Week 1 Review

Proportions

100

If y = 2x + 5, what would be the new value of y if..... x increases by a factor of 4

y increases by a factor of 4

200

y = x⁴, what would be the new value of y if..... x increased by a factor of 3

x increases by a factor of 81

300

if y = 4 / x², what is the new value of y if...... x decreases by a factor of 2

y increases by a factor of 4

400

y = x²/z, what is the new value of y... if x decreases by a factor of 3 and y increases by a factor of 4

y increase by a factor of (1/8) x (1/4) = (1/32)

500

When I got my final value of y, y had increased by a factor of 64/81. Given that originally y = x⁴z³, what did x and z change by to get the new y value

x decreased by a factor of 3 and z increased by a factor of 3

Unit Conversion

100

Hulk went on a diet and lost 15 kilograms. How many pounds did he lose?

39.6 lbs

200

An unknown piece of jewelry weighs 54.5 carats. There is 200 mg per carat. How many kilograms does the jewelry weigh?

10.9 kg

300

Convert 2.5m³ into cm³

2500000 cm³

400

A car is running with a speed 3,4560,000 m/hr. What is the correspondent speed in mi/s?

6.3 mi/s

500

3 ying = 29 yengs, convert 240 ying/mile to yeng/m

1.45 yeng/m

Trig

100

What is sin^-1 (0.59)

36.18 degrees

200

If phi = 39 degress, what is theta?

51 degrees

300

If side A = 14cm and side B = 19cm, What is the hypothenuse?

23.60

400

If A = 13m and B = 19m, what is theta?

34.38 degrees

500

If B=27cm, and theta= 48 degrees, what is the hypothenuse of the triangle?

40.35 cm