Math 6B Unit 8 Sample Work Comprehensive Review
1. Solve the following equation for x:
2x + 5 = 17
2x = 12
x = 6
2. A rectangular garden has a length of 12 feet and a width of 8 feet. What is the perimeter of the garden?
Perimeter = 2(length + width)
Perimeter = 2(12 + 8)
Perimeter = 2(20)
Perimeter = 40 feet
3. Find the area of a triangle with a base of 6 cm and a height of 4 cm.
Area = (1/2)(base)(height)
Area = (1/2)(6)(4)
Area = 12 cm^2
4. Simplify the following expression:
3(4 + 2) - 5
3(6) - 5
18 - 5
13
5. Solve the following inequality:
2x + 3 < 11
2x < 8
x < 4
6. A car travels 200 miles in 4 hours. What is the average speed of the car?
Average speed = Distance / Time
Average speed = 200 miles / 4 hours
Average speed = 50 mph
7. Solve the following proportion for x:
3/4 = x/12
3(12) = 4x
36 = 4x
x = 9
8. Find the volume of a rectangular prism with dimensions of length = 5 cm, width = 3 cm, and height = 7 cm.
Volume = length x width x height
Volume = 5 cm x 3 cm x 7 cm
Volume = 105 cm^3
9. Solve the following equation for x:
2(x + 3) = 10
2x + 6 = 10
2x = 4
x = 2
10. Find the area of a circle with a radius of 5 cm.
Area = πr^2
Area = π(5)^2
Area = 25π cm^2