Algebraic Expressions
Given the function f(x) = -3x2 + 5x - 2, what is the value of f(4)?
-30
What is the slope of the line containing the points (3,-9) and (-2,16)?
-5
Find the value of n that makes the following equation true:
0.3(2n + 3) + 1.1 = -0.2(n - 3) - 1.8
n = -4
What is the range of the function below?
f(x) = 3x2 - 12x + 7
y is greater than or equal to -5
What is the range of the function f(x) = 8(2.5)x?
y > 0
(y is greater than 0)
Which of the following is equivalent to (4 - x)(2x + 3)?
A) 2x2 + 12x + 5
B) 2x2 - 5x - 12
C) -2x2 + 5x + 12
D) -2x2 - 5x - 12
C) -2x2 + 5x + 12
What is the y-intercept of the graph of 9x + 3y = 12?
(0,4)
What is the y-value of the solution to the system of equations below?
-3x + 4y = 12
y = -x - 4
0
What is the maximum or minimum value of the function f(x) = -2x2 - 8x - 1?
(Give the number AND whether it is a maximum or a minimum.)
Maximum: 7
What is the growth rate (as a percent) of the function f(x) = 1.2(1.65)x?
65%
Which of the following is equivalent to (2x2y3)(5x3y5)?
A) 7x6y15
B) 10x-1y-2
C) 10x6y15
D) 10x5y8
D) 10x5y8
Which of the following ordered pairs is NOT in the solution set of 3x - 4y < 18?
A) (-2,-6)
B) (-5,2)
C) (1,4)
D) (2,-2)
A) (-2,-6)
Write the equation in slope-intercept form of the line containing the points below:
(-2,-7)
(1,-8.5)
(8,-12)
y = -0.5x - 8
What are the zeros of the function f(x) = 0.5(x - 1)2 - 8?
-3 and 5
A doctor gives a patient some medicine. The amount of milligrams of medication remaining in the patient's blood stream based on the number of hours since the medicine was given is modeled with the function f(x) = 250(0.75)x.
What is the meaning of the value 250 in the function?
The amount of medication initially given to the patient
Given that f(x) = -(4 - 0.5x), find f(-6).
-7
What is the slope of the equation 4x - 6y = 12?
2/3
Road Builders, Inc. hired 15 workers for a road construction project. Based on their skills, some of the workers, x, earned $165 per day and the rest of the workers, y, earned $190 per day. The daily payroll for the project is $2,600.
Write a system of equations to represent this situation.
x + y = 15
165x + 190y = 2600
Describe ALL transformations from the parent function f(x) = x2 to the function g(x) = 3(x + 2)2 - 1.
Vertical stretch
Translation left 2
Translation down 1
What is the equation of the horizontal asymptote of the function f(x) = 6(0.5)x?
y = 0
Simplify: (5x2 - 10) - (4x + 13)
5x2 - 4x - 23
An elevator moves at a rate of -5.8 feet per second from a height of 500 feet above ground. It takes 6 seconds for the elevator to make its first stop. How many feet above the ground is the elevator now?
465.2 feet
Marie is creating a snack mix using cheese crackers and pretzels she bought in bulk. The total weight of the snack items in the recipe is 40 ounces. The cheese crackers cost $0.25 per ounce and the pretzels cost $0.20 per ounce. Marie spent $8.70 on the snack items. How many ounces of cheese crackers are included in the snack mix?
14 ounces
Which of the following is a factor of 6x2 + 21x + 15?
A) 6x + 5
B) 2x + 5
C) 3x + 5
D) 2x + 3
B) 2x + 5
Marco purchased a used truck for $11,500. According to an online vehicle website, his truck will depreciate, or lose value, at a rate of 5.5% each year.
Write a function to represent y, the value of Marco's truck, x years after purchase.
y = 11,500(0.945)x