Download SHSAT------------------------------------SHSAT and more Exams Advanced Education in PDF only on Docsity!
SHSAT
Area of a triangle - correct answer 1/2 BH Pythagorean theorem - correct answer A^2+B^2=C^2, etc. Slope - correct answer Run/Rise - y1-y2 / x1-x Semicolon - correct answer "Therefore" Colon - correct answer Used like "and here it is" - I have 2 favorite animals: dogs and cats. Comma rules - correct answer NEVER, EVER USE TO SEPARATE TWO COMPLETE SENTENCES. run on - - correct answer More or less a bunch of sentences combined into one, with no transition word to separate them. Surface Area - correct answer The area of the surface of the shape - NOT VOLUME. Formulas: Surface Area of a Sphere = 4 pi r 2. (r is radius of circle) Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h. (h is the height of the cylinder, r is the radius of the top), Square = BH 6, Rectangle = LW2, LH2, WH Circle formulas: - correct answer A = PiR^2, C PiD Volume - correct answer The space inside a shape Steps to active reading - correct answer Underline important stuff, circle dates, names and transitions. At least one note per paragraph. In the end, try to paraphrase to under one sentence.
PEMDAS - correct answer Order of operations - Parentheses, Exponents, Multiplication, Addition, Subtraction. Area of Trapezoid - correct answer (B1+B2/2)H FOIL - correct answer First Outer Inner Last. Used for binomials. EG: (3z+5)(2z7) Lengths of right triangles. - correct answer Commonly 3,4,5, but can also be multiples of said numbers (such as 6,8,10 or 9,12,15) Define bisect - - correct answer Cutting an angle in half Integers - correct answer Positive and negative WHOLE numbers together with zero. Examples include 0, sqrt(9), and 2. Even integers are even integers, like 4 and 6. Odd integers are the opposite, with numbers including 3 and 6. Consecutive are integers with the next number being the next integer, examples include 2,3,4. Operations on integers - correct answer Odd + Odd = Even, Odd +Even = Odd, Even + Even = Even, Odd * Odd = Odd, Odd * Even = Even, Even * Even = Even. Simplifying Sq. Roots - correct answer Example: โ8 = โ42 โ4 = 2, โ8 = 2โ another - โ32 = โ162 = 4โ2, 3rd example: x - โ2 = โ8, โ8 = 2โ2, โ2 = 1โ2, โ2 + โ8 = 3โ When problem has no like terms, you have to combine like terms. - correct answer Flip back to front Answer books - correct answer Sometimes, they can be wrong Absolute Value - correct answer The distance a number is from 0 from the number line. The absolute value of -2 and 2 are both 2.
Area - correct answer The amount of space within an enclosed 2-D shape (e.g. a rectangle or a circle) Arithmetic Sequence - correct answer Set of numbers made by adding the same number each time. (e.g. 2,4,6,8,10) Base - correct answer The number or variable that is under the exponent. Binomial - correct answer An algebraic with two terms, at least one of which must be a variable, connected by a + or - sign. Chart - correct answer A visual representation of raw data meant to make it more understandable. Chord - correct answer A straight line that connects two points on the circumference of a circle and travels through the interior of the circle. Circle - correct answer A geometrical figure where all the points are equidistant from a central point. Circumference - correct answer The distance around the outer edge of a circle, i.e a circle's perimeter. Coordinate Geometry - correct answer A system of geometry using pairs of numbers to describe the location of a point or set of points. It is also used to describe the properties of lines including length and slope. Combination - correct answer A group of elements whose order of placement makes no difference; e.g. ABC is considered the same as BAC because the same elements are present even though they are in a different order. Common Multiple - correct answer The smallest number, excluding zero, that is a multiple of two numbers.
Complimentary Angle - correct answer Two angles are complimentary if they add up to 90 degrees. Complex Numbers - correct answer Numbers that consists of a real part and an imaginary part. e.g. 6+โ-1. Cone - correct answer A three-dimensional figure with a circular base, and sides that taper to a point. Congruent Angles - correct answer Angles are congruent if they have the same size and shape. In other words, the angle measures are equal. Congruent Figures - correct answer All the sides and angles of two figures are equal. Consecutive Numbers - correct answer Numbers that follow each other in order without gaps from smallest to largest. e.g. 4, 5 , 6 Cube - correct answer A 3-D figure where L = W = H. Cylinder - correct answer A solid with two identical flat circular bases and one curved face of equal circumference to the bases. Decimal - correct answer A number that uses place value and a decimal point to represent parts of a whole numbers as tenths, hundredths, thousandths and so on. Dependent Probability - correct answer Where the occurrence of one event DOES affect the probability of another. Diameter - correct answer A chord that passes through the center of the circle. Distance Formula in terms of Rate and Time: - correct answer Distance = Rate * Time.
GCF - correct answer The largest factor that divides two numbers without having a remainder. Hypotenuse - correct answer The longest side of a right triangle. Imaginary Number - correct answer The square root of a negative; therefore represented by the letter i where i^2 = -1. Improper Fraction - correct answer e.g. 2/1, 4/3, 5/4. Independent Probability - correct answer Where the occurrence of one event does NOT affect the probability of another event. Inequality - correct answer A statement that compares two quantities using <, >, โค,โฅ, or โ Integers - correct answer Positive and negative WHOLE NUMBERS. e.g. 1, -1, 1,000,000,0001. Intersection - correct answer Given two sets of numbers, the set of elements that are in both sets. Irrational Numbers - correct answer Any number that cannot be represented as a fraction - if the decimal goes on forever without repeating, it is an irrational number. Isosceles Triangle - correct answer A triangle with two congruent sides and angles. LCM - correct answer The smallest number (zero noninclusive) that is a multiple if a set of two or more numbers. Line - correct answer A graphical representation of the equation y = mx + b, where m is the slope which is always constant and b is the y - intercept. A line extends in two directions for an infinite distance.
Line Segment - correct answer A piece of line with a measurable length. Measurement - correct answer The determination of length, weight, liquid amount, temperature, time, or similar "amount" of something. Mean - correct answer The sum of the data divided by the number of items in the data set. In other words, the average. Median - correct answer The middle score in a distribution; half the scores are above it and half are below it Metric System - correct answer The system of measurements used in most of the world and the standard for scientific measurement. The ratio between unit measures is a power of 10. Midpoint - correct answer Halfway between the two endpoints of a line segment. Mixed Number - correct answer A combo of a whole number and a fraction - e.g. 1 and 1/2. Mode - correct answer The most common number in a data set. Monomial - correct answer A number, variable, or the product of two or more numbers or variables. A monomial is a polynomial with only one term. Multiple - correct answer The product of a given number and an integer. e.g. 3 is the multiple of 1 (1*3) Null Set - correct answer A set that contains no elements, represented by an empty set of brackets.
Polygon - correct answer A closed plane figure made up of several line segments that are joined together. None of the lines cross and most or equiangular or equilateral. +/- #s - correct answer Numbers that are > 0 are positive. Vice versa with negative #s. Power Rule - correct answer (sqrt)36x^12 = (36x^12)^1/2 = 6x^ Prism - correct answer A solid figure with 2 parallel and congruent bases and 3 or more flat sides with the same cross section along all its length. Product Rule - correct answer e.g. (2^2)3 = 2^6. Probability - correct answer The likelihood of an event happening. Proportions - correct answer A statement of equality between two ratios. Pythagorean Theorem - correct answer A^2 + B^2 = C^ Pythagorean Triplets - correct answer Three numbers that work with the Pythagorean Theorem. Quadrant - correct answer 4 equal regions into which the x- and y-axes divide the coordinate plane. Quadrilateral - correct answer A 4 sided figure whose 4 angles must add up to 360 degrees. Quotient Rule - correct answer When you divide two powers with the same base, you subtract the exponents. Radius - correct answer D/
Range - correct answer The distance between the largest and smallest numbers. Rate - correct answer A quantity measured with respect to another measure. Ratio - correct answer The relationship between two quantities Rational Numbers - correct answer Any number that can be written as a fraction. Ray - correct answer A line that starts at one point and extends infinitely in one direction. Real Numbers - correct answer Any number that exists. Reciprocal - correct answer The multiplicative inverse of a number. Rectangle - correct answer A quadrilateral that has 4 right angles and 2 pairs of opposite sides that are congruent. Rectangular Solid - correct answer A 3-D object with 6 rectangular sides. Remainder - correct answer The number left over when dividing one number by another. Right Angle - correct answer A 90 degree angle. Right Triangle - correct answer A triangle with a right angle. Rule of 1 - correct answer x^1 = x. Scalene Triangle - correct answer A triangle with three different side lengths.
Supplementary Angle - correct answer 2 angles that add up to 180 degrees. Systems of Equations - correct answer 2 or more equations whose variables are equal to each other. Tanget Line - correct answer Is tangent to a circle if it touches the circle at exactly one point and is perpendicular to the radius. Trapezoid - correct answer A quadrilateral that has 2 parallel sides. Triangle Inequality Theorem - correct answer A+B > C Union - correct answer Given 2 sets of numbers, the set of elements that are in either set. Variable - correct answer A symbol that represents an unknown quantity. Volume - correct answer The amount of 3-D space inside an object. Weighted Average - correct answer Mean across all values of a larger group that may be separated into 2 or more smaller groups that may be separated into two or more smaller groups that do not all have the same number of members. Whole Numbers - correct answer Non negative numbers, 0 noninclusive. Word Problems - correct answer N/A X-Intercept - correct answer A point were a line touches the x-axis and y = 0. Y-Intercept - correct answer Same as above, but with the y-axis.
Zero Rule - correct answer Any non-zero number raised to the zero power is 1. Picking Numbers - correct answer Technique to use when there are variables in all of the answer choices - don't pick 0, 1 or negative numbers. Exponent Rules - correct answer 1) When you multiply bases, you add the exponents.
- When you divide bases, you subtract the exponents.
- When you raise an exponent to another exponent, you multiply exponents.
- When you add bases, you can't do anything to the exponents.
- A negative exponent flips the base to the other side of a fraction.
- A fraction exponent creates a root.
- x^0 = 1. Perfect Squares - correct answer (x+y)^ x^2+2xy+y^ In other words, square the first term. Multiply the two in the parentheses together and double that. Then, square the last term. How to do Weighted Average - correct answer Add all definitions and divide the total number of elements in the set - ex. [1(1)+1(1)+1(1)+1(2)]/
Midpoint Formula - correct answer (X1+X2)/2 , (Y1+Y2)/2) Inclusive - correct answer + 1
