slope
This is another word for the slope of a line, representing "rise over run."
Write the equation of a line in slope-intercept form (\(y = mx + b\)) that has a slope of \(3\) and a y-intercept of \(-5\).
y = 3x - 5
A rental car company charges a flat fee of $30 plus $0.20 per mile driven. Write a linear equation to represent the total cost (\(y\)) for driving \(x\) miles.
\(y = 0.20x + 30\)
what 225 square rooted
15
Simplify the expression by multiplying the monomials: \((3x^2)(5x^4)\).
\(15x^{6}\)
What is the slope of a horizontal line?
0
: Identify the slope and the y-intercept of the line: \(y = \frac{1}{2}x + 7\).
Slope = \(\frac{1}{2}\) ; y-intercept = \(7\) (or \((0,7)\))
the car rental scenario from Question 11, which value represents the slope?
0.20
Simplify the expression: \(\sqrt{144} - \sqrt{81}\)
3
Use the distributive property to multiply: \(4x(x - 6)\).
\(4x^2 - 24x\)
Find the slope of the line represented by the linear equation: \(y = -4x + 9\).
-4
Convert the equation \(2x + y = 10\) into slope-intercept form.
\(y = -2x + 10\)
A straight path on a hill rises 15 feet vertically over a horizontal distance of 60 feet. What is the slope (grade) of the path?
\(\frac{1}{4}\) (or \(0.25\))
Find the product and simplify completely: \(\sqrt{12} \times \sqrt{3}\)
6
Multiply the two binomials together: \((x + 4)(x + 3)\).
\(x^2 + 7x + 12\)
A line passes through the points \((0, 0)\) and \((3, 15)\). What is its slope?
What are the coordinates of the y-intercept for the line \(y = -2x - 3\)?
\((0, -3)\) (or just \(-3\))
A tank contains 200 gallons of water and drains at a constant rate of 5 gallons per minute. Write an equation showing the amount of water left (\(y\)) after \(x\) minutes.
y = -5x + 200
Simplify the radical expression by combining like terms: \(4\sqrt{5} + 7\sqrt{5} - 2\sqrt{5}\
9 square root 5
Expand and simplify the expression: \((2x + 1)(x - 5)\).
\(2x^2 - 9x - 5\)
If a line has a slope of \(\frac{2}{3}\), what is the slope of a line that is perpendicular to it?
- 3/2
\(x = 4\)
Using your equation from Question 14, how many minutes will it take for the tank to be completely empty?
40 minutes
Simplify \(\sqrt{48}\) into its simplest radical form
\(4\sqrt{3}\)
Find the area of a rectangle if its length is represented by \((x + 7)\) and its width is represented by \((x - 2)\)
\(x^2 + 5x - 14\)