Operations with Fractions
Algebraic Expressions
2D Shapes
3D Shapes
Miscellaneous
100
What is one half of one fourth?
One eighth.
100
Solve for x, and leave your answer as a simplified fraction:
9x - 10 = 23
x = 11/3
100
What is the area of a triangle with a base of 5cm and a height of 7cm?
17.5 square cm
100
What is the volume of a rectangular prism with length 4cm, with 5cm, and height 6.5cm?
130 cm cubed.
100
It was -10 degrees yesterday and is 8 degrees today. How much warmer is it today than yesterday?
18 degrees.
200
Solve the following expression:
1/3 - 3/5
-4/15
200
Simplify the following expression:
g + 2(g + 2h) + h
3g + 5h
200
Find the area of the trapezoid
48 sq in
200
A cylindrical tank has a radius of 4 feet and a height of 12 feet. How much rainwater can it hold? Use 3.14 for pi.
602.88 cubic feet.
200
Haytam is selling 15% of his funko pop collection. If he has 220 funko pops, how many is he selling?
33 funko pops.
300
Solve the following expression:
2/3 times 3/4 div 1/2
1
300
What is the value of the following expression when x = -5 and y = 4?
4x^2 - 3xy
160
300
A saucer has a radius of 6cm and a plate has a radius of 10cm. How much greater is the circumference of the plate than the circumference of the saucer?
8pi cm
300
What is the surface area of this rectangular prism?
SA = 2(lw + lh + wh) = 142 sq cm
300
You and your friend are climbing a mountain. Starting at the same place, you climb +112 feet while your friend climbs -53 feet. How many feet apart are you?
165 feet.
400
Solve the following expression:
1/3 + 5/6 - 1/4 + 2
2 11/12
or
35/12
400
Solve for x:
5(x-2) = -2
x = 1.6 or 8/5
400
If the radius of this circle is 8 inches, what is the area of the blue shaded section? Leave pi in your answer.
16pi inches squared.
400
A cylindrical tank has a volume of 378 cubic feet. If it starts out full, and water drains out at 9 cubic feet per minute, how long will it take for the cylinder to be empty?
42 minutes.
400
My credit card charges a 2% monthly interest rate. How much interest will I be charged if my end-of-month balance is $350?
$7
500
What is the value of the following expression? Please simplify.
2 1/5 + 6/10 - (-5/6) - 1 3/10
2 1/3
500
Solve and graph the following inequality:
-2x + 4 >= 16
x <= -6
500
Find the area of the L-shaped compound shape AND the area of the triangle created by the dotted line:
L-shape: 10,000 sq ft
Triangle: 3,000 sq ft
500
A rectangular prism is cut along the dotted lines, yielding the following 3D shape with the following measurements. What is the volume of the new shape?
3,060 inches cubed.
500
A store marks their products up 30% before selling them. If the original cost of a product is $40, what will be the selling price of that same product?
$52.