Lesson 7.1.3 – Teacher Notes Standard: 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. 7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05." Lesson Focus: The focus of the lesson is to rewrite an expression in different forms in a problem context used in solving real-world problems. The questions are balanced between one-step and multi-step. I can investigate and solve real-world rational number word problems. Calculator: No Literacy/Teaching Strategy: Teammates consult.

Lesson7.1.3 GUIDED PRACTICE #1 YOU TRY #1 A cell phone company is giving a 20% discount. Which expressions can be used to find the sale price of an item with an original price of x dollars? Select ALL that apply. YOU TRY #1 A computer software retailer used a mark up of 150%. Which expressions can be used to find the mark up price of an item with an original price of x dollars? Select ALL that apply. A) −20𝑥 B) 0.2𝑥 C) 0.8𝑥 D) 𝑥−0.2𝑥 E) 100−20𝑥 A) −150𝑥 B) 𝑥+1.5𝑥 C) 2.5𝑥 D) 𝑥−1.5𝑥 E) 100−150𝑥

YOU TRY #2 An item originally priced $55 is marked 25% off. Which expressions can be used to find the discount amount of an item with an original price of x dollars? Select ALL that apply. GUIDED PRACTICE #2 Kohl’s sale is 35% off. Which expressions can be used to find the discount amount of an item with an original price of x dollars? Select ALL that apply. A) −35𝑥 B) 0.35𝑥 C) 0.65𝑥 D) 𝑥−.65𝑥 E) 100−35𝑥 A) 𝑥−0.25𝑥 B) 0.25𝑥 C) 0.75𝑥 D) 100−25𝑥 E) −25𝑥

YOU TRY #3 Sonny works as a furniture salesman and earns 6% commission on sales. Which expressions can be used to find the total commission salary amount of with an original price of x dollars? Select ALL that apply. GUIDED PRACTICE #3 A bicycle is on sale for $189.50. The sales tax rate is 5%. Which expressions can be used to find the total amount of an item with an original price of x dollars? Select ALL that apply. A) −5𝑥 B) 0.95𝑥 C) 𝑥−0.05𝑥 D) 𝑥+0.05𝑥 E) 1.05𝑥 A) 𝑥−0.94𝑥 B) 1.06𝑥 C) 0.94𝑥 D) 0.06𝑥 E)𝑥−.06𝑥

GUIDED PRACTICE #4 Dunkin Donuts makes its doughnuts for $2.00 each. DD wants a 50% markup on the cost. Which expressions can be used to find the total amount of an item with an original price of x dollars? Select ALL that apply. YOU TRY #4 A Hummer costs $57,915. The dealer has a 15% markup. Which expressions can be used to find the total amount of an item with an original price of x dollars? Select ALL that apply. A) 1.5𝑥 B) 0.50𝑥 C) 𝑥+0. 5𝑥 D) 𝑥+0.05𝑥 E) 1.05𝑥 A) 𝑥+.15𝑥 B) 0.85𝑥 C) −15𝑥 D) 1.15𝑥 E) −0.15𝑥

Independent Practice 0.65x X - .35x X + 0.07x 1.07x Discount: 0.3x Write 2 expression using “x” that will answer each example below. A man wants to buy a coat that costs $139.00. The price of the coat is marked down 35%. What is the cost of the coat? Toby buys a MP3 player for a price of $45.50. There is a sales tax of 7%. What is the cost of the MP3 player? A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item that normally sells for $365. A jeweler adds a 120% markup to a ring. If it originally cost $100, how much would a customer pay for the ring? Pennsylvania sales tax is charged at the rate of 6%. Find the tax and the total price you would pay for an $860 stereo. 0.65x X - .35x X + 0.07x 1.07x Discount: 0.3x X - 0.7x Sale price: 0.7x X – 0.3x X + 1.2x 2.2x 1.06x X + 0.06x

Independent Practice Write 2 equations that will answer each example below.