Silva Math Project Modules 1-5

Module 1

100

The number 18/12 is a part of what set?

Rational Numbers

200

The number 196/14 is a part of what set?

Whole Numbers

300

The number -256/16 is a part of what set?

Integers

400

Is this equation true.

73/5 < 584/40

No

500

Nick said that eating ten slices of a fourteen slice pizza is less than eating 6 slices of an 8 slice pizza while James disagrees. Who is correct?

Nick

Module 2

100

What is 0.0000000053 in scientific notation?

5.3•10^-9

200

What is 67000000000 in scientific notation?

6.7•10¹⁰

300

What number is 4•10^-19

0.0000000000000000004

400

What number is 8.1•10¹²

8100000000000

500

About 259,228,000 tons of potatoes are consumed globally each year. What is this number in scientific notation?

2.59228 × 10⁸

Module 3

100

y=15x when x=7

y=105

200

y=11x when x=19

y=209

300

y=14x when x=9

y=126

400

y=47x when x=8

y=376

500

If you walk 4 miles per hour how far will you have walked after 31 hours

124 miles

Module 4

100

y=⅜x-5 when x=8

y=-2

200

y=7x-1 when x=50

y=349

300

y=-2x+1 when x is 38

y=-75

400

y=-3x-2 when x=42

y=-128

500

The diameter of an oak tree is currently 10in when measured at chest height. Over the next 50 years, the diameter is expected to increase by an average growth rate of ⅖in per year. The equation y=⅖x+10 gives y, the diameter of the tree in inches, after x years. What is the diameter of the tree in inches after 30 years?

y=22 inches

Module 5

100

8(4a - 4) - 1 = 14 - 8a

a=1.175

200

4(-8x + 5) = -30x - 26

x=23

300

27 = 46 + 3x -x

x=-9.5

400

38 + 7k =8(k + 4)

k=6

500

The second angle of a triangle is double the first. The third angle is 40 less than the first. Find the three angles.

1- 55°

2- 110°

3- 15°