# Glossary. Also available at BigIdeasMath.com: multi-language glossary vocabulary flash cards. An equation that contains an absolute value expression

Size: px
Start display at page:

Download "Glossary. Also available at BigIdeasMath.com: multi-language glossary vocabulary flash cards. An equation that contains an absolute value expression"

Transcription

1 Glossar This student friendl glossar is designed to be a reference for ke vocabular, properties, and mathematical terms. Several of the entries include a short eample to aid our understanding of important concepts. Also available at BigIdeasMath.com: multi-language glossar vocabular flash cards absolute value The distance between a number and 0 on a number line; The absolute value of a number a is written as a absolute value equation An equation that contains an absolute value epression absolute value function A function that has a V-shaped graph that opens up or down; The most basic absolute value function is f. f() absolute value inequalit An inequalit that contains an absolute value epression < Addition Propert of Equalit Adding the same number to each side of an equation produces an equivalent equation. If a b, then a + c b + c Addition Propert of Inequalit If ou add the same number to each side of an inequalit, the inequalit remains true. a < b, then a + c < b + c. This propert is also true for >,, and. > > 7 Copright Big Ideas Learning, LLC Big Ideas Math Algebra 9

2 Addition Propert of Zero The sum of an number and 0 is that number a + 0 a arithmetic sequence A sequence in which the difference between consecutive terms is the same; This difference is called the common difference., 5, 7, 9, Terms of an arithmetic sequence Common difference Associative Propert of Addition Changing the grouping of addends does not change the sum. Associative Propert of Multiplication Changing the grouping of factors does not change the product. ( + ) ( + 5) ( a + b) + c a + ( b + c) ( ) 5 ( 5) ( a b) c a ( b c) asmptote A line that a graph approaches, but never intersects 5 + ais of smmetr The vertical line that divides a parabola into two smmetric parts decreasing increasing Ais of smmetr Verte base (of a power) The base of a power is the common factor. binomial A polnomial with two terms See power Big Ideas Math Algebra Copright Big Ideas Learning, LLC

3 bo-and-whisker plot Displas a data set along a number line using medians; Quartiles divide the data set into four equal parts. The median (second quartile) divides the data set into two halves. The median of the lower half is the first quartile. The median of the upper half is the third quartile. least value first quartile whisker bo median third quartile whisker greatest value causation When a change in one variable results in a change in another variable; This produces a strong correlation between the two variables. time spent eercising and the number of calories burned See five-number summar. closed A set of numbers is closed under an operation when the operation performed on an two numbers in the set results in a number that is also in the set. The set of integers is closed under addition, subtraction, and multiplication; but not under division. coefficient The numerical factor of a term that contains a variable In the algebraic epression 5 +, 5 is the coefficient of the term 5. common difference The difference between consecutive terms of an arithmetic sequence common ratio The ratio between consecutive terms of a geometric sequence See arithmetic sequence. See geometric sequence. Commutative Propert of Addition Changing the order of addends does not change the sum. Commutative Propert of Multiplication Changing the order of factors does not change the product a + b b + a 8 8 a b b a Copright Big Ideas Learning, LLC Big Ideas Math Algebra 5

4 completing the square A method for solving quadratic equations; In this method, a constant c is added to the epression + b so that + b + c is a perfect square trinomial b b b compound inequalit An inequalit formed b joining two inequalities with the word and or the word or. and < 5 or > < < 7 compound interest Interest earned on the principal and on previousl earned interest conjugates Used to simplif radical epressions that involve a sum or difference of radicals in the denominator The balance of an account earning compound nt r interest is P +, where P is the n principal (initial amount), r is the annual interest rate (in decimal form), t is the time (in ears), and n is the number of times interest is compounded per ear. constant term A term without a variable In the epression + 8, the term 8 is a constant term. a b + c d and a b c d are conjugates. continuous domain A set of input values that consists of all numbers in an interval All numbers from to coordinate plane A coordinate plane is formed b the intersection of a horizontal number line, usuall called the -ais, and a vertical number line, usuall called the -ais. The horizontal number line is usuall called the -ais. Quadrant II 5 5 O Quadrant III 5 Quadrant I The vertical number line is usuall called the -ais. 5 The origin is at (0, 0). Quadrant IV correlation The relationship between paired data; The paired data have a positive correlation if tends to increase as increases, a negative correlation if tends to decrease as increases, and no correlation if and have no apparent relationship. Positive relationship O Negative relationship No relationship O O 5 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

5 correlation coefficient When a calculator uses linear regression to find a line of best fit, it often gives a value r called the correlation coefficient. This value tells whether the correlation is positive or negative, and how closel the equation models the data. Values of r range from to. Cross Products Propert The cross products of a proportion are equal. 6 6 r r 0 r Strong negative correlation No correlation Strong positive correlation data Information, often given in the form of numbers or facts degree of a monomial The sum of the eponents of the variables in a monomial; The degree of a nonzero constant term is 0. The degree of 5 is 0. The degree of is. The degree of is +. degree of a polnomial The greatest degree of the terms of a polnomial denominator The number below the fraction bar in a fraction The degree of 6 + is. 5 The degree of + 8 is 5. In the fraction, 5 the denominator is 5. dependent variable The variable that represents output values of a function direct variation Two quantities and show direct variation when k, where k is a nonzero constant. In the function, is the dependent variable. k, k > 0 k, k < 0 Copright Big Ideas Learning, LLC Big Ideas Math Algebra 5

6 discrete domain A set of input values that consists of onl certain numbers in an interval Integers from to discriminant The epression b ac of the associated equation a + b + c 0; The epression under the radical sign, b ac, in the quadratic formula; Used to determine the number of real solutions of a quadratic equation The value of the discriminant of the equation 7 0 is b ac distance formula The distance d between an two, and points ( ) (, ) is given b the formula. d + (, ) d (, ) (, ) Distributive Propert To multipl a sum or difference b a number, multipl each number in the sum or difference b the number outside the parentheses. Then evaluate. ( + 9) + 9 ab ( + c) ab+ ac ( 9) 9 ab ( c) ab ac Division Propert of Equalit Dividing each side of an equation b the same number produces an equivalent equation. If a b, then a c b c, c Division Propert of Inequalit (Case ) If ou divide each side of an inequalit b the same negative number, the direction of the inequalit smbol must be reversed for the inequalit to remain true. If a < b and c < 0, then c >. c This propert is also true for >,, and. 5 > < 5 5 < 6 a b Division Propert of Inequalit (Case ) If ou divide each side of an inequalit b the same positive number, the inequalit remains true. a b a < b and c > 0, then <. This propert is also true for >,, and. domain c c > > > The set of all input values of a function For the ordered pairs ( 0, 6 ), (, 7 ), (, 8 ), and (, 9 ), the domain is 0,,, and. 5 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

7 equation A mathematical sentence that uses an equal sign to show that two epressions are equal 6 a + 7 equivalent equations Equations that have the same solution(s) 8 0 and 8 ecluded value A number that makes a rational function or a rational epression undefined. A number that makes the denominator equal to 0 The ecluded value of is eponent The number or variable that represents the number of times the base of a power is used as a factor See power. eponential deca When a quantit decreases b the same factor over equal intervals of time See eponential deca function. eponential deca function A function of the form a( r) a > 0 and 0 < r < See eponential deca., where t t t eponential function A function of the form ab, where a 0, b, and b > 0 eponential growth When a quantit increases b the same factor over equal intervals of time () See eponential growth function. Copright Big Ideas Learning, LLC Big Ideas Math Algebra 55

8 eponential growth function t A function of the form a( r) a > 0 and r > 0 See eponential growth. +, where t t epression A mathematical phrase containing numbers, operations, and/or variables + 6, 8 +, 8 +, 6 a b etraneous solution A solution of a transformed equation that is not a solution of the original equation factor An integer or epression that divides an integer or epression without leaving a remainder When ou square each side of +, the resulting equation has two solutions, and. However, is an etraneous solution because it does not satisf the original equation.,, and are factors of. ( ) and ( ) + are factors of. factored completel A factorable polnomial with integer coefficients is said to be factored completel when no more factors can be found and it is written as the product of prime factors ( ) factored form A polnomial is in factored form when it is written as a product of factors factoring b grouping To factor polnomials with four terms, group the terms into pairs, factor the GCF out of each pair of terms, and look for a common binomial factor ( )( ) + + five-number summar The five numbers that make up a bo-and-whisker plot (least value, first quartile, median, third quartile, and greatest value) See bo-and-whisker plot. 56 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

9 focus A fied point on the interior of a parabola that lies on the ais of smmetr; A parabola wraps around the focus. For functions of the form a, the focus is 0,. a function A relationship that pairs each input with eactl one output The ordered pairs ( 0, ), (, ), (, ), and (, 6 ) represent a function. Ordered Pairs ( 0, ) (, ) (, ), 6 Input 0 Output 6 geometric sequence A sequence in which the ratio between consecutive terms is the same; This ratio is called the common ratio.,, 6, 6, Terms of a geometric sequence Common ratio FOIL Method A shortcut for multipling two binomials; To multipl two binomials using the FOIL Method, find the sum of the products of the First terms, Outer terms, Inner terms, and Last terms. ( )( ) ( ) ( ) ( )( ) F + + O + + I + + L + + function notation A wa to name a function using f instead of ; The notation f is read as the value of f at or f of. 5 + can be written in function notation as f + 5. graph of an inequalit A graph that shows all of the solutions of an inequalit on a number line > 0 graph of a linear inequalit A graph in two variables that shows all of the solutions of an inequalit in a coordinate plane The graph of is the shaded half-plane. O graph of a sstem of linear inequalities A graph of all the solutions of a sstem 6 5 < + 5 Copright Big Ideas Learning, LLC Big Ideas Math Algebra 57

10 greatest common factor (GCF) The largest of the common factors of two or more nonzero integers or epressions half-planes In a coordinate plane, the regions on either side of a boundar line The common factors of and 0 are,, and. So the GCF of and 0 is. See graph of a linear inequalit. The common factors of and 6 are,,,, and. So the GCF of and 6 is. hpotenuse The side of a right triangle that is opposite the right angle independent variable The variable that represents input values of a function leg hpotenuse In the function 5 8, is the independent variable. leg inequalit A mathematical sentence that compares epressions; It contains the smbols <, >,, or. input A number on which a function operates < See function. integers The set of whole numbers and their opposites interest Mone paid or earned for the use of mone,,, 0,,,, See compound interest and simple interest. 58 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

11 interquartile range The difference of the third quartile of a data set and the first quartile of the data set; It represents the range of the middle half of the data. The interquartile range of the data set is 8. first quartile third quartile 5, 8,, 8, 5,, 55 inverse function When a relation and its inverse are functions, the are called inverse functions. The inverse of a function f is written as f. To find the inverse of a function represented b an equation, switch and and then solve for. 5 f 5 and f + are inverse functions. inverse relation Switches the input and output values of a relation; If a relation contains (a, b), then the inverse relation contains (b, a). inverse variation Two quantities and show inverse variation k when, where k is a nonzero constant. k k, k > 0, k < 0 irrational number A number that cannot be written as the ratio of two integers joint frequenc Each entr in a two-wa table π, least common denominator (LCD) of rational epressions The least common multiple of the denominators of two or more rational epressions 5 The least common denominator of and 0 is the least common multiple of 0 and, or 60. legs The two sides of a right triangle that form the right angle See hpotenuse. Copright Big Ideas Learning, LLC Big Ideas Math Algebra 59

12 line of best fit A precise line that best models a set of data See linear regression. line of fit A line drawn on a scatter plot that is close to most of the data points; It can be used to estimate data on a graph. Stud Time and Test Scores Test scores Stud time (minutes) linear equation An equation whose graph is a line O linear function A function whose graph is a nonvertical line; A linear function can be written in the form m + b. linear inequalit in two variables An inequalit that is the result of replacing the equal sign in a linear equation with <,, >, or. linear regression The process used to find the line of best fit for a set of data < 8 slope -intercept correlation coefficient literal equation An equation that has two or more variables + 6 marginal frequencies The sums of the rows and columns in a two-wa table 60 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

13 maimum value The -coordinate of the verte of the graph of a + b + c when a < 0 mean The sum of the values in a data set divided b the number of data values maimum The mean of the values 7,, 8, and 9 is measure of central tendenc A measure that represents the center of a data set measure of dispersion A measure that describes the spread of a data set The mean, median, and mode are all measures of central tendenc. The range and standard deviation are measures of dispersion. median For a data set with an odd number of ordered values, the median is the middle data value. For a data set with an even number of ordered values, the median is the mean of the two middle values. minimum value The -coordinate of the verte of the graph of a + b + c when a > 0 The median of the data set, 5, 9,, 8 is 9 because 9 is the middle value. minimum mode The data value or values that occur most often; Data can have one mode, more than one mode, or no mode. monomial A number, a variable, or a product of a number and one or more variables with whole number eponents The modes of the data set,,, 7, 7, 9, are and 7 because the occur most often Copright Big Ideas Learning, LLC Big Ideas Math Algebra 6

14 Multiplication Properties of Zero and One The product of an number and 0 is 0. The product of an number and is that number a a a Multiplication Propert of Equalit Multipling each side of an equation b the same number produces an equivalent equation. If a b, then a c b c. 8 8 Multiplication Propert of Inequalit (Case ) If ou multipl each side of an inequalit b the same positive number, the inequalit remains true. If a < b and c > 0, then a c < b c. This propert is also true for >,, or. < 9 < 9 < 8 Multiplication Propert of Inequalit (Case ) If ou multipl each side of an inequalit b the same negative number, the direction of the inequalit smbol must be reversed for the inequalit to remain true. If a < band c < 0, then a c > b c. This propert is also true for >,, or. < 6 6 > 6 6 > 8 negative eponent For an integer n and an nonzero number a, a n is the reciprocal of a. a n n a n negative number A number less than 0 0.5, 0, 500 nonlinear function A function that does not have a constant rate of change; The graph of a nonlinear function is not a line. nth root n When b a for an integer n greater than, b is an nth root of a. 6 n a n th root of a 6 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

15 number line A line whose points are associated with numbers that increase from left to right numerator The number above the fraction bar in a fraction In the fraction, 5 the numerator is. 0 ordered pair A pair of numbers (, ) used to locate a point in a coordinate plane; The first number is the -coordinate, and the second number is the -coordinate. (, ) origin The point, represented b the ordered pair ( 0, 0, ) where the -ais and the -ais meet in a coordinate plane See coordinate plane. O The -coordinate of the point (, ) is, and the -coordinate is. output A number produced b evaluating a function using a given input See function. parabola The U-shaped graph of a quadratic function perfect square A number with integers as its square roots 6, 5, 8 perfect square trinomial Trinomials of the form a + ab + b and a ab + b. () () Copright Big Ideas Learning, LLC Big Ideas Math Algebra 6

16 perpendicular lines Two lines in the same plane that intersect to form right angles; Two nonvertical lines are perpendicular if and onl if the product of their slopes is. + piecewise function A function defined b two or more equations, if 0 +, if > 0 +, > 0, 0 plane A flat surface that etends without end in all directions point-slope form A linear equation written in the form m The line passes through ; the point (, ) and the slope of the line is m. + 6 ( ) polnomial A monomial or a sum of monomials; Each monomial is called a term of the polnomial positive number A number greater than 0 0.5,, 00 power A product of repeated factors Power of a Power Propert To find a power of a power, multipl the eponents. base 5 eponent Power is used as a factor 5 times. 8 m ( a ) n a mn 6 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

17 Power of a Product Propert To find a power of a product, find the power of each factor and multipl. ( ab) m m m a b Power of a Quotient Propert To find a power of a quotient, find the power of the numerator and the power of the denominator and divide m m a a m b b prime number A whole number greater than whose onl factors are and itself prime polnomial A polnomial that cannot be factored as a product of polnomials with integer coefficients,, 5, 7,,, 7, 9,, 9,, principal An amount of mone borrowed or deposited You deposit \$00 in an account that earns % compound interest per ear. The principal is \$00. product The result when two or more numbers or epressions are multiplied The product of and is ( ), or. The product of + and 5 is + 5, or 0. Product of Powers Propert To multipl powers with the same base, add their eponents. Product Propert of Square Roots The square root of a product equals the product of the square roots of the factors a a a m n m+ n, where 0 and 0 Copright Big Ideas Learning, LLC Big Ideas Math Algebra 65

18 Pthagorean Theorem In an right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hpotenuse. a + b c cm 5 cm quadratic equation A nonlinear equation that can be written in the standard form a + b + c 0, where a cm 5 + quadratic formula The formula below that can be used to find the real solutions of the quadratic equation a + b + c, where a 0 and b ac 0: b ± b ac a To solve + 7 0, substitute for a, for b, and 7 for c in the quadratic formula. ± 7 or 7 quartile Divides a data set into four equal parts See bo-and-whisker plot. quadratic function A nonlinear function that can be written in the standard form a + b + c, where a 0 quotient The result of a division The quotient of 0 and 5 is 0 ( 5 ), or. Quotient of Powers Propert To divide powers with the same base, subtract their eponents. Quotient Propert of Square Roots The square root of a quotient equals the quotient of the square roots of the numerator and denominator a a m n m n a, where a , where 0 and > 0 66 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

19 radical sign The smbol square root which is used to represent a ± 00 ± 0 radicand The number or epression under a radical sign The radicand of 5 is 5. The radicand of + is +. range The set of all output values of a function For the ordered pairs ( 0, 6 ), (, 7 ), (, 8 ), and (, 9 ), the range is 6, 7, 8, and 9. range (of a data set) The difference between the greatest value and the least value of a data set; The range describes how spread out the data are. The range of the data set, 6, 8,, 7, 5 is 5. rate A ratio of two quantities with different units You read books ever weeks. ratio A comparison of two quantities using division; The ratio of a to b ( where b 0) can be written a as a to b, a : b, or. b to, :, or rational equation An equation that contains one or more rational epressions rational eponents The nth root of a positive number a can be written as a power with base a and an eponent of /n. 5 + n 8 8 a a n Copright Big Ideas Learning, LLC Big Ideas Math Algebra 67

20 rational epression An epression that can be written as a fraction whose numerator and denominator are polnomials + rational function A function of the form polnomial, where polnomial the denominator does not equal 0; The most basic rational function is + 6. rational number a A number that can be written as, b a and b are integers and b 0, , where rationalizing the denominator The process of eliminating a radical from the denominator of an epression b multipling the epression b an appropriate form of real numbers The set of all rational and irrational numbers, 6.5, π, recursive rule Gives the beginning term(s) of a sequence and an equation that indicates how an term a n in the sequence relates to the previous term a a + d where d is the common difference n n, a, an an + an r an, where r is the common ratio a, a a n n relation Pairs inputs with outputs; A relation that pairs each input with eactl one output is a function. Input 9 5 Output residual The difference between the -value of a data point and the corresponding -value found using the line of fit; A residual can be positive, negative, or zero. positive residual data point line of fit negative residual data point 68 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

21 right angle An angle whose measure is 90 right triangle A triangle that has one right angle rise The change in between two points on a line See slope. roots The solutions of a polnomial equation The roots of the equation ( )( ) 9 and are run The change in between two points on a line See slope. scatter plot A graph that shows the relationship between two data sets using ordered pairs in a coordinate plane Stud Time and Test Scores Test scores Stud time (minutes) sequence An ordered list of numbers simple interest Mone paid or earned onl on the principal 5, 0, 5, 0,, a,,, 8, 6,, a, n n Simple interest Principal I Prt Annual interest rate (in decimal form) Time (in ears) You put \$00 into an account. The account earns 5% simple interest per ear. The interest earned after ears is \$ , or \$0. The account balance is \$00 + \$0 \$0 after ears. Copright Big Ideas Learning, LLC Big Ideas Math Algebra 69

22 simplest form of a radical epression A radical epression that has no perfect square factors other than in the radicand, no fractions in the radicand, and no radicals appearing in the denominator of a fraction simplest form of a rational epression A rational epression whose numerator and denominator have no common factors ecept The simplest form of is slope A ratio of the change in (the rise) to the change, and in (the run) between an two points, ( ) (, ) on a line; It is a measure of the steepness of a line. rise change in slope run change in solution of an equation A value that makes an equation true (, ) (, ) Rise Run O slope-intercept form A linear equation written in the form m + b; The slope of the line is m and the -intercept of the line is b. The slope is and the -intercept is. (, 5) 5 (, ) + (, ) (0, ) solution of an inequalit A value that makes an inequalit true 6 is the solution of the equation. A solution of the inequalit + > 9 is. solution of a linear equation An ordered pair (, ) that makes a linear equation true; All of the points on the line are solutions. (, ) is a solution of + 6 solution of a linear inequalit An ordered pair (, ) that makes a linear inequalit true; All of the points in the shaded half-plane are solutions., is a solution of + >. See graph of a linear inequalit. 70 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

23 solution set The set of all solutions of an inequalit solution of a sstem of linear equations An ordered pair that is a solution of each equation in a sstem (, ) is the solution of the following sstem of linear equations solution of a sstem of linear inequalities An ordered pair that is a solution of each inequalit in a sstem (, 5) is a solution of the following sstem of linear inequalities. < 9 square root If b a, then b is a square root of a. The radical sign,, represents a nonnegative square root. The square roots of 5 are 5 and 5 because 5 5 and 5 5. So, 5 5 and 5 5. square root equation An equation that contains a square root with a variable in the radicand square root function A function that contains a square root with the independent variable in the radicand; The most basic square root function is standard deviation A measure of how much a tpical value in a data set differs from the mean; It is given b standard deviation ( ) + ( ) + + ( ) n n where n is the number of values in the data set. The smbol represents the mean. It is read as -bar. standard form A linear equation written in the form a + b c, where a and b are not both zero + 6 Copright Big Ideas Learning, LLC Big Ideas Math Algebra 7

24 step function A piecewise function defined b constant values over its domain f 50, if 0 < 75, if < 00, if < 5, if < 50, if < 5 Subtraction Propert of Equalit Subtracting the same number from each side of an equation produces an equivalent equation. If a b, then a c b c Subtraction Propert of Inequalit If ou subtract the same number from each side of an inequalit, the inequalit remains true. If a < b, then a c < b c. This propert is also true for >,, and. + 7 > > 7 sstem of linear equations A set of two or more linear equations in the same variables; also called a linear sstem + Equation 7 Equation sstem of linear inequalities A set of two or more linear inequalities in the same variables term (of a sequence) Each number in a sequence; Each term a n has a specific position n in the sequence. < + Inequalit Inequalit 5, 0, 5, 0, 5,, a, st position rd position nth position n terms (of an epression) The parts of an epression that are added together theorem A rule in mathematics The terms of + are,, and. The Pthagorean Theorem 7 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

25 trinomial A polnomial with three terms two-wa table Displas two categories of data collected from the same source variable A smbol, usuall a letter, that represents one or more numbers is a variable in +. verte (of a parabola) The lowest or highest point on a parabola Function is decreasing Function is increasing. Ais of smmetr: Verte: (, ) verte form A quadratic function of the ( h) + k, where a 0; The verte of the parabola is ( h, k ). Vertical Line Test A graph represents a function when no vertical line passes through more than one point on the graph. Function Not a function ( ) ( ) + + whole numbers The numbers 0,,,,, -ais The horizontal number line in a coordinate plane See coordinate plane. Copright Big Ideas Learning, LLC Big Ideas Math Algebra 7

26 -coordinate The first coordinate in an ordered pair, which indicates how man units to move to the left or right from the origin In the ordered pair (, 5 ), the -coordinate is. -intercept The -coordinate of the point where a line crosses the -ais (0, b) -intercept b -intercept a O (a, 0) -ais The vertical number line in a coordinate plane See coordinate plane. -coordinate The second coordinate in an ordered pair, which indicates how man units to move up or down from the origin In the ordered pair (, 5 ), the -coordinate is 5. -intercept The -coordinate of the point where a line crosses the -ais See -intercept. zero (of a function) An -value for which f( ) 0; A zero is located at the -intercept of the graph of the function. The zero of f f 6 is because 0. zero eponent 0 For an nonzero number a, a , where 0 Zero-Product Propert If the product of two real numbers is 0, then at least one of the numbers is 0. If a and b are real numbers and ab 0, then a 0 or b 0. ( )( ) or or 5 7 Big Ideas Math Algebra Copright Big Ideas Learning, LLC

### Glossary. Also available at BigIdeasMath.com: multi-language glossary vocabulary flash cards

Glossar This student friendl glossar is designed to be a reference for ke vocabular, properties, and mathematical terms. Several of the entries include a short eample to aid our understanding of important

### Learning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1

College of Charleston Department of Mathematics Math 0: College Algebra Final Eam Review Problems Learning Goals (AL-) Arithmetic of Real and Comple Numbers: I can classif numbers as natural, integer,

### Algebra One Dictionary

Algebra One Dictionary Page 1 of 17 A Absolute Value - the distance between the number and 0 on a number line Algebraic Expression - An expression that contains numbers, operations and at least one variable.

### Evaluate algebraic expressions for given values of the variables.

Algebra I Unit Lesson Title Lesson Objectives 1 FOUNDATIONS OF ALGEBRA Variables and Expressions Exponents and Order of Operations Identify a variable expression and its components: variable, coefficient,

### absolute value The distance of a number from zero on a real number line.

G L O S S A R Y A absolute value The distance of a number from zero on a real number line. acute angle An angle whose measure is less than 90. acute triangle A triangle in which each of the three interior

### Algebra II Notes Unit Five: Quadratic Functions. Syllabus Objectives: 5.1 The student will graph quadratic functions with and without technology.

Sllabus Objectives:.1 The student will graph quadratic functions with and without technolog. Quadratic Function: a function that can be written in the form are real numbers Parabola: the U-shaped graph

### Polynomial and Rational Functions

Name Date Chapter Polnomial and Rational Functions Section.1 Quadratic Functions Objective: In this lesson ou learned how to sketch and analze graphs of quadratic functions. Important Vocabular Define

### Algebra 1 Skills Needed for Success in Math

Algebra 1 Skills Needed for Success in Math A. Simplifing Polnomial Epressions Objectives: The student will be able to: Appl the appropriate arithmetic operations and algebraic properties needed to simplif

### Algebra 2 Honors Summer Packet 2018

Algebra Honors Summer Packet 018 Solving Linear Equations with Fractional Coefficients For these problems, ou should be able to: A) determine the LCD when given two or more fractions B) solve a linear

### review math0410 (1-174) and math 0320 ( ) aafinm mg

Eam Name review math04 (1-174) and math 0320 (17-243) 03201700aafinm0424300 mg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif. 1) 7 2-3 A)

### Northwest High School s Algebra 2/Honors Algebra 2

Northwest High School s Algebra /Honors Algebra Summer Review Packet 0 DUE Frida, September, 0 Student Name This packet has been designed to help ou review various mathematical topics that will be necessar

### Unit 2 Notes Packet on Quadratic Functions and Factoring

Name: Period: Unit Notes Packet on Quadratic Functions and Factoring Notes #: Graphing quadratic equations in standard form, verte form, and intercept form. A. Intro to Graphs of Quadratic Equations: a

### FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name 1) Find the SUM of the solutions of the equation. 82 + 0 = 16 Use the quadratic formula to solve the equation. (All solutions are real numbers.)

### A. Simplifying Polynomial Expressions

A. Simplifing Polnomial Epressions I. Combining Like Terms - You can add or subtract terms that are considered "like", or terms that have the same variable(s) with the same eponent(s). E. 1: 5-7 + 10 +

### Algebra 2 CPA Summer Assignment 2018

Algebra CPA Summer Assignment 018 This assignment is designed for ou to practice topics learned in Algebra 1 that will be relevant in the Algebra CPA curriculum. This review is especiall important as ou

### nonadjacent angles that lie on opposite sides of the transversal and between the other two lines.

WORD: Absolute Value DEFINITION: The distance from zero, distance is always positive. WORD: Absolute Value Function DEFINITION: A function whose rule contains an absolute value expression. EXAMPLE(S) COUNTEREXAMPLE(S):

### Algebra 1 Duxbury Middle School > > Grade 8 > Mathematics > Algebra 1 > Iacadoro, Stephanie Tuesday, February 28, 2017, 11:58AM

Algebra 1 Duxbury Middle School > 2016-2017 > Grade 8 > Mathematics > Algebra 1 > Iacadoro, Stephanie Tuesday, February 28, 2017, 11:58AM Unit Unit 0: Preparing for Algebra * for 282 only (Week 1, 9 Skills

### Algebra 1 Skills Needed to be Successful in Algebra 2

Algebra 1 Skills Needed to be Successful in Algebra A. Simplifing Polnomial Epressions Objectives: The student will be able to: Appl the appropriate arithmetic operations and algebraic properties needed

### f(x) = 2x 2 + 2x - 4

4-1 Graphing Quadratic Functions What You ll Learn Scan the tet under the Now heading. List two things ou will learn about in the lesson. 1. Active Vocabular 2. New Vocabular Label each bo with the terms

### math FALL developmental mathematics sullivan 1e

TSIpractice eam review 1 131 180 plus 34 TSI questions for elementar and intermediate algebra m0300004301 aaa Name www.alvarezmathhelp.com math0300004301 FALL 01 100 interactmath developmental mathematics

NFC ACADEMY COURSE OVERVIEW Algebra I Fundamentals is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite

### On a video game, Jacob got 1685 points and earned two bonuses worth 193 and 270 points. What is his total score? Answer: 2148 points

Chapter Numerical Expressions and Factors Information Frame 9. Sample answers are given.. Ke Words: the sum of, the total of Real-Life Application : On a video game, Jacob got 68 points and earned two

### Intermediate Algebra 100A Final Exam Review Fall 2007

1 Basic Concepts 1. Sets and Other Basic Concepts Words/Concepts to Know: roster form, set builder notation, union, intersection, real numbers, natural numbers, whole numbers, integers, rational numbers,

A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Addends The numbers being added in an addition problem Addition principle

### review for math TSI 182 practice aafm m

Eam TSI 182 Name review for math TSI 182 practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif.

### Name Period Date. Practice FINAL EXAM Intro to Calculus (50 points) Show all work on separate sheet of paper for full credit!

Name Period Date Practice FINAL EXAM Intro to Calculus (0 points) Show all work on separate sheet of paper for full credit! ) Evaluate the algebraic epression for the given value or values of the variable(s).

### Algebra 2 Semester Exam Review

Algebra Semester Eam Review 7 Graph the numbers,,,, and 0 on a number line Identif the propert shown rs rs r when r and s Evaluate What is the value of k k when k? Simplif the epression 7 7 Solve the equation

### math0320 FALL interactmath sections developmental mathematics sullivan 1e

Eam final eam review 180 plus 234 TSI questions for intermediate algebra m032000 013014 NEW Name www.alvarezmathhelp.com math0320 FALL 201 1400 interactmath sections developmental mathematics sullivan

### addend angle composite number capacity Vocabulary Flash Cards Review Review Review Review Review Review

addend angle area bar graph capacity composite number cubic units difference A figure formed by two rays with the same endpoint A number to be added to another number. 2 or 3 in the sum 2 + 3. A graph

### Chapter 9. Worked-Out Solutions. Check. Chapter 9 Maintaining Mathematical Proficiency (p. 477) y = 2 x 2. y = 1. = (x + 5) 2 4 =?

Maintaining Mathematical Proficienc (p. ). x + 0x + x + (x)() + (x + ). x 0x + 00 x (x)(0) + 0 (x 0). x + x + x + (x)() + (x + ). x x + x (x)(9) + 9 (x 9). x + x + x + (x)() + (x + ) Check x x +? ()? ()

### COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Note Guideline of Algebraic Concepts. Designed to assist students in A Summer Review of Algebra

COUNCIL ROCK HIGH SCHOOL MATHEMATICS A Note Guideline of Algebraic Concepts Designed to assist students in A Summer Review of Algebra [A teacher prepared compilation of the 7 Algebraic concepts deemed

### Study Guide for Math 095

Study Guide for Math 095 David G. Radcliffe November 7, 1994 1 The Real Number System Writing a fraction in lowest terms. 1. Find the largest number that will divide into both the numerator and the denominator.

### Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1

Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () 1 1 1 1 f. 1 g. h. 1 11 i. 9. Solve the following equations for the given variable: 1 Solve for. D ab

### Algebra I Unit Report Summary

Algebra I Unit Report Summary No. Objective Code NCTM Standards Objective Title Real Numbers and Variables Unit - ( Ascend Default unit) 1. A01_01_01 H-A-B.1 Word Phrases As Algebraic Expressions 2. A01_01_02

### Index I-1. in one variable, solution set of, 474 solving by factoring, 473 cubic function definition, 394 graphs of, 394 x-intercepts on, 474

Index A Absolute value explanation of, 40, 81 82 of slope of lines, 453 addition applications involving, 43 associative law for, 506 508, 570 commutative law for, 238, 505 509, 570 English phrases for,

### MATH 0312 FINAL EXAM REVIEW ITEMS

MATH 012 FINAL EXAM REVIEW ITEMS Name The items on this review are representative of the items that ou might see on our course final eam. No formul sheets are allowed and calculators are not allowed on

### C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x - (6x + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution

Sample Departmental Final - Math 46 Perform the indicated operation. Simplif if possible. 1) 7 - - 2-2 + 3 2 - A) + - 2 B) - + 4-2 C) + 4-2 D) - + - 2 Solve the problem. 2) The sum of a number and its

### review for math TSI 55 practice aafm m

Eam TSI Name review for math TSI practice 01704041700aafm042430m www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the

### California State University, Northridge

California State Universit, Northridge MATH 09 HYBRID WORKBOOKS Spring 00 Chapter Equations, Inequalities and Applications. The Addition Propert of Equalit Learning Objectives:. Use the Addition Propert

### Beginning Algebra. 1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions

1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions Beginning Algebra 1.3 Review of Decimal Numbers and Square Roots 1.4 Review of Percents 1.5 Real Number System 1.6 Translations:

### + = + + = x = + = + = 36x

Ch 5 Alg L Homework Worksheets Computation Worksheet #1: You should be able to do these without a calculator! A) Addition (Subtraction = add the opposite of) B) Multiplication (Division = multipl b the

### Math 120. x x 4 x. . In this problem, we are combining fractions. To do this, we must have

Math 10 Final Eam Review 1. 4 5 6 5 4 4 4 7 5 Worked out solutions. In this problem, we are subtracting one polynomial from another. When adding or subtracting polynomials, we combine like terms. Remember

A Glossary Absolute value The distance a number is from 0 on a number line Acute angle An angle whose measure is between 0 and 90 Acute triangle A triangle in which all three angles are acute Addends The

### Algebra/Pre-calc Review

Algebra/Pre-calc Review The following pages contain various algebra and pre-calculus topics that are used in the stud of calculus. These pages were designed so that students can refresh their knowledge

### Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Order of Operations Expression Variable Coefficient

### Keystone Exams: Algebra

KeystoneExams:Algebra TheKeystoneGlossaryincludestermsanddefinitionsassociatedwiththeKeystoneAssessmentAnchorsand Eligible Content. The terms and definitions included in the glossary are intended to assist

### Math 75 Mini-Mod Due Dates Spring 2016

Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing

### ACCUPLACER MATH 0311 OR MATH 0120

The University of Teas at El Paso Tutoring and Learning Center ACCUPLACER MATH 0 OR MATH 00 http://www.academics.utep.edu/tlc MATH 0 OR MATH 00 Page Factoring Factoring Eercises 8 Factoring Answer to Eercises

### Algebra Review C H A P T E R. To solve an algebraic equation with one variable, find the value of the unknown variable.

C H A P T E R 6 Algebra Review This chapter reviews key skills and concepts of algebra that you need to know for the SAT. Throughout the chapter are sample questions in the style of SAT questions. Each

### Algebra 1 Khan Academy Video Correlations By SpringBoard Activity and Learning Target

Algebra 1 Khan Academy Video Correlations By SpringBoard Activity and Learning Target SB Activity Activity 1 Investigating Patterns 1-1 Learning Targets: Identify patterns in data. Use tables, graphs,

### Record and Practice Journal Answer Key

Record and Practice Journal Answer Ke Chapter Fair Game Review......... F. floors......... \$. groups. Activit. Triangle. a. The sum of the angle measures of a triangle is. Answer should include, but is

### MA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations.

Focus Statement: Students will solve multi-step linear, quadratic, and compound equations and inequalities using the algebraic properties of the real number system. They will also graph linear and quadratic

### Advanced Algebra Scope and Sequence First Semester. Second Semester

Last update: April 03 Advanced Algebra Scope and Sequence 03-4 First Semester Unit Name Unit : Review of Basic Concepts and Polynomials Unit : Rational and Radical Epressions Sections in Book 0308 SLOs

### College Algebra with Corequisite Support: Targeted Review

College Algebra with Corequisite Support: Targeted Review 978-1-63545-056-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable)

### Course 15 Numbers and Their Properties

Course Numbers and Their Properties KEY Module: Objective: Rules for Eponents and Radicals To practice appling rules for eponents when the eponents are rational numbers Name: Date: Fill in the blanks.

### ( 3x. Chapter Review. Review Key Vocabulary. Review Examples and Exercises 6.1 Properties of Square Roots (pp )

6 Chapter Review Review Ke Vocabular closed, p. 266 nth root, p. 278 eponential function, p. 286 eponential growth, p. 296 eponential growth function, p. 296 compound interest, p. 297 Vocabular Help eponential

### MATH Spring 2010 Topics per Section

MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line

### Algebra I Learning Targets Chapter 1: Equations and Inequalities (one variable) Section Section Title Learning Target(s)

Chapter 1: Equations and Inequalities (one variable) Section Learning Target(s) I can 1.2 Evaluate and Simplify Algebraic Expressions 1. Evaluate and simplify numeric and algebraic expressions (order of

### Review of Essential Skills and Knowledge

Review of Essential Skills and Knowledge R Eponent Laws...50 R Epanding and Simplifing Polnomial Epressions...5 R 3 Factoring Polnomial Epressions...5 R Working with Rational Epressions...55 R 5 Slope

8th Grade Math Definitions Absolute Value: 1. A number s distance from zero. 2. For any x, is defined as follows: x = x, if x < 0; x, if x 0. Acute Angle: An angle whose measure is greater than 0 and less

### 1.1 Laws of exponents Conversion between exponents and logarithms Logarithm laws Exponential and logarithmic equations 10

CNTENTS Algebra Chapter Chapter Chapter Eponents and logarithms. Laws of eponents. Conversion between eponents and logarithms 6. Logarithm laws 8. Eponential and logarithmic equations 0 Sequences and series.

### Module 1: Whole Numbers Module 2: Fractions Module 3: Decimals and Percent Module 4: Real Numbers and Introduction to Algebra

Course Title: College Preparatory Mathematics I Prerequisite: Placement with a score below 20 on ACT, below 450 on SAT, or assessing into Basic Applied Mathematics or Basic Algebra using Accuplacer, ASSET

### CURRICULUM UNIT MAP 1 ST QUARTER. COURSE TITLE: Applied Algebra 1 GRADE: 9

1 ST QUARTER Unit 1: Exploring Rational Numbers WEEK 1-3 Objectives: Write equations and formulas to solve application problems Compare order and plot rational and irrational numbers, including square

### Subtraction Property of Equality terms. x-axis x-coordinate x-intercept y-axis y-coordinate y-intercept

Algebra I Chapter 1 Chapter 2 additive identity range absolute value algebraic expression reciprocal additive inverses Associative Property Reflexive Property of Equality back-to-back stem and leaf bar

### Algebra I Vocabulary Cards

Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression

### R1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member

Chapter R Review of basic concepts * R1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member Ex: Write the set of counting numbers

### PETERS TOWNSHIP HIGH SCHOOL

PETERS TOWNSHIP HIGH SCHOOL COURSE SYLLABUS: ALGEBRA 1 ACADEMIC Course Overview and Essential Skills This course is a study of the language, concepts, and techniques of Algebra that will prepare students

### 3 Polynomial and Rational Functions

3 Polnomial and Rational Functions 3.1 Quadratic Functions and Models 3.2 Polnomial Functions and Their Graphs 3.3 Dividing Polnomials 3.4 Real Zeros of Polnomials 3.5 Comple Zeros and the Fundamental

### Algebra I. Course Outline

Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative

### H.Algebra 2 Summer Review Packet

H.Algebra Summer Review Packet 1 Correlation of Algebra Summer Packet with Algebra 1 Objectives A. Simplifing Polnomial Epressions Objectives: The student will be able to: Use the commutative, associative,

### (2.5) 1. Solve the following compound inequality and graph the solution set.

Intermediate Algebra Practice Final Math 0 (7 th ed.) (Ch. -) (.5). Solve the following compound inequalit and graph the solution set. 0 and and > or or (.7). Solve the following absolute value inequalities.

### College Algebra with Corequisite Support: A Compressed Approach

College Algebra with Corequisite Support: A Compressed Approach 978-1-63545-059-0 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable)

### EOC Review. Algebra I

EOC Review Algebra I Order of Operations PEMDAS Parentheses, Eponents, Multiplication/Division, Add/Subtract from left to right. A. Simplif each epression using appropriate Order of Operations.. 5 6 +.

### Area Formulas. Linear

Math Vocabulary and Formulas Approximate Area Arithmetic Sequences Average Rate of Change Axis of Symmetry Base Behavior of the Graph Bell Curve Bi-annually(with Compound Interest) Binomials Boundary Lines

### College Algebra with Corequisite Support: A Blended Approach

College Algebra with Corequisite Support: A Blended Approach 978-1-63545-058-3 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable)

### Algebra II Notes Unit Six: Polynomials Syllabus Objectives: 6.2 The student will simplify polynomial expressions.

Algebra II Notes Unit Si: Polnomials Sllabus Objectives: 6. The student will simplif polnomial epressions. Review: Properties of Eponents (Allow students to come up with these on their own.) Let a and

### Chapter 11 Exponential and Logarithmic Function

Chapter Eponential and Logarithmic Function - Page 69.. Real Eponents. a m a n a mn. (a m ) n a mn. a b m a b m m, when b 0 Graphing Calculator Eploration Page 700 Check for Understanding. The quantities

### Algebra I Chapter 4 Curriculum and IXL

Chapter 4 Curriculum and IXL C4L1 Functions and Non-Functions Represent relations as mappings, sets of points, and graphs: WS Determine whether a relation is a function or not: WS C4L2 Linear and Non-Linear

### MIDTERM REVIEW. Write an algebraic expression to represent the following verbal expressions. 1) Double the difference of a number and 7.

NAME MIDTERM REVIEW DATE Write an algebraic epression to represent the following verbal epressions. 1) Double the difference of a number and 7. ) Find the value of the epression 0. Solve each equation.

### First Semester Final Review NON-Graphing Calculator

Algebra First Semester Final Review NON-Graphing Calculator Name:. 1. Find the slope of the line passing through the points ( 5, ) and ( 3, 7).. Find the slope-intercept equation of the line passing through

### Prealgebra and Elementary Algebra

Prealgebra and Elementary Algebra 978-1-63545-089-7 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa

### Elementary Algebra

Elementary Algebra 978-1-63545-068-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa Ana College MaryAnne

### Solutions to the Math 1051 Sample Final Exam (from Spring 2003) Page 1

Solutions to the Math 0 Sample Final Eam (from Spring 00) Page Part : Multiple Choice Questions. Here ou work out the problems and then select the answer that matches our answer. No partial credit is given

### Harbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities

Algebra II Advanced and Graphing and Solving Linear Linear Absolute Value Relation vs. Standard Forms of Linear Slope Parallel & Perpendicular Lines Scatterplot & Linear Regression Graphing linear Absolute

### Course Name: MAT 135 Spring 2017 Master Course Code: N/A. ALEKS Course: Intermediate Algebra Instructor: Master Templates

Course Name: MAT 135 Spring 2017 Master Course Code: N/A ALEKS Course: Intermediate Algebra Instructor: Master Templates Course Dates: Begin: 01/15/2017 End: 05/31/2017 Course Content: 279 Topics (207

### Algebra Final Exam Review Packet

Algebra 1 00 Final Eam Review Packet UNIT 1 EXPONENTS / RADICALS Eponents Degree of a monomial: Add the degrees of all the in the monomial together. o Eample - Find the degree of 5 7 yz Degree of a polynomial:

### a 2 x y 1 y SOL AII.1a

SOL AII.a The student, given rational, radical, or polnomial epressions, will a) add, subtract, multipl, divide, and simplif rational algebraic epressions; Hints and Notes Rules for fractions: ) Alwas

### Math Intermediate Algebra

Math 095 - Intermediate Algebra Final Eam Review Objective 1: Determine whether a relation is a function. Given a graphical, tabular, or algebraic representation for a function, evaluate the function and

### MATH 115: Final Exam Review. Can you find the distance between two points and the midpoint of a line segment? (1.1)

MATH : Final Eam Review Can ou find the distance between two points and the midpoint of a line segment? (.) () Consider the points A (,) and ( 6, ) B. (a) Find the distance between A and B. (b) Find the

### Algebra vocabulary CARD SETS Frame Clip Art by Pixels & Ice Cream

Algebra vocabulary CARD SETS 1-7 www.lisatilmon.blogspot.com Frame Clip Art by Pixels & Ice Cream Algebra vocabulary Game Materials: one deck of Who has cards Objective: to match Who has words with definitions

### Elementary and Intermediate Algebra

Elementary and Intermediate Algebra 978-1-63545-106-1 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa

### 2 nd Semester Final Exam Review Block Date

Algebra 1B Name nd Semester Final Eam Review Block Date Calculator NOT Allowed Graph each function. 1 (10-1) 1. (10-1). (10-1) 3. (10-1) 4. 3 Graph each function. Identif the verte, ais of smmetr, and

### Module 1: Equations and Inequalities (30 days) Solving Equations: (10 Days) (10 Days)

Module 1: Equations and Inequalities (30 days) Word Problems Literal Equations (Scientific Applications) Justifying solutions Algebraic Proofs Represent constraints by equations and inequalities Graphing

### OBJECTIVES UNIT 1. Lesson 1.0

OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint

### Chapter 8 Vocabulary Check

28 CHAPTER 8 Quadratic Equations and Functions d. What is the level of methane emissions for that ear? (Use our rounded answer from part (c).) (Round this answer to 2 decimals places.) Use a graphing calculator

### 4. exponential decay; 20% 9.1 Practice A found square root instead of cube root 16 =

9.. eponential deca; 0% 9. Practice A.. 7. 7.. 6. 9. 0 7.. 9. 0. found square root instead of cube root 6 = = = 9. = 7, 9. =,.. 7n 7n. 96. =, 97. =, 9. linear function: = + 0 99. quadratic function: =

### Review of Elementary Algebra Content

Review of Elementar Algebra Content 0 1 Table of Contents Fractions...1 Integers...5 Order of Operations...9 Eponents...11 Polnomials...18 Factoring... Solving Linear Equations...1 Solving Linear Inequalities...

### Algebra I Mathematics

Scope And Sequence Timeframe Unit Instructional Topics 6 Week(s) 12 Week(s) Relationships between Quantities Linear Relationships Course Overview GENERAL DESCRIPTION: This course is designed to provide