Module 1 Proportional Relationships
A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If Nemo has a 30-gallon tank, how many inch-long fish can he have?
6 fish
What is the percent of change from 45 ft to 92 ft.
104% increase
Find
-6(8) + (-11)
-59
Simplify the expression:
(5x^7)(8x^3)
40x^10
Simplify the expression:
sqrt(-169)
No Solution
Simplify the expression:
5a-7b+9a+10b
14a+3b
What was the biggest film of the year?
A) Top Gun Maverick
B) Black Panther: Wakanda Forever
C) Doctor Strange and the Multiverse of Madness
D) Jurrasic World: Dominion
Top Gun Maverick
Michael studied people in his school and determined that 75 out of 100 people in his grade could roll their tongues. If there are 1200 people in Michael's school, predict how many of them can roll their tongues.
900 people
Use the simple interest formula (I = Prt) to determine the ending balance of $34,100 at 3.5% for 6 years.
$7,161
Find a decimal for the following problem:
-3.7 + 1/4
-3.45
Simplify the expression:
(x^5y^11)/(xy^7)
x^4y^4
Simplify the expression:
sqrt(9/36
1/2
Simplify the expression:
(-4x+7)+(8x+9)
4x+16
Who won the NBA Finals in 2022?
A) Boston Celtics
B) Golden State Warriors
C) Pheonix Suns
D) Los Angeles Lakers
Golden State Warriors
Molly sells electric cars. In the last 3 months, she sold 48 cars. In the last 5 months, she sold 80 cars. What is the constant of proportionality?
16 cars per month
Original price of a telescope: $99.99
Discount: 13%
What is the new discounted price?
$86.99
Find a fraction for the following problem:
-1/6(2.4)
-2/5
Simplify the expression. Write your answer in scientific notation.
(3xx10^4)(2xx10^7)
6xx10^11
root3(-343)
-7
(4x+7)-(-5x-2)
9x+9
Who won the World Series in 2022?
A) Philadelphia Phillies
B) New York Yankees
C) Houston Astros
D) Atlanta Braves
Houston Astros
Whitney sold $25 worth of baby clothes in 2 weeks. She sold $75 worth of baby clothes in 6 weeks. What is the constant of proportionality?
$12.50 per week
Original price of a Nintendo Switch Lite: $205.90
Tax: 7%
Final price?
$220.31
Find
9(-5)(-2)-(-16)
106
Simplify the expression:
(5ab^3)^3
125a^3b^9
a^2=225
15
Factor the expression:
6x-18
6(x-3)
What song is #1 on Billboard 2022?
A) Made You Look by Meghan Trainor
B) Used to Know Me by Charli XCX
C) Light Switch by Charlie Puth
D) As it Was by Harry Styles
As it Was by Harry Styles
There are 3 wild cards for every 54 cards in a game. If Yugi has 72 game cards, predict how many wild cards there are in the deck.
4 wild cards
Cost of dinner: $154.50
Tip: 20%
How much was the tip?
$30.90
Simplify and write as a decimal rounded to the nearest tenth:
-1.4 div 0.4 + 2 1/2
-1
Simplify the expression. Write your answer in scientific notation.
(12.6xx10^8)/(2.4xx10^4)
5.25xx10^4
Organize the numbers from least to greatest on a number line:
4 1/5, 4.1, sqrt16, sqrt18
sqrt16, 4.1, 4 1/5, sqrt18,
Simplify the expression:
-3(4x-9)+27x
15x+27
What video game won Game of the Year?
A) Call of Duty Modern Warfare 2
B) God of War Ragnarok
C) Elden Ring
D) Pokemon Scarlett & Violet
Elden Ring