Algebra
Functions
Linear
Polynomials
Quadratics
100
The formula s = (n – 2) • 180 can be used to find the sum of the interior angles of a polygon with n sides. Write formula can be used to find the number of sides a polygon has?
n=s/180+2
100
The graph of a linear function has a y-intercept of 5 and passes through the point (2, 5). What is the slope of the graph of the function?
m=0
100
What is the equation of the line that passes through the point (5, 7) and is parallel to the graph of y = –x – 3?
y=-x+12
100
Write the expression is equivalent to the following (x + 2)(3x-3)?
3x^2+3x-6
100
The solution set of the equation
x^2-4x=0
{0,4}
200
The function y = –3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1st. The function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1st. After how many days is the average number of cats and dogs at the shelter the same?
5 days
200
The table below shows the height above sea level at different distances west of a city.
Which interval of distances has the greatest average rate of change in the height above sea level?
a. 0 to 50 miles
b. 50 to 110 miles
c. 110 to 160 miles
d. 160 to 220 miles
c. 110 to 160 miles
200
What are the y-intercept and the slope of the graph of the following equation?
3x + 4y = 12
b= 3
m= -3/4
200
Write expression is equivalent to
3(x-4)^2?
3x^2-24x+48
200
What is the sum of the solutions to the following quadratic equation?
x^2-2x-3=0
2
300
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George’s older brother weigh?
150 pounds
300
The function f(x) = 12,900(0.40)x models the population of ants in a house x days after their discovery. Which statement describes the population of ants?
A. The population of ants is decreasing by 60% per day.
B. The population of ants is decreasing by 40% per day.
C. The population of ants is increasing by 60% per day.
D. The population of ants is increasing by 40% per day.
A. The population of ants is decreasing by 60% per day.
300
The line that passes through points (1,3) and (2,y) has a slope of 2. What is the value of y ?
y=5
300
Express
2x^2-3x-5
as the product of two binomial factors.
(2x-5)(x+1)
300
A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h, in meters, of each stone above the ocean is related to the time t, in seconds, after it has been thrown by the function
h=-2t^2+2t+40
What is the height of the cliff?
40 m
400
The equation x2-12x-28 can be used to estimate the height, in meters, of a toy rocket x seconds after it is launched from a platform. How many seconds does it take the rocket to hit the ground?
14 seconds
400
Suppose that the function f(x) = 5.32 + 0.80x represents the cost of mailing an object that weighs x pounds. How much would it cost to mail an object that weighs 36 pounds?
$34.12
400
According to the Woodlawn Park Zoo in Seattle, Washington, the average height in inches (h) of a baby giraffe during its first week can be described by the equation h=7.2+1.2d , where d is the number of days since it was born.
Which statement explains the meaning of the 1.2 in the equation?
A. The giraffe's growth after 1.2 days.
B. The giraffe grows 1.2 inches a day.
C. The giraffe is this tall after 1.2 weeks.
D. The giraffe's initial height is 1.2 inches.
B. The giraffe grows 1.2 inches a day.
400
Factor
4x^2-9
(2x-3)(2x+3)
400
f(x)=3x2-4x+1 what is f(2)
5
500
The perimeter of the triangle below is 8x-6. What is the missing length of the triangle?
4x-6
500
A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number of members x months after the club began?
A. f(x) = 2x + 3
B. f(x) = 3x + 1
C. f(x) = 1.5(2)x
D. f(x) = 3(2)x
D. f(x) = 3(2)x
500
Which of the following is an equation for the line which passes through the point (1, -2) and which is parallel to the line 2y + 4x = 5?
A. y = 4x-6
B. y = 2x-2
C. y =-2x
D. y = -2x + 2
C. y =-2x
500
What is the area of the rectangle that has a length of (3x-2) and a width of (x+4)?
3x^2+10x-8
500
The function
f(x)=-4x^2+16x+48
models the height (in meters) of Jimmy’s rocket t seconds after he launches it off of the roof of his house. How many seconds does it take for Jimmy’s rocket to hit the ground?
6 seconds