Mod 1: Proportional Relationships
A raindrop falls at a rate of 2/25 mile in 3 minutes. At this rate, how far will the raindrop travel in 1 hour?
1.6 or 1 3/5 miles in 1 hour
There are 200 counties in the state of Texas. Pedro says that there are about 150 counties in the state. What is the percent error in Pedro’s estimate?
25% error
Evaluate y^2gh if y= –5, g = –4, and h = 3
-300
The area of a square flowerbed is 2.25 square yards. What is the length of each side?
1.5 yards
Simplify expression −2(3x + 5) + 1 + 4x
−2x − 9
Determine if the situation represents a proportional relationship: A horse’s mane grows 1.5 inches in 1 month. Laura’s hair grows 0.25 of an inch in 1 week.
no; One ratio is 1.5 inches per month, and the other is 1 inch per month.
The wholesale cost of a dining room table at a furniture store is $1,200. The markup for the table is 30%. What is the selling price of the dining room table?
$1,560
What is 0.636363636363.... as a fraction in simplest form
7/11
Simplify - square root(0.25)
−0.5
What is (2x+3)+(7x-1)?
9x + 2
Rosa bought 9 movie tickets for $49.50. What is the constant of proportionality?
$5.50
Tyler’s savings account pays a simple annual interest rate of 3%. Suppose he deposits $5,000 in the account and makes no additional deposits or withdrawals for 3 years. What will the total value of the account be after 3 years?
$5,450
1.55 + (-3/5)
0.95 or 19/20
Insert >, <, or = to make the statement true.
4 1/2 _____ square root of 23
<
less than symbol
Simplify 8(4x + 6) – 11x. Write your answer in factored form.
3(7x + 16)
It takes Ernest’s grandfather clock 2 seconds to chime. What equation can be used to model the total time, y, for the number of chimes, x?
y = 2x
Ling paid $0.90 in sales tax on a purchase of $18. What is the sales tax rate
5%
What is the value of the expression x/y if x = -1/9 and y = –0.2
5/9
A square patio has an area of 256 square feet. Which set(s) of numbers could be used to describe the side length of the patio?
MUST name ALL to earn the points
real, rational, integer, whole number, natural number
Translate the phrase into an expression:
three pretzels more than twice the number of pretzels
Let p represent the number of pretzels.
2p + 3
Abigail’s favorite television show usually has 8 minutes of commercials for every 30-minute episode. If Abigail watches 3.5 episodes, predict how many minutes of commercials she watches.
28 minutes
A washing machine is on clearance for 20% off. If the sale price of the washing machine is $400, what was the original price?
$500
215 + (-25) - 50 + 42
182
Which category/categories does the number "1" fit into?
Perfect Square
Perfect Cube
Neither
Perfect Square AND Perfect Cube
Which of the following expressions are linear? Select all that apply.
6x
8y - 3
-4g^2
6x AND 8y - 3