7th GRADE (A)
(Additional Review: Khan Academy: 7th Grade >> Fractions, Decimals, and Percentages >> Percent Word Problems)
CHAPTER 4 (PERCENT) TEST NEXT TUESDAY, FEB 5, 2019
Chapter 4 Sample Test Questions
Write/solve a percent equation to answer the question
17 is what percent of 68? What number is 16% of 80? 35% of what number is 21?
Identify the percent of change as an increase or decrease. Then find the percent of change
15 books to 21 books. 60 cars to 24 cars. 100 pennies to 101 pennies
Use the percent of change to find the new amount.
40 employees increased by 15%. 120 pounds decreased by 30%
Find the price, discount, or markup
Original price: $82; Discount: 10%; Sale Price: ?
Original Price: $125; Discount: ? Sale Price: $81.25
Original Price: ? Discount: 36%; Sale Price: $32
Cost to Store: $32 . Markup: 16% . Selling Price: ?
Cost to Store: $3 . Markup: ? Selling Price: %5.70
Cost to Store: ? Markup: 28% . Selling Price: $69.12
An account earns annual simple interest. Find the interest earned, principal, interest rate, or time
Interest earned: $84 . Principal: $600 Interest rate: 7% . Time: ?
Interest earned: ? Principal: $1250 . Interest rate: 3% . Time: 4 years
Interest earned: $39.60 . Principal: ? Interest rate: 11% . Time: 6 months
Interest earned: $3250 . Principal: $5,000 Interest rate: ?: Time: 10 years
An account earns annual simple interest. Find the balance of the account
$250 at 4% for 1 year
$2000 at 9% for 6 months
The percent of sales tax is 6%. What is the sales tax on a skateboard that costs $98?
The price of your favorite brand of jeans was $35 last month. This month the price is $42. What is the price of change from last month to this month?
You deposit $200 in an account earning 3.5% simple interest. How long will it take for the balance of the account to be $221?
8th GRADE (A/B)
5.6 Arithmetic Sequences
The difference between consecutive terms of an arithmetic sequence is the same. This difference is called the common difference. Because consecutive terms of an arithmetic sequence have a common difference, the sequence has a constant rate of change. So, the points of any arithmetic sequence lie on a line. You can use the first term and the common difference to write a linear function that describes an arithmetic sequence
Equation for an arithmetic sequence: Let a(n) be the nth term of an arithmetic sequence with first term a(1) and the common difference d. The nth term is given by a(n) = a(1) + (n – 1) d
Example: “Write an equation for the nth term of the arithmetic sequence 14, 11, 8, 5,… Then find a(50)”
a(1) = 14; d = -3
a(n) = a(1)+ (n – 1) d
a(n) = 14 + (n – 1)(-3)
a(n) = -3n + 17
a(50) = -3(50) + 17
a(50) = -133