1. 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 a = 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.

2. 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

3. 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

4. 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 $ 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

5. 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

6. 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 $ 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 $ 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 x
1.07x
Discount:
0.3x
X - 0.7x
Sale price:
0.7x
X – 0.3x
X + 1.2x
2.2x
1.06x
X x

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