Outputs
y = 2x + 3. Find the output.
x = 0
y = 3
Determine if the relationship is proportional.
x 1 2 3 4
y 50 100 150 240
No. x = 4 should have y = 200
Determine if the function represented in the table is linear. Explain.
x 2 1 -1 4
y -6 -3 3 12
No, the change from x to y is not constant.
The function rule E = 0.4h gives the total energy E in kilowatts the stereo uses during h hours. How much energy is used during 5 hours?
E = 2 kilowatts of energy
Simplify 9 - 4r - 7
2 - 4r or -4r + 2
y = 2x + 3. Find the output.
x = -2
y = -1
Determine if the relationship is proportional.
x 1 2 3 4
y 60 120 180 240
Yes
Determine if the function represented in the table is linear. Explain.
x 1 2 3 4
y 6 8 10 14
No, the change is not constant.
Fruit smoothies cost $1.50 each plus $0.50 for each fruit mixed into the smoothie. The function c = 1.5 + 0.5f gives the cost c of a smoothie with f fruits. Find the cost of a smoothie with 4 different fruits mixed in.
c = $3.50
Simplify 2(3m - 5) + 6
6m - 4
y = 2x + 3. Find the output.
x = 2
y = 7
Pizza slices are selling as follows: 1 for $2, 2 for $3, or 4 for $5. Is this relationship proportional? Explain.
No, the ratios are not the same.
Determine if the function represented in the table is linear. Explain.
x 5 7 9 11
y -12 -13 -14 -15
Yes, the change is constant.
Pizza slices are $3 plus $0.75 per topping, as shown by the function p = 0.75t + 3. How much would a slice of pizza with 3 toppings cost?
The slice with 3 toppings would cost $5.25
Find the square root of 1/25
1/5
y = 2x + 3. Find the output.
x = 10
y = 23
The function t = 4m gives the temperature t in degrees Celsius after m minutes of a liquid during a science experiment. Determine if the function has a proportional relationship. Explain.
Yes, it is proportional because if you plug in numbers, they will all have a ratio of 1/4
Determine if the function represented in the table is linear. Explain.
x 5 9 17 21
y -12 -13 -15 -16
Yes, the change is constant, once the fractions have been simplified.
The function t = 4m gives the temperature t in degrees Celsius after m minutes of a liquid during a science experiment. What is the temperature after an hour?
t = 240 degrees.
What is the cube root of 1/512
1/8
y = 2x + 3. Find the output.
x = -16.7
y = -30.4
A baker sells 3 rolls for $5 and 6 rolls for $8. Is the relationship between the price of selling 3 rolls and 6 rolls proportional? Explain.
No. The ratios are 3/5 and 6/8
Determine if the function represented in the table is linear. Explain.
x 2 4 6 8
y -8 -6 -4 -2
Yes, the change is constant.
Fruit smoothies cost $1.50 each plus $0.50 for each fruit mixed into the smoothie. The function c = 1.5 + 0.5f gives the cost c of a smoothie with f fruits. Find the cost of a smoothie with 7 different fruits mixed in.
The smoothie will cost $5
Determine whether the following can form a right triangle: 60 in, 11 in, 61 in
Yes 11^2 + 60^2 = 61^2