Linear Functions
In the equation y = 2x + 5, the 5 is the...
y-intercept
How many real solutions does the equation
-x2 - 2x + 5 = 0
There are two solutions/roots/zeros/x-intercepts
In the equation y = 2(3)x, find f(3)
54
In the equation f(x) = 2x + b, if b is decreased by 4 units, the graph of the new line would be shifted 4 units
(1) right
(2) left
(3) up
(4) down
(4) down
Which system of equations can be used to model the following scenarios? There are 50 animals. Some of the animals have 2 legs and the rest of them have 4 legs. In total there are 172 legs.
(1) x + y = 172 and 2x + 4y = 50
(2) y + 50 = x and 2x + 4y = 50
(3) x + 50 = y and 4y + 172 = 2x
(4) x + y = 50 and 2x + 4y = 172
What is (4) x + y = 50 and 2x + 4y = 172
The speed of a boat in miles per hour is measured by the equation y = 30x + 5. Find the slope and explain it's meaning in the context of the problem.
30 miles per hour
If the domain of the function f(x) = 2x2 - 8 is {2, 3, 5}, then the range is
(1) {-16, 4, 92}
(2) {-16, 10, 42}
(3) {0, 10, 42}
(4) {0, 4, 92}
(3) {0, 10, 42}
Determine if the following exponential function is growth or decay, and the percent of increase or decrease.
f(x) = 125(0.12)x
Decay, and 88% decrease
In the equation y=ax2, if a is multiplied by (-1/2), the graph of the new equation is
a. wider and opens downward
b. narrower and opens downward
c. wider and opens upward
d. narrower and opens upward
a. wider and opens downward
Amelia buys an empty sticker album and some sticker sheets. The equation that relates the total cost for the empty sticker album and 'n' sticker sheets is P= 0.75n + 300. What does the number 0.75 in the equation represent?
(1) The cost of the empty sticker album
(2) The cost of each sticker sheet
(3) The cost of all n sticker sheets
(4) The total cost of the empty sticker album and all 'n' sticker sheets
What is (2) The cost of each sticker sheet
The equation y = 4x - 3 has the same y-intercept as
(1) y = 4x + 7
(2) 2y = 5x - 14
(3) y = 5x - 3
(4) 6y = -9x + 14
(3) y = 5x - 3
For the equation y = x2 - 6x + 8 what are the zeros of the parabola?
The zeros are 2 and 4.
What is the value of x in the equation 4(x+2) = 1
(1) 2
(2) -1
(3) -2
(4) 0
(3) -2
What is the vertex of the equation f(x) = -x2 + 9
What is the vertex point which is (9,0)
After Allie takes some medicine, each hour the number of milligrams of medicine (M) remaining in her body after t minutes can be modeled with the equation M=200(1 - 0.27)t. Which number represents the decay rate?
(1) 0.27
(2) 200
(3) 0.73
(4) 146
What is (1) 0.27
In order to make -3x + -2y = -11 and 6x + 4y = 22 equal, you could
(1) Multiply the first equation by -2
(2) Multiply the first equation by -3
(3) Multiply the second equation by -1
(4) Multiply the second equation by (1/2)
(1) Multiply by -2
How many solutions exist for the system
y= x2 and y = 2x + 3
Two solutions
Two points of intersection
In what interval is the graph of y = 1.5x increasing?
(1) Always
(2) When x >or equal to 0
(3) Never
(4) When x < or equal to 0
What is (1) Always
How does the graph of f(x) = | x - 5 |+ 2 shift from the parent function f(x) = |x|?
What is it shifted to the right 5 and up 2
The height of a projectile thrown in the air can be modeled with the equation h= -16t2 + 48t + 160, where t is the number of seconds. At 2 seconds, how high will the projectile reach?
What is 192 ft.
All of these ordered pairs are part of the shaded region for the inequality y = -2x + 12 except
(1) (2,7)
(2) (3,6)
(3) (5,2)
(4) (6,0)
(1) (2,7)
(4, -13) is the vertex for the parabola defined by which equation?
(1) y= x2 + 8x + 3
(2) y= x2 - 8x + 3
(3) y= x2 + 4x + 3
(4) y= x2 - 4x + 3
(2) y= x2 - 8x + 3
The population (P) of a town after t years can be modeled with the equation P= 20,000(1.07)t. What does the 20,000 represent?
(1) The growth rate
(2) The percent increase each year
(3) The population after 't' years
(4) The starting population of the town
(4) The starting population of the town
How does the graph of f(x) =2|x+2| shift?
Narrower and left 2
There are 900 birds in a forest. Each year the bird population increases by 12%. Which equation relates the bird population (P) to the number of years that have passed?
(1) P=900(1.12)t
(2) P=900(0.12)t
(3) P=900(0.88)t
(4) t=900(1.12)P
What is (1) P=900(1.12)t