Front
What is the order of operations?
Back
PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)
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All flashcards in this deck
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Front
What is the difference between a factor and a multiple?
Back
A factor divides evenly into a number, while a multiple is the product of a number and an integer
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Front
What is a prime number?
Back
A number greater than 1 that has no positive divisors other than 1 and itself
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Front
What is the formula for the area of a rectangle?
Back
A = length × width
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Front
What is the formula for the area of a triangle?
Back
A = (1/2) × base × height
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Front
What is the Pythagorean theorem?
Back
In a right triangle, a^2 + b^2 = c^2, where c is the length of the hypotenuse
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Front
What is the formula for the circumference of a circle?
Back
C = 2pir, where r is the radius
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Front
What is the formula for the area of a circle?
Back
A = pir^2, where r is the radius
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Front
What is pi (pi) approximately equal to?
Back
3.14159
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Front
What is the difference between mean, median, and mode?
Back
Mean is the average, median is the middle value, and mode is the most frequent value
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Front
How do you calculate the slope of a line?
Back
Slope = (y2 - y1) / (x2 - x1)
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Front
What is the equation of a line in slope-intercept form?
Back
y = mx + b, where m is the slope and b is the y-intercept
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Front
What is the quadratic formula?
Back
For ax^2 + bx + c = 0, x = [-b ± √(b^2 - 4ac)] / 2a
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Front
What is the difference between an expression and an equation?
Back
An expression is a combination of numbers and variables, while an equation is a statement that two expressions are equal
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Front
What is a fraction?
Back
A number representing part of a whole, written as a/b
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Front
How do you add fractions with different denominators?
Back
Find a common denominator, then add the numerators
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Front
What is a decimal?
Back
A number in the base-10 number system, using a decimal point to separate whole numbers from fractional parts
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Front
How do you convert a fraction to a decimal?
Back
Divide the numerator by the denominator
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Front
What is a percentage?
Back
A number or ratio expressed as a fraction of 100
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Front
How do you convert a decimal to a percentage?
Back
Multiply by 100 and add the % symbol
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Front
What is an exponent?
Back
A shorthand way to show repeated multiplication, e.g., 2^3 = 2 × 2 × 2
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Front
What is the difference between a square and a square root?
Back
A square is a number multiplied by itself, while a square root is a number that, when multiplied by itself, gives the original number
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Front
What is the formula for the volume of a rectangular prism?
Back
V = length × width × height
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Front
What is pi (pi) used for?
Back
To calculate the circumference and area of circles, and volumes of cylindrical objects
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Front
What is the formula for the volume of a sphere?
Back
V = (4/3)pir^3, where r is the radius
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Front
What is a right angle?
Back
An angle that measures exactly 90 degrees
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Front
What is the sum of the angles in a triangle?
Back
180 degrees
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Front
What is the sum of the angles in a quadrilateral?
Back
360 degrees
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Front
What is the difference between radius and diameter?
Back
The diameter is twice the radius and goes through the center of the circle
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Front
What is the formula for simple interest?
Back
I = P × r × t, where I is interest, P is principal, r is rate, and t is time
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Front
What is the difference between parallel and perpendicular lines?
Back
Parallel lines never intersect, while perpendicular lines intersect at a 90-degree angle
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Front
What is a variable in algebra?
Back
A symbol (usually a letter) that represents an unknown number
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Front
What is the distributive property?
Back
a(b + c) = ab + ac
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Front
What is factoring in algebra?
Back
The process of finding factors that multiply together to give an expression
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Front
What is the difference between an acute and obtuse angle?
Back
An acute angle is less than 90 degrees, while an obtuse angle is greater than 90 degrees but less than 180 degrees
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Front
What is a linear equation?
Back
An equation that forms a straight line when graphed, typically in the form y = mx + b
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Front
What is the formula for the area of a trapezoid?
Back
A = (1/2)(b1 + b2)h, where b1 and b2 are the parallel sides and h is the height
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Front
What is the difference between a ratio and a proportion?
Back
A ratio compares two quantities, while a proportion is an equation stating that two ratios are equal
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Front
What is the formula for finding the perimeter of a rectangle?
Back
P = 2l + 2w, where l is length and w is width
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Front
What is the commutative property?
Back
The order of the numbers doesn't change the result, e.g., a + b = b + a, or a × b = b × a
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Front
What is the associative property?
Back
The grouping of numbers doesn't change the result, e.g., (a + b) + c = a + (b + c)
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Front
What is a term in algebra?
Back
A single number or variable, or numbers and variables multiplied together
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Front
What is the difference between an integer and a whole number?
Back
Integers include positive and negative whole numbers and zero, while whole numbers are non-negative integers
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Front
What is the formula for the area of a parallelogram?
Back
A = bh, where b is the base and h is the height
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Front
What is the difference between theoretical and experimental probability?
Back
Theoretical probability is the expected probability based on possible outcomes, while experimental probability is based on actual trials
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Front
What is the formula for the volume of a cylinder?
Back
V = pir^2h, where r is the radius of the base and h is the height
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Front
What is a function in mathematics?
Back
A relation between a set of inputs and a set of outputs, where each input corresponds to exactly one output
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Front
What is the difference between a chord and a diameter in a circle?
Back
A chord is any line segment connecting two points on a circle, while a diameter is a chord that passes through the center
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Front
What is the formula for the surface area of a cube?
Back
SA = 6s^2, where s is the length of a side