9-6 6 th grade math Solving Percent Problems Using Equations

Objective To write and solve percent equations Why? To know to correctly write equations to solve word problems posed to you in any math. How to be a ‘good translator.’

California State Standards AF 1.1 : Write and solve one-step linear equations in one variable. NS 1.0 : Solve problems involving … percentages MR 2.6: Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

Vocabulary “What number” – x or n or whatever variable you’d like to use “is: – equals (=) “What percent” – x% ‘of’ – x (or sometimes ÷)

How to Solve Percent Problems Using Equations 1) Read the problem. 2) Translate the question using your ‘math-enese’ or ‘math-ish.’ 3) Solve. A)What number is 25% of 62? x = 25% x 62 x =.25 x 62 x = 15.5 B) 15 is what percent of 75? 15 = x% x 75 x% = 15 ÷ 75 x% =.2 x = 20% C) 35% of what number is 70? 35% x n = 70.35n = 70 n = 70 ÷.35 n = 200

Try It! Write an equation and solve. 1)What number is 40% of 88? 2)What percent of 90 is 27? 3)What is 120% of 360? 4)16 is what percent of 40? 1)What number is 40% of 88? x = 40% x 88 x = ) What percent of 90 is 27? x% x 90 = 27 x = 30% 3) What is 120% of 360? x = 120% x 360 x = 432 4)16 is what percent of 40? 16 = x% x 40 x = 40%

Try One More! 5)There are 300 novels. 180 have been sold so far. What percent of the novels have been sold? Write an equation and solve. 5) x% x 300 = 180 x% = 180 ÷ 300 x% =.6 x = 60%

Objective Review To write and solve percent equations Why? You now know how to correctly write equations to solve word problems posed to you in any math. You are now a ‘good translator.’ Equations can be used to represent and solve percent problems.

Independent Practice Complete problems Copy original problem first. Show all work! If time, complete Mixed Review: If still more time, work on Accelerated Math.