = rt Step 3: Combine like terms 2) Solve the area of a trapezoid formula for the height A = ½(b1 + b2)h Sep 310:21 AM Step 4: Use the addition/subtraction properties to rewrite the equation Step 5: Use division and multiplication properties to isolate the given variable Sep 310:25 AM 1 Chapter 2.3(a) Formulas and Problem Solving.notebook Solve for the indicated variable: September 06, 2016 Solve for the indicated variable: 3) Solve 2y + 5x = 10 for y 5) A = ½(b1 + b2)h for b2 4) Solve 3x + 4y = 12 for x 6) Solve A = P + Prt for t. Sep 310:28 AM Sep 310:29 AM Evan Answers 2) 4) 6) 8) 10) 12) 14) 16) 18) Homework: P. 72 #118 (all) Sep 310:30 AM Sep 310:33 AM 2
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