Direct, inverse, joint and combined variation
Grade 11 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Luz's worksheet says y varies directly as x and inversely as z. y = 10 when x = 4 and z = 2. What is y when x = 9 and z = 3?
Milo's notebook says y varies directly as x and inversely as z. y = 8 when x = 2 and z = 3. What is y when x = 5 and z = 4?
Pia's math book says y varies directly as x and inversely as z. y = 9 when x = 2 and z = 6. What is y when x = 8 and z = 3?
x = 1, 2, 3; z = 2, 3, 1; y = 4, 12, 6. Ren records x, z and y for an experiment on a worksheet. Which equation fits every row?
- y = 8x/z
- y = 2xz
- y = 4x
- y = x + z
x = 2, 4, 6; z = 1, 3, 2; y = 6, 4, 9. Tala records x, z and y for an experiment in a notebook. Which equation fits every row?
- y = 3x/z
- y = 3x
- y = x + z
- y = 3xz
x = 2, 1, 3; z = 1, 4, 2; y = 6, 12, 18. Ari records x, z and y for an experiment in pencil. Which equation fits every row?
- y = 3xz
- y = 3x/z
- y = x + z
- y = 3x
x = 1, 3, 2; z = 2, 4, 6; y = 6, 9, 4. Bo records x, z and y for an experiment in a math book. Which equation fits every row?
- y = x + z
- y = 12x/z
- y = 3xz
- y = 6x
Esme's club folds flyers. Folding time varies directly as the flyers and inversely as the helpers. 3 helpers fold 300 flyers in 20 minutes. How many minutes do 5 helpers take for 600?
The paint Jun's class needs varies jointly as a mural's width and height. A 5 m by 2 m mural takes 2 liters. How many liters does a 6 m by 4 m mural take?
Milo's light meter reads 160 lux at 1 meter from a lamp. The reading varies inversely as the square of the distance. What does it read at 4 meters?