8th grade math

excellent exponents

100

what is ten to the power of two

100

200

3^{4 +} 3^-2

81 1/9

300

8⁵  / 4³ 

512

400

10¹ x 10⁵

10⁶

500

6⁸ / 4⁵

1640.25

fancy functions

100

 If a function takes an input, multiplies it by 3, and then adds 2, what is the output for an input of 4

14 (3 * 4 + 2 = 14)

200

A table shows the relationship between the number of hours worked (x) and the amount earned (y). If 2 hours of work earns $10, and 3 hours earns $15, is this a function? What is the relationship between x and y?

Yes, this is a function. The relationship is y = 5x (or the amount earned is $5 per hour).

300

Can a vertical line intersect a graph at more than one point and still represent a function?

No, a vertical line cannot intersect a graph at more than one point if it represents a function.

400

If f(x) = x + 5, what is f(3)?

8 (f(3) = 3 + 5 = 8)

500

 A phone company charges a base fee of $20 per month and $0.05 per minute of calls. If someone uses 100 minutes, what is their total monthly bill?

$25 (100 * 0.05 + 20 = 5 + 20 = 25)

vivid volume

100

 A cube has a side length of 5 cm. What is its volume?

 5 cm * 5 cm * 5 cm = 125 cubic cm

200

 A rectangular prism has dimensions of 8 cm (length), 4 cm (width), and 3 cm (height). Calculate its volume.

 8 cm * 4 cm * 3 cm = 96 cubic cm

300

A cylinder has a radius of 2 cm and a height of 7 cm. Calculate its volume (use π ≈ 3.14)

 π * (2 cm)² * 7 cm = 3.14 * 4 cm² * 7 cm ≈ 87.92 cubic cm

400

A gift box is a cube with a side length of 10 inches. What volume of space does the box occupy?

 10 inches * 10 inches * 10 inches = 1000 cubic inches

500

 A rectangular container has dimensions of 5 ft (length), 2 ft (width), and 4 ft (height). How many cubic feet of liquid can it hold?

 5 ft * 2 ft * 4 ft = 40 cubic feet

saucy scientific notation

100

1. Write the following number in scientific notation: 3,450

1. 3,450 = 3.45 x 10^3

200

1. Write the following number in scientific notation: 0.0052

1. 0.0052 = 5.2 x 10^-3

300

1. Convert to standard form: 2.5 x 10^3

1. 2.5 x 10^3 = 2,500

400

1.82 x 10^-2

1. 1.82 x 10^-2 = 0.0182 

500

3.5 x 10^4

3.5 x 10⁴ = 35000

delighted data

100

What is the mean of the following data: 10, 12, 15, 13, 11?

no mean

200

What is the median of the following data: 2, 4, 6, 8, 10?

6

300

What is the range of the following set of data: 12, 18, 20, 8, 15?

Answer: 12.

400

 If 6 out of 25 students prefer apples, what percentage of students prefer apples?

Answer: 24%.

500

If you roll a fair six-sided die, what is the probability of rolling a number greater than 4?

Answer: 1/3.