Linear Functions
Systems
Quadratics Functions
Mixture
Linear Functions TAKE 2
100
What is the value of x in the equation shown below? 2(x + 8) – 4x = 10x + 4
1
100
Karen has two dogs. The larger dog weighs 1.4 pounds more than the smaller dog. The combined weight of the two dogs is 12.6 pounds. What is the weight, in pounds, of the smaller dog?
5.6
100
What is the value of the smaller zero of the function
f(x) = 2x^2 - 8x -24
?
-2
100
Which equation represents the line that is perpendicular to the graph of 4x + 3y = 9 and passes through (–2, 3)?
A 3x – 4y = –18
B 3x + 4y = 18
C 3x – 4y = –6
D 3x + 4y = 6
A 3x – 4y = –18
100
The function a(n) = 3n – 7 represents the value of the nth term in a sequence. What is the sum of the 1st and 5th terms of the sequence?
4
200
The total cost, in dollars, of membership in a fitness center is given by the function c(m) = 20m + 40, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?
280
200
What is the value of x in the system of equations shown below?
5x + 4y = 1
y = 1 – x
-3
200
What is the value of the positive zero of the function, f, defined by
f(x) = x^2 - 121
?
11
200
Match the list of data to its description:
A. 15, 25, 35, 45, 55, 115
B. 15, 75, 85, 95, 105, 115
C. 15, 25, 35, 45, 55, 65
1. Symmetric about the Mean
2. Skewed Left
3. Skewed Right
A Skewed Right
B Skewed Left
C Symmetric about the mean
200
A function is shown below. g(x) = 19.60 + 1.74x What is the value of g(30)?
71.8
300
A line, y = mx + b, passes through the point (1, 6) and is parallel to y = 4x + 6. What is the value of b?
2
300
Three systems of equations are shown.
Label the solution type for each system.
A: 2x + 2y = 16 B: 2x + 2y = 8
4x + 3y = 27 4x + 4y = 16
C: 2x + 3y = 12
2x + 3y = 18
A: One Solution
B: Infinitely Many Solutions
C: No Solution
300
A company models its net income, in thousands of dollars, with the function
f(x) = 9x^2-54x -144
, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?
8
300
Two stores have movies to rent.
• The first store charges a $12.50-per-month membership fee plus $1.50 per movie rented.
• The second store has no membership fee but charges $3.50 per movie rented.
What is the minimum number of movies a person would need to rent in a month for the first store to be a better deal?
7
300
Create an equation of the line that passes through the point (1, -10) and is perpendicular to
y = -1/3 x + 5
y = 3x - 13
400
The width of a rectangle is
3/4
its length. The perimeter of the rectangle is 420 ft. What is the length, in feet, of the rectangle?
120
400
Two functions are shown below.
f(x) = 1/2 * 2^x
g(x) = 5x + 2
What is the largest integer value of x such that f(x) ≤ g(x)?
6
400
A quadratic equation is given below.
(x+6)^2 = 13
What are the solutions to the equation?
400
What is the distance, in units, between the y-intercept of
f(x) = x^2 + 7x – 18
and the y-intercept of the linear function that passes through the points shown in the table below?
23
400
Which descriptions are linear functions:
1. A taxi charges an initial fee of $2.00, and $1.50 for each additional mile.
2. The population in a town decreases by 15% each year.
3. An airplane flying at an altitude of 33,000 feet descends at a rate 20 feet per minute.
4. A pizza restaurant charges $5.50 per pizza, and $0.50 for each additional topping.
5. A cell doubles in size every 2 hours.
1, 3, 4
500
Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.
• The depth of the water is increasing linearly.
• At 1:30 p.m., the water depth was 2.4 feet.
• It is now 4:00 p.m., and the depth of the water is 3.9 feet.
What will the depth (in feet) of the water be at 5:00 p.m.?
4.5
500
Two functions are shown below.
f(x) = 3x^2 + 14x - 5
g(x) = 11x + 13
What is the point(s) at which the graphs of the two functions intersect?
A. (-5,0)
B.(-3,-20)
C. (2,35)
D. (6,79)
B & C
500
The equation
y = -2x^2 + 6x + 36
represents the height of a projectile after being launched, where y represents the height, in feet, and x represents the time, in seconds. After how many seconds will the projectile hit the ground?
6
500
Every ten years, the Census counts how many people are living in every town in the United States.
• The 2010 Census showed that 1,000 people were living in Appleville, and 4,000 people were living in Bridgetown.
• The population of Appleville is predicted to double every ten years.
• The population of Bridgetown is predicted to increase by 1,000 every ten years.
If the predictions come true, what will be the first census year that will show Appleville with a larger population than Bridgetown?
2040
500
The vertices of a rectangle are located at (1, 2), (5, 0), (2, –6), and (–2, –4). What is the area of the rectangle?
A 20 square units
B 30 square units
C 35 square units
D 45 square units
B 30 square units