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Praxis 5003: Mathematics, Exams of Mathematics

Sharda UniversityMathematics

Praxis 5003 Math Praxis 5003 Praxis 5003 math test Praxis 5003 mathematics Praxis 5003 exam prep Praxis II 5003 study guide Praxis 5003 test practice Math for Praxis test 5003 5003 Praxis math resources Praxis 5003 test tips Praxis 5003 exam questions Pass Praxis 5003 math Praxis 5003 test preparation Praxis 5003 math review Praxis 5003 online course Praxis 5003 test strategy Praxis math 5003 tutoring Praxis 5003 study materials Praxis 5003 practice questions Praxis 5003 math resources 5003 study for Praxis math Praxis math test guide 5003 Praxis 5003 math success Math portion of Praxis 5003 Praxis 5003 math training Praxis 5003 test results Praxis 5003 preparation course 5003 practice test for Praxis math Excel in Praxis 5003 math

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Praxis 5003: Mathematics
place value system - Correct Answer - one in which the position of a digit in a number
determines its value
base ten - Correct Answer - standard system. Each place represents ten times the
value of the place to its right.
Place value chart - Correct Answer - a way to make sure digits are in the right place
powers of 10 - Correct Answer - each digit to the left of the decimal point increases
progressively in powers of ten. Each digit to the right decreases progressively in powers
of ten.
rounding - Correct Answer - it's important to look at the number in the next smaller
place. If this number is 5 or more, the number in the place we're rounding is increased
by 1 and all other numbers are changed to 0. If it's less than 5 the number we're looking
at stays the same and everything to the right is changed to 0.
rational numbers - Correct Answer - integers, fractions, mixed numbers,and both
terminating and repeating decimals.
find the sum of 152.3 and 36.342 - Correct Answer - 188.642
find the difference of 152.3 and 36.342 - Correct Answer - 115.958
find the product of 3.52 and 4.1 - Correct Answer - 14.432
find the quotient of 5.3 divided by 1.45 - Correct Answer - 3.7
addition - Correct Answer - indicated by the expressions: sum, greater than, and, more
than, increased by, added to, entire, total
subtraction - Correct Answer - can be expressed by: difference, fewer than, minus, less
than, decreased by
multiplication - Correct Answer - is shown by: product, times, multiplied by, twice
*may include each or per hour
division - Correct Answer - is used for: quotient, divided by, ratio
*may include each or per hour
At his job, John gets paid $20 for every hour he works. If John made $940 in a week,
how many hours did he work? - Correct Answer - 940/20=47
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Praxis 5003: Mathematics

place value system - Correct Answer - one in which the position of a digit in a number determines its value base ten - Correct Answer - standard system. Each place represents ten times the value of the place to its right. Place value chart - Correct Answer - a way to make sure digits are in the right place powers of 10 - Correct Answer - each digit to the left of the decimal point increases progressively in powers of ten. Each digit to the right decreases progressively in powers of ten. rounding - Correct Answer - it's important to look at the number in the next smaller place. If this number is 5 or more, the number in the place we're rounding is increased by 1 and all other numbers are changed to 0. If it's less than 5 the number we're looking at stays the same and everything to the right is changed to 0. rational numbers - Correct Answer - integers, fractions, mixed numbers,and both terminating and repeating decimals. find the sum of 152.3 and 36.342 - Correct Answer - 188. find the difference of 152.3 and 36.342 - Correct Answer - 115. find the product of 3.52 and 4.1 - Correct Answer - 14. find the quotient of 5.3 divided by 1.45 - Correct Answer - 3. addition - Correct Answer - indicated by the expressions: sum, greater than, and, more than, increased by, added to, entire, total subtraction - Correct Answer - can be expressed by: difference, fewer than, minus, less than, decreased by multiplication - Correct Answer - is shown by: product, times, multiplied by, twice *may include each or per hour division - Correct Answer - is used for: quotient, divided by, ratio *may include each or per hour At his job, John gets paid $20 for every hour he works. If John made $940 in a week, how many hours did he work? - Correct Answer - 940/20=

remainder - Correct Answer - If a divisor does not divide evenly into a dividend we express the leftover amount as this. Usually indicated a fractional answer. algorithms - Correct Answer - methods or strategies for solving problems partial sums method - Correct Answer - First we sum the columns from left to right, then we add the column values. column addition method - Correct Answer - First we add the digits in each column, then we perform the place caries from right to left. right to left addition - Correct Answer - traditional method. We sum the columns from right to left, performing carries mentally or writing them down. commutative property - Correct Answer - The property that says that two or more numbers can be added or multiplied in any order without changing the result. associative property - Correct Answer - Changing the grouping of numbers will NOT change the value. For example: (7 + 4) + 8 = 7 + (4 + 8) also works with multiplication left to right subtraction - Correct Answer - we decompose the second number into smaller values and perform the individual subtractions. (ex. to solve 335-78 we break 78 down into 70+8) partial differences method - Correct Answer - first we operate on each column individually, being careful to record a sign of each result. Then we sum the results to yield the final answer same change rule - Correct Answer - takes advantage of the fact that subtraction is easier if the smaller number ends in zero. Thus, we change each number by the same amount to produce a smaller number ending in zero. (ex 335-78 becomes 337-80) partial products method - Correct Answer - we decompose each term into base-ten form, and multiply each pair of terms. short method - Correct Answer - traditional method of multiplication. We decompose only the 2nd term. (ex 84x26 becomes 84x20 and 84x6) partial quotients method - Correct Answer - we make note of two simple products and estimate our way toward a final answer. distributive property - Correct Answer - a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

30= 3 x 10= 3 x 2 x 5 Greatest Common Factor (GCF) - Correct Answer - the largest number that is a factor of all the numbers given in a problem. Least Common Multiple (LCM) - Correct Answer - the smallest number that all of the given numbers will divide into. estimation - Correct Answer - A way of making sure your answer is reasonable, rounding is a commonly used strategy (aka approximation) equation - Correct Answer - expresses a complete idea and is equivalent to an English sentence. (ex. 7 added to a number is 28 less than the number or n+7=n-28) expression - Correct Answer - encompasses only part of an idea similar to a phrase in the English language. (ex. 7 added to a number or n+7) linear algebraic expressions - Correct Answer - 1. remove parentheses and identify terms

  1. group like terms together
  2. add the like terms (2x + 3) + (3x - 2) - Correct Answer - =2x + 3 + 3x - 2 =2x + 3x + 3 - 2 =5x + 1 3(4x + 2) - Correct Answer - 3(4x) + 3(2)= 12x + 6 variables - Correct Answer - in algebraic expression these stand for unknown numbers evaluate x + 5 for x=3 - Correct Answer - x + 5 = 3 + 5 = 8 constant - Correct Answer - fixed numbers (ex. in 7x + 20y + 3, 3 is a constant as are 20 and 7.) terms - Correct Answer - parts of the expression separated by + or - factors - Correct Answer - parts that are multiplied together (ex 7x has the factors of 7 and x) coeficients - Correct Answer - constant factors that multiply a variable (ex. in 7X + 20y + 3, 20 is the coefficient of y and 7 is the coefficient of x) graphing a linear inequality - Correct Answer - the dot will be hollow if the inequality sign is < or >. If the inequality sign is ≥ or ≤ the dot on the graph will be solid. The arrow goes the direction the inequality sign points.

linear relationship - Correct Answer - a relationship in which a fixed change in one quantity results in a fixed change in another quantity. recurrence relation - Correct Answer - equation that defines a sequence recursively. Each term of the sequence is defined as a function of the preceding terms. point - Correct Answer - indicates place or position. Has no length, width or thickness. An infinite number of lines can be drawn through one point. line - Correct Answer - considered a set of points. May be straight or curved, but commonly this term refers to straight lines. Extends indefinitely in both directions plane - Correct Answer - set of points composing a flat surface. No boundaries. line segment - Correct Answer - line that has two end points ray - Correct Answer - has exactly one end point. Extends indefinitely in one direction perpendicular - Correct Answer - if two lines intersect at exactly one point and create right angles parallel - Correct Answer - two lines in the same plane that do not intersect. angle - Correct Answer - intersection of two rays. right angle - Correct Answer - measures 90 degrees acute angle - Correct Answer - measures more than 0 degrees but less than 90 degrees obtuse angle - Correct Answer - measures more than 90 degrees but less than 180 degrees. straight angle - Correct Answer - measures 180 degrees reflexive angle - Correct Answer - measures more than 180 degrees and less than 360 degrees polygon - Correct Answer - simple, closed, two-dimensional figures composed of line segments and are named according to the number of sides they have quadrilateral - Correct Answer - polygon with 4 sides trapezoid - Correct Answer - quadrilateral with exactly one pair of parallel sides

pyramid - Correct Answer - a space figure with a square base and 4 triangle shaped sides tetrahedron - Correct Answer - a 4 sided space triangle. Each face is a triangle. prism - Correct Answer - space figure with two congruent, parallel bases that are polygons. net - Correct Answer - a two-dimensional figure that can be cut out and folded up to make a three dimensional solid. perimeter - Correct Answer - the sum of the lengths of the sides of any polygon area - Correct Answer - the number of square units covered by a polygon rectangle area formula - Correct Answer - LW rectangle perimeter formula - Correct Answer - 2(L+W) triangle area formula - Correct Answer - 1/2(BH) triangle perimeter formula - Correct Answer - a+b+c parallelogram area formula - Correct Answer - bh parallelogram perimeter formula - Correct Answer - sum of lengths of sides trapezoid area formula - Correct Answer - 1/2 H(b1+b2) trapezoid perimeter formula - Correct Answer - sum of lengths of sides coordinate plane - Correct Answer - a plane with a point selected as an origin, some length selected as a unit of distance, and two perpendicular lines that intersect at the origin, with positive and negative direction selected on each line. unit conversion - Correct Answer - new units/old units or what you want/what you have convert 3 miles to yards - Correct Answer - 3 miles/1 X 1760 yards/1 mile=5280 yards Measurements of length (english system) - Correct Answer - 12 inches=1 foot 3 feet=1 yard 1760 yards = 1 mile

measurements of length (metric system) - Correct Answer - kilometer (km)=1000 meters (m) hectometer (hm)=100 meters (m) decameter (dam)=10 meters (m) decimeter (dm)=1/10 meter (m) centimeter (cm)=1/100 meter (m) milimeter (mm)=1/1000 meter (m) conversion of length from English to metric. - Correct Answer - 1 inch=2.54 centimeters 1 foot≈ 30.48 centimeters 1 yard≈ 0.91 meters I mile≈ 1.61 kilometers measurements of weight (metric system) - Correct Answer - kilogram (kg)=1000 grams (g) miligram (mg)=1/1000 gram(g) conversion of weight from metric to English - Correct Answer - 28.35 grams = 1 ounce (oz) 16 ounces = 1 pound (lb) 2000 pounds= 1 ton (t) (short ton) 1.1 ton = 1 metric ton (t) conversion of weight from English to metric - Correct Answer - 1 ounce ≈ 28.35 grams 1 pound ≈ 0.454 kilogram 1.1 ton = 1 metric ton Measurements of volume (English system) - Correct Answer - 8 fluid oz (oz) = 1 cup 2 cups (c) = 1 pint (pt) 2 pints = 1 quart (qt) 4 quarts = 1 gallon (gal) measurements of volume (metric system) - Correct Answer - kiloliter (kl) = 1000 liters (l) mililiter (ml) = 1/1000 liter conversion of volume from English to Metric - Correct Answer - 1 teaspoon (tsp) ≈ 5 mililiters 1 fluid ounce ≈ 29.57 mililiters 1 cup ≈ 0.24 liters 1 pint ≈ 0.47 liters 1 quart ≈ 0.95 liters 1 gallon ≈ 3.8 liters mean - Correct Answer - the average value of a data set median - Correct Answer - the middle of a data set

histogram - Correct Answer - used to summarize information from large sets of data that can be naturally grouped into intervals. frequency - Correct Answer - the number of times any particular data value occurs pictograph - Correct Answer - uses small figures or icons to represent data sample space - Correct Answer - in the study of probability this is a list of all possible outcomes of an experiment probability - Correct Answer - measures the chance of an event