Math things to not forget
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40 Terms
What is the Celsius-to-Fahrenheit formula?
F = (C × 9/5) + 32
What does C represent in geometry?
Circumference
What does π represent?
Pi, approximately 3.14159
What does d represent?
Diameter
What does r represent?
Radius
What does A represent?
Area
What does V represent?
Volume
What is the circumference formula using diameter?
C = πd
What is the circumference formula using radius?
C = 2πr
What is the area formula for a circle?
A = πr²
What is the volume formula for a rectangular prism?
V = lwh
What is the volume formula for a cylinder?
V = πr²h
What is the volume formula for a cone?
V = πr²h/3
What is the volume formula for a sphere?
V = (4/3)πr³
What is the volume formula for a rectangular pyramid?
V = lwh/3
Range equals
largest − smallest
Midrange equals
(smallest + largest)/2.
How do you find the median?
Arrange the numbers in order. The median is the middle number; if there are two middle numbers, average them.
When do you reverse an inequality sign?
Reverse the inequality sign when multiplying or dividing both sides by a negative number.
What is a consistent system?
A system with at least one solution. The lines intersect once or are the same line.
What is an inconsistent system?
A system with no solution. The lines are parallel and never intersect.
What is an independent system?
A system whose equations represent different lines that intersect at exactly one point.
What is a dependent system?
A system in which one equation is a copy or multiple of the other. Both equations represent the same line and have infinitely many solutions.
What is the constant of variation?
The fixed number that relates the variables; it is represented by k.
What is direct variation?
Both variables change in the same direction: as x increases, y increases; as x decreases, y decreases.
What is the formula for direct variation?
y = kx
What phrase indicates direct variation?
“y varies directly with x”
What is inverse variation?
The variables change in opposite directions: as x increases, y decreases; as x decreases, y increases. It is also called indirect variation.
What is the formula for inverse variation?
y = k/x
What phrase indicates inverse variation?
“y varies inversely with x”
What is joint variation?
One variable varies directly with two or more variables together.
What is the formula when y varies jointly with x and z?
y = kxz
What phrase indicates joint variation?
“y varies jointly with x and z”
What are the steps for solving a variation problem?
Write the correct variation formula. 2. Substitute the known values. 3. Solve for k. 4. Rewrite the formula using k. 5. Substitute the new values and solve.
What is the discriminant?
The part under the square root in the quadratic formula.
What is the discriminant of ax² + bx + c = 0?
D = b² − 4ac
What does D > 0 mean?
The quadratic equation has two distinct real solutions.
What does D = 0 mean?
The quadratic equation has one repeated real solution.
What does D < 0 mean?
The quadratic equation has two complex, nonreal solutions.
What is the change-of-base formula for logarithms?
log_b(a) = ln(a)/ln(b)