Parts of an Equation
Jenny charges a gas fee and an hourly rate for baby sitting using the function j(x) = 8x + 5. The j(x) represents this.
Dana went shopping for plants to put in her garden. She bought three roses and two daisies for $31.88. Later that day, she went back and bought two roses and one daisy for $18.92. If r represents the cost of one rose and d represents the cost of one daisy, write a system of equations that models this situation.
Let x = # of roses Let y = # of dasies
3x + 2y = 31.88
2x + 1y = 18.92
Using the quadratic formula, solve x2 + 4x - 3 = 0. Express your solution in simplest radical form.
-2 ± √ 7
What is the value of p in the equation 2(3p - 4) = 10?
p = 3
What is the range of data represented in box plot 1?
range = 60
Jenny charges a gas fee and an hourly rate for baby sitting using the function j(x) = 8x + 5. This represents the number of hours Jenny babysits.
What is x?
The panel shows 90 coins with a value of $17.55 inside of the bank. If Dylan only collects dimes and quarters, write a system of equations in two variables or an equation in one variable that could be used to model this situation.
Let d = # of dimes (0.10) Let q = # of quarters (0.25)
d + q = 90
0.10d + 0.25q = 17.55
Fred's teacher gave the class the quadratic function f(x) = 4x2 + 16x + 9. These are the roots using the quadratic formula.
-8 ± 2 √ 7
Which value of p is the solution of 5p - 1 = 2p + 20?
p = 7
Write an interval that contains exactly 50% of the grades for Box Plot 2?
63-81
81-95
or 75 - 88
The speedy Jet Ski Rental company charges an insurance fee and and hourly rate. The total cost is modeled by the function r(x) = 30 + 40x. This is the hourly fee.
What is 40?
The local deli charges a fee for delivery. On Monday, they delivered two dozen bagels to an office at a total cost of $8. On Tuesday, three dozen bagels were delivered at a total cost of $11. Write a system of equations that could be used to find the cost of a dozen bagels, b, if the delivery fee is f?
8 = 2b + f
11 = 3b + f
Use the quadratic formula to solve 2x2 - 4x - 3 = 0, and express the answer in simplest radical form.
(2±√10)/2
Solve for x: 15x - 3(3x + 4) ≤ 6
x ≤ 1.5
Using the table, What is the average rate of change, in millimeters per year, of a person's pupil diameter from age 20 to age 80?
ARoC = -0.04
The speedy Jet Ski Rental company charges an insurance fee and an hourly rate using the function r(x) = 30 + 40x. This is the insurance fee.
What is 30?
Pam is playing with red and black marbles. The number of red marbles she has is three more than twice the number of black marbles she has. She has 42 marbles in all. Write the system.
Let r = # of red marbles Let b = # of black marbles
42 = r + b
2b + 3 =r
Solve using the quadratic formula L= -5t2 - 8t + 20. These are the solutions.
(4±2√29)/5
Solve for x: -1/2 (x-3) - 2/7 x ≥ 7
x ≤ 7
An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?
ARoC = 12
The speedy Jet Ski Rental company charges an insurance fee and an hourly rate using the function r(x) = 30 + 40x. This is the amount it would cost to rent the jet ski for 4 hours.
What is $190?
A drama club is selling tickets to the spring musical. The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show. Write a system of inequalities that can be used to model this scenario.
Let x = door tickets
Let y = advance tickets
x + y ≤ 200
12x + 8.50y ≥ 1000
Solve x2 - 6x + 3 = 0 by completing the square.
3 ± √6
Solve for x: (x-1)/2 - a = 3a
x = 8a + 1
If C = G - 3F, find the trinomial that represents C when F = 2x2 + 6x - 5 and G = 3x2 + 4.
-3x2 - 18x + 9