linear equations
This is the form of a line that uses 'y= mx + b
slope-intercept form
This is the square root of 144.
12
This is the standard form of a quadratic function, represented as 'y = ax² + bx + c.'
the standard form.
This is a method used to find the exact solution for a system of two equations by adding or subtracting them to eliminate one variable.
elimination method
This is the rule that says when you multiply like bases, you add their exponents
product rule of exponents
A line passes through the point (2, 4) and has a slope of 3. What is the equation of the line in slope-intercept form?
y=3x-2
This term refers to the set of all possible output values, or \(y\)-values, of a function.
What is the range?
A rocket is launched from a 20-yard-high platform with an upward velocity of 40 yd/s. If its height h(t) in yards at time T seconds is h(t)=-16t^2+40t+20, when does it reach maximum height and what is that height?
In this "method" of solving systems, you solve one equation for (x) or (y) and "plug" it into the other equation.
What is substitution?
According to the Product Rule, when multiplying x^3 by x^4, you do this to the exponents to get x^7
what is add them
A line is represented by the equation y equals negative 2x plus 7. What is the x-intercept of this line?
3.5
The domain must be all real numbers greater than or equal to this number, because you can't take the square root of a negative.
What is zero
If a quadratic function is written as f(x) = a(x - h)^2 + k, these two letters represent the coordinates of the parabola's vertex.
What are (h) and (k)
A farm has only chickens and cows. If there are 20 heads and 50 feet, this is the total number of cows.
What is 5?
Any non-zero number raised to this power, such as 5^0 , results in a value of 1
What is ZERO
Solve 3(x - 3) = 6(x + 5).
x=-13
On a graph, a solid circle at an endpoint indicates that the number is included in the domain, while this type of circle indicates it is not.
What is an open circle?
A rectangular photo is 4 cm longer than it is wide and has an area of 45 cm^2; these are its length and width.
What are 9 cm and 5 cm?
A vendor sells 35 hot dogs and 52 sodas for a total of $78.50. If the total number of items sold was 87, this is the cost of a single hot dog if sodas are $0.50 each.
What is $1.50?
this is the simplified, positve-exponent from of the expression x^-5
What is 1/x^5
A rental car company charges a flat fee of $50 plus $0.20 per mile. If the total cost of a rental was $130, how many miles were driven?
The total number of miles driven was 400 miles.
This is the range of the parent quadratic function f(x) = x2
What are all the real numbers greater than or equal to zero? or y>= 0
A train travels 240 km at a constant speed; if its speed is increased by 20 km/hr, the trip takes 1 hour less. This was the train's original speed
What is 60 km/hr?
If you graph two equations and they represent the same line, the system is described by this two-word term, meaning there are an unlimited number of solutions.
what is infinitely many (or infinite solutions)?
To simplify (4x6)1/2, you must take the square root of 4 and do the is to the exponent 6
What is 2 multiplied by 1/2