Linear Functions
In the equation y = 5 + 7x, the 5 is the...
What is the y-intercept or constant?
How many real solutions does the equation
x2 - 2x + 5 = 0
What is there are no real roots ?
None
If f(x) = 2(3)^x, find f(3).
What is 54 ?
What is the smallest integer that satisfies the equation -6x < -18?
(1) 3
(2) 4
(3) 5
(4) 6
What is (2) 4
Write a system of equations that models this scenario:
Luis has $25.34 in coins in his piggy bank. He only has 60 total coins and some are quarters and some are pennies.
What is
y + x = 60
0.01x + 0.25y = 25.34
Solve for 'a' in the equation
h = a • b + r
in terms of h, b, and r.
What is a = (h-r)/b ?
What are the binomial pairs for the equation below?
x2 - 5x + 6
1. (x+6)(x-1)
2. (x -6)(x+1)
3. (x+2)(x+3)
4. (x-3)(x-2)
4. (x-3)(x-2)
Consider the equation g(x) = 8(1.02)x
Does this equation represent growth or decay? What percent of growth or decay is there?
Growth; 2%
Given:
f(x) = (x-2)2 + 4
g(x) = (x-5)2 + 4
When compared to the graph of f(x), the graph of g(x) is
(1) shifted 3 units to the left
(2) shifted 3 units to the right
(3) shifted 5 units to the left
(4) shifted 5 units to the right
What is (1) shifted 3 units to the left ?
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 system of equations
5x - 4y = -3
3x + 2y = 7
has the same solution as the system
(1) 5x - 4y = -3
3x + 2y = 10
(2) 5x - 4y = -3
6x + 4y = 7
(3) 5x - 4y = -3
6x + 4y = 14
(4) 5x - 4y = -3
9x + 6y = 14
What is
(3) 5x - 4y = -3
6x + 4y = 14
Factor the quadratic y = x2 - 6x + 8 and state the zeros of the parabola.
What is y = (x-2)(x-4) and 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
What is (3) -2
David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?
(1) 42 < x < 57
(2) 42 > x > 57
(3) 42 < x or x < 57
(4) 42 > x or x > 57
What is (1) 42 < x < 57 ?
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(t)=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
Which ordered pair is the solution to the systems of equations?
3x + 2y = 4
-2x + 2y = 24
1. (2,-1) 2. (2,-5) 3. (-4,8) 4) (-4,-8)
3. (-4,8)
Solve this system of equations.
y= x2
y = 2x + 3
What is (-1,1) and (3,9)
In what interval is the graph of y = 1.5^x increasing?
(1) Always
(2) Never
(3) x ≥ 0
(4) x ≤ 0
What is (1) Always
Jenna took a survey of her senior class to see whether they preferred pizza or burgers. The results are summarized in the table below.
Pizza Burgers
Male 23 42
Female 31 26
Of the people who preferred burgers, approximately what percentage were female?
(1) 21.3
(2) 38.2
(3) 45.6
(4) 61.9
What is (2) 38.2?
The height of a projectile thrown in the air can be modeled with the equation h(t)= -16t2 + 48t + 160, where t is the number of seconds. At 1.5 seconds, how high will the projectile reach?
What is 196 ft?
All of these ordered pairs are part of the shaded region for the inequality
2x + y < 12
except
(1) (2,7)
(2) (3,4)
(3) (5,3)
(4) (5,0)
What is (3) (5,3)
Name 3 ways in which to solve a quadratic equation.
Factor (Box Method)
Quadratic Formula
Graphing
Square Root Method
Completing the Square
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
What is (4) The starting population of the town ?
What is the solution to the system below?
f(x) < 2/3x - 2
g(x) = 7 - 2x
What is x= -.05
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