Original price
Presentation
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Joellen Rowe
Used 28+ times
FREE Resource
7 Slides • 7 Questions
1
If the original price of an item is x...
The discount is a part of x.
(discount rate)(original price)=amount of discount
The sale price is found by subtracting the amount of the discount from the original price.
Sale price= original price - amount of discount
p = x - (%)x
2
Multiple Choice
To find the amount of discount...
Multiply the discount rate and the original.
Divide the discount rate and the original.
Subtract the discount rate from the original.
Multiply the original and the sale price.
3
Multiple Choice
To find the sale price...
Subtract the discount from the original.
Subtract the discount rate from the original.
Multiply the discount rate and the original.
Subtract the sale price from the discount rate.
4
Example
Sally paid $42.50 for a item that was on sale for 15% off. Find the original price.
Let x = original price.
Sale price= original price - discount
p= x - (%)x
p=x-15%x
p=x-0.15x
p=0.85x
Continued on next slide.
5
Example
6
Multiple Choice
The Sandersons bought a new couch on sale for 20% off. They paid $900. Which equation could be used to find the original price?
900=0.8x
900=1.2x
900=0.2x
900−0.2x=100
7
Multiple Choice
The Sandersons bought a new couch on sale for 20% off. They paid $900. What ist he original price?
$1080
$920
$1125
$720
8
If the original price of an item is x...
The tax is a part of x.
(tax rate)(original price)=amount of tax
The new price is found by adding the amount of the tax to the original price.
Final price= original price + tax amount
9
Algebraically
The tax is a part of x.
(tax rate)original price)=amount of tax
The price is found by adding the amount of the tax to the original price.
Price= original price + tax
p= x + (%)x
10
Example
Sally paid $42.50 for a item, including a 6% sales tax. FInd the original price.
Let x = original price.
Total price= original price + tax
p= x + %x
p=x+6%x
p=x+0.06x
p=1.06x
continued on next slide
11
Example
12
Multiple Choice
The sales tax where Mary lives is 7.5%. Mary paid a total 0f $47.30? Which equation would find the price before tax??
47.30=(1.075)x
47.30=(1.75)x
47.30=(0.075)x
47.30=1.075
13
Multiple Choice
A couple buys a house for a total price of $319,000. If the total price includes a 6.75% sales tax. Which equation could be used to find the cost of the house before taxes?
319000=0.0675x
319000=0.9325x
319000=1.0675x
319000=1675x
14
Fill in the Blanks
Type answer...
If the original price of an item is x...
The discount is a part of x.
(discount rate)(original price)=amount of discount
The sale price is found by subtracting the amount of the discount from the original price.
Sale price= original price - amount of discount
p = x - (%)x
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