Praxis II/GACE Math 0014
Terms
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- Formula for perimeter
- P = 2L + 2W
- What is the mode of the data in the following sample? 9, 10, 11, 9, 10, 11, 9, 13
- 9
- Trapezoid
- A quadrilateral that has only one pair of parallel sides
- Transversal
- A line that crosses two or more lines
- In space, do you maintain your same weight or mass
- Mass stays the same, but weight changes because it is dependent upon gravity
- Exterior angles
- When a pair of parallel lines are intersected with a transversal, the outside angles that are formed are these angles
- Exponential form
- A number written with an exponent (2^4)
- Similarity
- Figures or shapes that have the same shape but not necessarily the same size
- Substitution property of equality
- If a = b, then a can be substituted for b in any equation or inequality
- Polyhedron
- A three-dimensional figure which has polygons as faces
- Angle
- Two rays or line segments sharing a common endpoint, typically measured in degrees or radians
- A pair of jeans originally cost $80. They are now on sale for 20% off. What is the sale price?
- $64
- ASA
- If two angles and the included side of a triangle are congruent to two angles and the corresponding included side of another triangle, the two triangles are congruent
- What is the GCF of 16, 28 and 36?
- 4
- Weight
- The vertical force exerted by a mass as a result of gravity
- Right angle
- An angle that measures exactly 90 degrees
- Equivalent expression
- An expression that simplifies to an equal value when numbers are substituted for the variables
- Percent
- A fraction or ratio in which the denominator is assumed to be 100 (1/2 = 50/100 = 50%)
- Probability
- The likelihood of an occurrence of an event
- Integers
- The set of numbers containing 0, the natural numbers and all the negatives of the natural numbers
- Addition property of equality
- Adding the same number to both sides of an equation produces an equivalent expression, if a = b, then a + c = b + c
- Greatest Common Factor
- The largest factor that two or more numbers have in common
- Parallel lines
- Two lines lying in the same plane that never intersect
- Acute angle
- An angle that measures between 0 and 90 degrees
- Mode
- The number that occurs most frequently in a set of numbers
- Congruence
- Figures or shapes that have the same size, shape and measure
- Circumference
- The distance around a circle
- Given the formula of distance = rate x time, calculate the time required for a vehicle to travel 585 miles at a rate of 65 miles per hour.
- 9 hours
- Supplementary angles
- Two angles whose sum is 180 degrees
- Range
- The difference between the largest value and the smallest value in a numerical data set
- Prime numbers
- A positive integer which has only 1 and the number itself as factors
- Decimal (terminating)
- A fraction whose decimal representation contains a finite number of digits
- Square
- A quadrilateral that has four right angles and four equal sides
- Two math classes have a total of 410 students. The 8am class has 40 more than the 10am class. How many students are in the 10am class?
- 185
- Inequalities
- A mathematical sentence built from expressions using one or more of the symbols greater than, less than, greater than or equal to and/or less than or equal to
- Composite numbers
- A positive integer that has factors other than just 1 and the number itself
- Mass
- A measurement representing the amount of quantity or matter in an object
- Scientific notation
- A standardized way of expressing very large or very small numbers as the product of a number between 1 and 10 and a power of 10 (2.5 x 10^6 = 2.500,000)
- Rectangle
- A parallelogram with four right angles
- 303 is what percent of 600?
- 50.5%
- Rotation
- A transformation that turns a figure about a fixed point at a given angle and in a given direction
- Vertical angles
- Two nonadjacent angles formed by intersecting lines or segments, also called opposite angles
- Polygon
- A closed figure formed by three or more line segments
- CPCTC
- When two triangles are congruent, all six pairs of corresponding parts (angles and sides) are congruent
- Median
- The number in the middle of a set of data when the data are arranged in order (when there are two middle numbers, their average is the median)
- Expanded notation
- A way of writing numbers in which the numbers are written to show the place value of each digit (639 = 600 + 30 + 9)
- Identify the missing term in the following harmonic sequence: 1/3, 1/6, 1/9, 1/12, 1/15, ?
- 1/18
- Transformation
- The movement of all points of a figure in a plane according to a common operation
- SSS
- If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent
- What is the area of a square whose side is 13 feet?
- 169 square feet (13 x 13 = 169)
- 4 2/9 x 7/10
- 2 43/45
- Evaluate
- To figure out or compute, to evaluate an algebraic expression is to find the value by replacing each variable with a number
- Alternate exterior angles
- Pairs of angles formed when a third line (transversal) crosses two other lines and are on opposite sides of the transversal and outside the other two lines
- Volume
- The amount of space occupied by an object, measured in cubic units
- Area
- The number of square units that covers a shape or figure
- Obtuse angle
- An angle whose measure is greater than 90 degrees but less than 180 degrees
- What is the probability of drawing two consecutive Aces from a standard deck of cards?
- 1/221
- Decimal (repeating)
- A decimal which has repeating digits or a repeating pattern of digits
- AAS
- If two angles and a nonincluded side of a triangle are congruent to two angles and the corresponding nonincluded side of another triangle, the two triangles are congruent
- Alternate interior angles
- Pairs of angles formed when a third line (transversal) crosses two other lines and are on opposite sides of the transversal and in between the other two lines
- Rote counting
- THe memorization of number order without a real understanding of amount or quantity
- Cube
- A regular polyhedron whose six faces are congruent squares
- Round 1 13/16 to the nearest quarter of an inch.
- 1 3/4 inch
- Skip counting
- Counting forward or backward in multiples or intervals of a given number; used in teaching multiplication.
- The trunk of a tree has a 2.1 meter radius. What is the circumference?
- 4.2 pi meters
- Equation
- A mathematical sentence built from expressions using one or more equal signs
- A car gets 25.36 miles per gallon. The car has been driven 83,310 miles. What is a reasonable estimate of the number of gallons of gas used?
- 3,000 gallons
- Given a drawer with 5 black socks, 3 blue socks and 2 red socks, what is the probability you will draw two black socks in two draws in a dark room?
- 2/9
- 0.74 written as a fraction
- 74/100
- Perimeter
- The sum of the lengths of the sides of a polygon
- Complementary angles
- Two angles whose sum is 90 degrees
- Surface area
- The total area of the 2D surfaces that make up a 3D object or the number of square units covering a 3D figure
- Perpendicular lines
- Two lines that intersect at a right angle
- Pythagorean Theorem
- In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs
- Solution
- Any and all value(s) of the variable(s) that satisfy(ies) an equation, inequality, system of equations or system of inequalities
- Circle
- The set of all points in a plane that are the same distance (called the radius) from a given point called the center
- SAS
- If two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent
- Pythagorean Theorem formula
- a^2 + b^2 = c^2
- Given f(x) = (x)^3 - 3(x)^2 + 5, find x = (-2)
- -15
- Fractions
- A number used to name a part or a group of a whole
- Translation
- A transformation that slides each point of a figure the same distance in the same direction
- Whole numbers
- Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...
- Bias in statistical analysis
- Data can be manipulated to show an erroneous representation of the original data
- Formula for volume
- V = s^3 (s = side)
- Random sampling
- A sample chosen from a population such that each data unit in the population has an equal chance of being chosen each time
- Statistics
- The branch of mathematics that deals with collection, organization and interpretation of data
- Symmetry
- A mirror image over a line in space
- Formula for circumference
- C = 2piR
- Formula for area
- A = L X W
- Line segment
- Two points on a line and all points in between them
- Variable
- A quantity that can change or that may take on different values, also refers to the letter or symbol representing that quantity
- Volume (scientific)
- The total amount of space enclosed in a solid, the amount of space occupied by an object
- Sum of interior angles of a triangle
- 180 degrees
- All of the numbers in this set are integers. True or False? -25, -17, -12, 3, 6, 12
- True
- Point
- The geometric figure formed at the intersection of two distinct lines, has no length, width or thickness and is usually represented by a dot
- Irrational numbers
- Real numbers that are not rational, numbers that cannot be expressed in the form a/b, where a and b are integers and b =0.
- Rhombus
- A parallelogram with four congruent sides whose diagonals are perpendicular
- 7/9 + 1/3 + 2/3 =
- 23/18
- Rational numbers
- All positive and negative fractions, including integers and improper fractions
- Least Common Multiple
- The smallest multiple that two or more numbers have in common
- Constant
- A term or expression with no variables
- Subtraction property of equality
- When both sides of an equation have the same number subtracted from them the remaining expressions are still equal, if a = b, then a - c = b - c
- Ordinal numbers
- Numerical words that indicate order or specify place or position in the ordered sequence of whole numbers in the set
- Reflexive property of congruence
- Any figure is congruent to itself
- Real numbers
- All numbers on the number line, including but not limited to positives and negatives, integers and rational numbers, decimals, square roots, cube roots, pi, etc.
- Reflection
- A transformation that flips a figure over a mirror or reflection line
- Mean
- The sum of the numbers in a set of data divided by the number of pieces of data
- Natural numbers
- Counting numbers; 1, 2, 3...
- Converse of Pythagorean Theorem
- If the sides of triangle ABC are such that AB^2 + BC^2 = AC^2, then the triangle is a right triangle with Angle B as the right angle
- Sphere
- The set of all points in space that are equidistant from a fixed point called the center