Algebraic Math
Solve for x:
2x + 5 =15
What is 5?
2x = 10
x = 5
John has 3 times as many apples as Sarah. If Sarah has 5, how many does John have?
What is 15
Find the missing angle in a right triangle with angles 30° and ___?
What is 60°?
The chemical symbol for gold.
What is Au?
A number that is only divisible by 1 and itself.
What is a prime number?
Factorize:
x2 - 9
what is (x-3)(x+3)
Use the "difference in squares"
A rectangle has a length 3 times its width. If the perimeter is 48, what is the width?
What is 6?
Let width = x, then length = 3x.
Perimeter formula: 2(x+3x)=48
Solving: 8x=48x
x = 6
Find the area of a triangle with base 10 and height 7.
What is 35?
A= (1/2) * b * h
A=(1/2)×10 × 7 = 35
This gas makes up about 78% of Earth's atmosphere.
What is Nitrogen?
The name of the galaxy that contains our solar system.
What is the Milky Way?
Solve for x:
x3-9x=0
What is -3, 0, 3
Zero Product Property
x(x2-9)= 0
x(x-3)(x+3)= 0
x = 0
x-3 = 0, x = 3
x+3 = 0, x = -3
A car increases speed from 20 mph to 50 mph in 6 seconds. What is the acceleration? (State question with units)
What is 5mph/s?
a=Δv/Δt
a=(50mph−20mph)/6 - 0
a=30mph/6
a = 5 mph/s
Find the length of the hypotenuse of a right triangle with legs of 6 and 8.
What is 10?
c2=b2+a2
c2=62+82
c2=36+64
c2=100
sqrt(c2)=sqrt(100)
c = 10
The largest organ in the human body.
What is the skin?
Double Jeopardy!!!
The mathematical constant is represented by the Greek letter π.
The team that produces the longest number gets the points.
What is 3.14159265359...?
Solve for x:
44(2x+1) + 12 * 2 + 2 = 0
What is 35/44?
44(2x+1) + 12 * 2 + 2 = 0
88x+44+24+2 = 0
88x + 70 = 0
88x = 70
x = 70/88, 35/44
A tank is filling at a rate of 2 gallons per minute. How much water is in it after 1.5 hours?
What is 180 gallons?
2 * (1.5×60)
2 * 90
180
A circle has a radius of 5. Find the circumference.
What is 10π?
C=2πr
2π(5)
10π
These tiny structures are known as the "powerhouses" of the cell.
What is the mitochondria?
The layer of Earth where weather occurs.
What is the troposphere?
Find the sum of the root of x2-7x+12=0
-b/a
What is 7?
The sum of the root formula is -b/a
-(-7)/1 = 7
A train travels 120 miles in 3 hours, then 90 miles in 2 hours. What is its average speed? (use units!)
What is 42 mph?
Total distance(td): 120miles + 90miles = 210miles
Total time(tt): 3hrs + 2hrs = 5 hrs
td/tt =average speed
210/5
Answer: 42 mph
A cone has a base radius of 4 and a height of 9. Find its volume.
What is 48π?
V = (1/3)πr2h
V = (1/3)π429
V = (1/3)π(16)9
V = (1/3)π144
V=48π
DOUBLE JEOPARDY!!!
This blood type is known as the universal donor.
Hint: Give Rh ± this affects the answer.
What is O negative?
What is 366 days?