Level 2a
Level 2b
Level 3a
Level 3b
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100
Solve the following inequality algebraically. Write the answer in set notation.
-x^2+7x+30<8x
x<-6 or x>5
100
Solve the following inequality algebraically.
x^2-31≥6x-4
x≤-3 or x≥9
100
When 4 is subtracted from the square of a number, the result is 3 times the number. Find the negative solution.
-1
100
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
-3
100
The oldest person ever recorded lived to be what age?
122
200
Solve the following inequality algebraically. Write the answer in interval notation.
−x^2+2x+14≥−1
[-3,5]
200
Solve the following inequality algebraically.
-x^2-4x+42≤10
x≤-8 or x≥4
200
3 times a number is 28 less than the square of that number. Find the negative solution.
-4
200
When 40 is subtracted from the square of a number, the result is 3 times the number. Find the positive solution.
8
200
How many countries are recognized by the United Nations?
195
300
Arun launches a toy rocket from a platform. The graph below shows the height of the rocket h in feet after t seconds. Find the interval for which the rocket’s height is decreasing.
Interval=[1.75,5]
Alternative Notation: 1.75≤t≤5
300
Levi launches a toy rocket from a platform. The graph below shows the height of the rocket h in feet after t seconds. After how many seconds does the rocket hit the ground?
8.5 seconds
300
The length and width of a rectangle are consecutive integers. The area of the rectangle is 90 square feet. Find the length and width of the rectangle.
Width: 9 ft
Length: 10 ft
300
The length and width of a rectangle are consecutive integers. The area of the rectangle is 72 square meters. Find the length and width of the rectangle.
Width = 8 meters
Length = 9 meters
300
Which planet has the most volcanoes?
Venus
400
A firework is launched into the air, and will reach its maximum height 4 seconds into its flight. The path of the firework can be modeled using the equation below. What is the value of b in this equation? (HINT: use x=-b/2a)
y=-x^{2}+bx+50
b=8
400
A firework is launched into the air, and will reach its maximum height 3 seconds into its flight. The path of the firework can be modeled using the equation below. What is the value of b in this equation? (HINT: use x=-b/2a)
y=-x^2+bx+20
b=6
400
The product of two consecutive positive even integers is 48. Find the value of the lesser integer.
6
400
Aubrey is older than Chase. Their ages are consecutive integers. Find Aubrey's age if the product of their ages is 56.
Aubrey is 8
400
How many zip codes are in the US?
41,642
500
The width of a rectangle is 4 units less than the length. The area of the rectangle is 32 square units. What is the width, in units, of the rectangle?
4
500
The width of a rectangle is the length minus 5 units. The area of the rectangle is 14 square units. What is the width, in units, of the rectangle?
2
500
Use a graphing calculator to solve the following inequality.
-1/2(x+2)^2+2 > -30
-10<x<6
500
1/3(x+9)^2-2≥1
Use a graphing calculator to solve the following inequality.
x≤−12 or x≥−6
500
When was the hair dryer invented?
1888