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The document is a review agenda for an upcoming test. It includes a warm up problem about coins in a jar and the solution. The rest of the agenda reviews solving equations, graphing lines, and other math concepts. Key is a review of equation solving examples and graphing linear equations. The document reviews 17 total items to prepare for the upcoming test.
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Review key
The document contains an agenda for a test review session which includes warming up, checking homework, and reviewing problems from the chapters. The review section lists out math problems from different chapters with their numbers and questions. It also includes the answer key for the homework review problems.
Ch 3 review key
The document is an answer key review containing solutions to math problems such as finding points that satisfy equations, plotting points on a graph to determine correlation, and solving systems of equations. It provides the step-by-step work and solutions to 17 different math problems or exercises. The solutions include identifying solutions sets, plotting points, determining equations of lines, and finding specific values that satisfy given equations.
Check andres cipacon
This document contains a crossword puzzle with verbs in their simple past or past participle forms. Across clues provide simple past forms of "bring", "stick", "sing", "eat", "feed", "shake", "sell", "read", "leave", "meet", and "drink". Down clues provide simple past or past participle forms of "hurt", "choose", "been", "taken", "understood", "sat", "gone", "heard", "swum", "written", "gone", "drawn", "paid", "won", "stood", and "made". The puzzle must be completed by filling in the correct verb forms across and down.
Presentación1
This document contains a crossword puzzle with verbs in their simple past or past participle forms. Across clues provide simple past forms of "bring", "stick", "sing", "eat", "feed", "shake", "sell", "read", "leave", "meet", and "drink". Down clues provide simple past or past participle forms of "hurt", "choose", "been", "taken", "understood", "sat", "gone", "heard", "swum", "written", "gone", "drawn", "paid", "won", "stood", and "made". The puzzle must be completed by filling in the correct verb forms across and down.
7th math c2 -l23--oct16
1) The document outlines assignments and lessons for a math class. It includes a warmup with 5 fraction and word problems, and lessons on simplifying fractions with subtraction and percentages.
2) An upcoming test is scheduled for Friday and an assignment with even problems is due the next day.
3) Examples are provided for simplifying fractions that require regrouping during subtraction, as well as subtraction problems involving percentages.
To know test 17
This document contains a list of mathematical and statistical concepts to study for an upcoming test, including graphing systems of inequalities, standard deviation, properties of parabolas, trigonometric functions, linear variation, elimination methods for solving systems of equations, properties of logarithmic graphs, the relationship between voltage, resistance and current, calculating variance and standard deviation with and without a calculator, finding the area of triangles, average rate of change, properties of antilogarithms, polar and rectangular coordinate systems, and properties of circles.
Lesson 72
This document discusses using the Law of Sines to solve triangles when one side and two other parts are known. It provides three example triangles, labeling one side and two angles for each, and asks the reader to solve for the unknown parts. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is equal to the ratios for the other two sides. This allows one to determine missing side lengths or angles when one side and two other parts are known.
Lesson 71
An ellipse is defined as the set of all points such that the sum of the distances from the point to two fixed foci points is a constant. The major axis is the longest side of the ellipse, and the two fixed points are called the foci. The standard form of the ellipse equation is (x/a)^2 + (y/b)^2 = 1, where a is half the length of the major axis and b is half the length of the minor axis.
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Review key
The document contains an agenda for a test review session which includes warming up, checking homework, and reviewing problems from the chapters. The review section lists out math problems from different chapters with their numbers and questions. It also includes the answer key for the homework review problems.
Ch 3 review key
The document is an answer key review containing solutions to math problems such as finding points that satisfy equations, plotting points on a graph to determine correlation, and solving systems of equations. It provides the step-by-step work and solutions to 17 different math problems or exercises. The solutions include identifying solutions sets, plotting points, determining equations of lines, and finding specific values that satisfy given equations.
Check andres cipacon
This document contains a crossword puzzle with verbs in their simple past or past participle forms. Across clues provide simple past forms of "bring", "stick", "sing", "eat", "feed", "shake", "sell", "read", "leave", "meet", and "drink". Down clues provide simple past or past participle forms of "hurt", "choose", "been", "taken", "understood", "sat", "gone", "heard", "swum", "written", "gone", "drawn", "paid", "won", "stood", and "made". The puzzle must be completed by filling in the correct verb forms across and down.
Presentación1
This document contains a crossword puzzle with verbs in their simple past or past participle forms. Across clues provide simple past forms of "bring", "stick", "sing", "eat", "feed", "shake", "sell", "read", "leave", "meet", and "drink". Down clues provide simple past or past participle forms of "hurt", "choose", "been", "taken", "understood", "sat", "gone", "heard", "swum", "written", "gone", "drawn", "paid", "won", "stood", and "made". The puzzle must be completed by filling in the correct verb forms across and down.
7th math c2 -l23--oct16
1) The document outlines assignments and lessons for a math class. It includes a warmup with 5 fraction and word problems, and lessons on simplifying fractions with subtraction and percentages.
2) An upcoming test is scheduled for Friday and an assignment with even problems is due the next day.
3) Examples are provided for simplifying fractions that require regrouping during subtraction, as well as subtraction problems involving percentages.
To know test 17
This document contains a list of mathematical and statistical concepts to study for an upcoming test, including graphing systems of inequalities, standard deviation, properties of parabolas, trigonometric functions, linear variation, elimination methods for solving systems of equations, properties of logarithmic graphs, the relationship between voltage, resistance and current, calculating variance and standard deviation with and without a calculator, finding the area of triangles, average rate of change, properties of antilogarithms, polar and rectangular coordinate systems, and properties of circles.
Lesson 72
This document discusses using the Law of Sines to solve triangles when one side and two other parts are known. It provides three example triangles, labeling one side and two angles for each, and asks the reader to solve for the unknown parts. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is equal to the ratios for the other two sides. This allows one to determine missing side lengths or angles when one side and two other parts are known.
Lesson 71
An ellipse is defined as the set of all points such that the sum of the distances from the point to two fixed foci points is a constant. The major axis is the longest side of the ellipse, and the two fixed points are called the foci. The standard form of the ellipse equation is (x/a)^2 + (y/b)^2 = 1, where a is half the length of the major axis and b is half the length of the minor axis.
Lesson 70
The document discusses using percentiles and z-scores to compare test scores from one year to the next. It provides information on calculating z-scores as a way to determine percentiles and compare a student's score to the mean and standard deviation from the previous year. It then asks three questions about determining percentiles based on the mean and standard deviation of baby weights at a hospital over seven years.
Lesson 69
The document defines a matrix as a rectangular array of numbers, with elements being the individual numbers. For matrices to be equal, they must be the same size and have matching corresponding elements. A square matrix is one where the number of rows equals the number of columns. Any square matrix will have a determinant value that can be calculated. The document then provides examples of evaluating the determinants of different sized matrices and solving for unknown values within matrices.
To Know Test 16
This document contains a list of mathematical concepts and problems including finding the area of geometric shapes like trapezoids, using formulas like the volume formula, plotting data, graphing functions like sinusoidal functions, working with complex numbers, logarithms, rates of change, systems of inequalities, statistics like mean, variance and standard deviation, derivatives, completing the square, areas of segments of circles, and evaluating and graphing trigonometric functions.
Lesson 68
This document defines and discusses parabolas using the locus definition. It states that a parabola is the locus of all points that are equidistant from a fixed point (the focus) and a fixed line (the directrix). The document provides examples of finding the equation of a parabola given the focus and directrix, as well as shifting the vertex. It also discusses applications of parabolic reflectors and how to place a receiver at the focus of a rotating parabolic antenna based on the given equation.
12.1 day 2
The first triangle has angles of 60 and 30 degrees with opposite sides of 4 and x, finding x to be 8 using trigonometric functions. The second triangle has angles of 25 and 63 degrees with opposite sides of 10 and x, finding x to be 6 using trigonometric functions. The third problem asks how far (x) a plane is from its landing spot, given the angle is 15 degrees and the opposite side is 800 feet, finding x to be 800/tan(15) = 1200 feet using trigonometric functions.
12.1 sin cos tan
This document discusses trigonometric functions like sine, cosine, and tangent. It defines the trig functions using ratios of sides of a right triangle. It then provides examples of evaluating the six trig functions for various angles in different right triangles, as well as examples of using trig functions to solve for unknown side lengths of right triangles.
Lesson 67
The document discusses antilogarithms and how they are the inverse operation of logarithms. It states that the antilogarithm of a number is equal to the exponent when that number is the logarithm of the base. It then provides examples of finding the antilogarithm of 4.63 for different bases, including bases 2, 10, and the mathematical constant e, which is approximately equal to 2.71828.
Lesson 66
This document discusses formulas for solving systems of equations, calculating phase shifts in sinusoidal functions, and accounting for changes in period. It provides the general formulas for solving a system of two equations with two unknowns. It also explains that if the period of a sinusoid is not 2π or 360°, the coefficient must be calculated by dividing 360° or 2π by the actual period. Finally, it notes that if given a sinusoid with an amplitude, center, coefficient, phase angle, and period, both the sine and cosine equations can be written.
Lesson 65
This document provides 3 problems involving radicals in trigonometric equations, graphs of logarithms. The first two problems ask the reader to solve trigonometric equations containing radicals given certain conditions. The third problem asks the reader to sketch the graph of the logarithmic function y = log3.5 x.
11.6 geometric sequences
This document discusses geometric sequences and provides examples of calculating terms of geometric sequences given initial terms and common ratios. It also covers finding geometric means between two terms by taking the square root of the product of the terms. Examples include finding the 6th term of the sequence 3, -12, 48, -192, finding the 7th term of a sequence where the 2nd term is 24 and 5th term is 3, and finding geometric means between 4 and 9 by taking the square root of their product.
To know test 15
This document contains a list of mathematical concepts and problems including equations of circles, logarithms, trigonometric functions, permutations, systems of inequalities, areas, factoring complex numbers, and properties of circles, lines, and graphs. It appears to be a study guide or checklist for reviewing multiple topics in precalculus or calculus.
Lesson 63
This document contains 3 problems involving completing the square to write equations of circles in standard form and graphing the circles. Problem 1 has the equation x^2 + y^2 - 6x + 8y + 21 = 0 and asks to complete the square and graph the circle. Problem 2 gives the equation x^2 + y^2 + 4x - 6y + 6 = 0 and asks to do the same. Problem 3 gives the equation 2x^2 + 2y^2 - x + y - 3 = 0 and asks to complete the square and describe the resulting circle.
11.5 arithmetic sequences
The document discusses arithmetic sequences and how to find specific terms (tn) using the common difference (d) between terms. It explains that the general formula for an arithmetic sequence is tn = a1 + (n-1)d, where a1 is the first term and d is the common difference. It then provides examples of using this formula to find the nth term for given arithmetic sequences and finds the arithmetic mean between two numbers.
11.3 sequences
The document contains instructions for finding terms of different sequences. It defines a sequence where the first term is 4 and each subsequent term is half of the previous term. It also defines a Fibonacci sequence where the first two terms are 1 and each term is the sum of the previous two terms. It asks the reader to find the first five terms of these sequences.
Lesson 62
This document discusses solving linear equations for variables x and y. It also presents a real world example where the total cost of producing a product varied linearly with the number produced. When 100 were produced the cost was $700, and when 400 were produced the cost was $2200. An equation is given to model this linear relationship between cost (C) and number produced (N) as C = mN + b.
Lesson 61
This document discusses analyzing data through measures like the mean, standard deviation, and box and whisker plots. It provides examples of calculating the mean and standard deviation for different data sets. It also discusses how the standard deviation indicates how data points are distributed around the mean. Finally, it includes an example of using a graphing calculator to analyze a data set and draw a box and whisker plot.
11.2 multiplying matrices
The document discusses matrix multiplication. It explains that two matrices can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix. It provides an example of multiplying two matrices by multiplying the elements in each row of the first matrix with each column of the second matrix and adding the products. It then provides examples of multiplying specific matrices and determining if the products are defined based on the dimensions of the matrices.
11.1 Matrix Operations
This document discusses matrices and matrix operations. It defines a matrix as a rectangular arrangement of numbers, with elements as the individual numbers. A matrix has m rows and n columns, written as m x n. Two matrices are equal if they have the same dimensions and corresponding elements are equal. Matrices can only be added or subtracted if they have the same dimensions. To multiply a matrix by a scalar, each element is multiplied by the scalar. The document also provides an example of matrices representing sales data for small and large steel DVD racks in different wood types last month and this month. It asks to find the average monthly sales for the two month period using the matrices. Finally, it gives a matrix equation to solve for x.
To know test 14
This document contains a list of mathematical concepts to study for Test 14 including radius times radians, the sinusoid equation, logs, the rate-time formula, the velocity formula, abstract cost functions, geometric transformations, calculating areas using sine, finding areas of circle segments, factoring with complex numbers, solving trigonometric functions, writing the equation of a line in different forms, permutations, arrangements, completing the square to graph quadratic functions, and the relationship between rate, work, and time.
Lesson 60
This document discusses solving trigonometric equations by factoring and the potential loss of solutions when dividing by terms like sine or cosine. It provides 3 examples of trig equations to solve: tangent squared minus 1 equals 0, sine squared minus sine equals 0, and cosine squared equals 1. All are to be solved between 0 and 360 degrees. It also notes that when solving one equation, sine x cosine x equals sine x, solutions could be lost if dividing by sine x due to it being zero at some points.
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Lesson 70
The document discusses using percentiles and z-scores to compare test scores from one year to the next. It provides information on calculating z-scores as a way to determine percentiles and compare a student's score to the mean and standard deviation from the previous year. It then asks three questions about determining percentiles based on the mean and standard deviation of baby weights at a hospital over seven years.
Lesson 69
The document defines a matrix as a rectangular array of numbers, with elements being the individual numbers. For matrices to be equal, they must be the same size and have matching corresponding elements. A square matrix is one where the number of rows equals the number of columns. Any square matrix will have a determinant value that can be calculated. The document then provides examples of evaluating the determinants of different sized matrices and solving for unknown values within matrices.
To Know Test 16
This document contains a list of mathematical concepts and problems including finding the area of geometric shapes like trapezoids, using formulas like the volume formula, plotting data, graphing functions like sinusoidal functions, working with complex numbers, logarithms, rates of change, systems of inequalities, statistics like mean, variance and standard deviation, derivatives, completing the square, areas of segments of circles, and evaluating and graphing trigonometric functions.
Lesson 68
This document defines and discusses parabolas using the locus definition. It states that a parabola is the locus of all points that are equidistant from a fixed point (the focus) and a fixed line (the directrix). The document provides examples of finding the equation of a parabola given the focus and directrix, as well as shifting the vertex. It also discusses applications of parabolic reflectors and how to place a receiver at the focus of a rotating parabolic antenna based on the given equation.
12.1 day 2
The first triangle has angles of 60 and 30 degrees with opposite sides of 4 and x, finding x to be 8 using trigonometric functions. The second triangle has angles of 25 and 63 degrees with opposite sides of 10 and x, finding x to be 6 using trigonometric functions. The third problem asks how far (x) a plane is from its landing spot, given the angle is 15 degrees and the opposite side is 800 feet, finding x to be 800/tan(15) = 1200 feet using trigonometric functions.
12.1 sin cos tan
This document discusses trigonometric functions like sine, cosine, and tangent. It defines the trig functions using ratios of sides of a right triangle. It then provides examples of evaluating the six trig functions for various angles in different right triangles, as well as examples of using trig functions to solve for unknown side lengths of right triangles.
Lesson 67
The document discusses antilogarithms and how they are the inverse operation of logarithms. It states that the antilogarithm of a number is equal to the exponent when that number is the logarithm of the base. It then provides examples of finding the antilogarithm of 4.63 for different bases, including bases 2, 10, and the mathematical constant e, which is approximately equal to 2.71828.
Lesson 66
This document discusses formulas for solving systems of equations, calculating phase shifts in sinusoidal functions, and accounting for changes in period. It provides the general formulas for solving a system of two equations with two unknowns. It also explains that if the period of a sinusoid is not 2π or 360°, the coefficient must be calculated by dividing 360° or 2π by the actual period. Finally, it notes that if given a sinusoid with an amplitude, center, coefficient, phase angle, and period, both the sine and cosine equations can be written.
Lesson 65
This document provides 3 problems involving radicals in trigonometric equations, graphs of logarithms. The first two problems ask the reader to solve trigonometric equations containing radicals given certain conditions. The third problem asks the reader to sketch the graph of the logarithmic function y = log3.5 x.
11.6 geometric sequences
This document discusses geometric sequences and provides examples of calculating terms of geometric sequences given initial terms and common ratios. It also covers finding geometric means between two terms by taking the square root of the product of the terms. Examples include finding the 6th term of the sequence 3, -12, 48, -192, finding the 7th term of a sequence where the 2nd term is 24 and 5th term is 3, and finding geometric means between 4 and 9 by taking the square root of their product.
To know test 15
This document contains a list of mathematical concepts and problems including equations of circles, logarithms, trigonometric functions, permutations, systems of inequalities, areas, factoring complex numbers, and properties of circles, lines, and graphs. It appears to be a study guide or checklist for reviewing multiple topics in precalculus or calculus.
Lesson 63
This document contains 3 problems involving completing the square to write equations of circles in standard form and graphing the circles. Problem 1 has the equation x^2 + y^2 - 6x + 8y + 21 = 0 and asks to complete the square and graph the circle. Problem 2 gives the equation x^2 + y^2 + 4x - 6y + 6 = 0 and asks to do the same. Problem 3 gives the equation 2x^2 + 2y^2 - x + y - 3 = 0 and asks to complete the square and describe the resulting circle.
11.5 arithmetic sequences
The document discusses arithmetic sequences and how to find specific terms (tn) using the common difference (d) between terms. It explains that the general formula for an arithmetic sequence is tn = a1 + (n-1)d, where a1 is the first term and d is the common difference. It then provides examples of using this formula to find the nth term for given arithmetic sequences and finds the arithmetic mean between two numbers.
11.3 sequences
The document contains instructions for finding terms of different sequences. It defines a sequence where the first term is 4 and each subsequent term is half of the previous term. It also defines a Fibonacci sequence where the first two terms are 1 and each term is the sum of the previous two terms. It asks the reader to find the first five terms of these sequences.
Lesson 62
This document discusses solving linear equations for variables x and y. It also presents a real world example where the total cost of producing a product varied linearly with the number produced. When 100 were produced the cost was $700, and when 400 were produced the cost was $2200. An equation is given to model this linear relationship between cost (C) and number produced (N) as C = mN + b.
Lesson 61
This document discusses analyzing data through measures like the mean, standard deviation, and box and whisker plots. It provides examples of calculating the mean and standard deviation for different data sets. It also discusses how the standard deviation indicates how data points are distributed around the mean. Finally, it includes an example of using a graphing calculator to analyze a data set and draw a box and whisker plot.
11.2 multiplying matrices
The document discusses matrix multiplication. It explains that two matrices can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix. It provides an example of multiplying two matrices by multiplying the elements in each row of the first matrix with each column of the second matrix and adding the products. It then provides examples of multiplying specific matrices and determining if the products are defined based on the dimensions of the matrices.
11.1 Matrix Operations
This document discusses matrices and matrix operations. It defines a matrix as a rectangular arrangement of numbers, with elements as the individual numbers. A matrix has m rows and n columns, written as m x n. Two matrices are equal if they have the same dimensions and corresponding elements are equal. Matrices can only be added or subtracted if they have the same dimensions. To multiply a matrix by a scalar, each element is multiplied by the scalar. The document also provides an example of matrices representing sales data for small and large steel DVD racks in different wood types last month and this month. It asks to find the average monthly sales for the two month period using the matrices. Finally, it gives a matrix equation to solve for x.
To know test 14
This document contains a list of mathematical concepts to study for Test 14 including radius times radians, the sinusoid equation, logs, the rate-time formula, the velocity formula, abstract cost functions, geometric transformations, calculating areas using sine, finding areas of circle segments, factoring with complex numbers, solving trigonometric functions, writing the equation of a line in different forms, permutations, arrangements, completing the square to graph quadratic functions, and the relationship between rate, work, and time.
Lesson 60
This document discusses solving trigonometric equations by factoring and the potential loss of solutions when dividing by terms like sine or cosine. It provides 3 examples of trig equations to solve: tangent squared minus 1 equals 0, sine squared minus sine equals 0, and cosine squared equals 1. All are to be solved between 0 and 360 degrees. It also notes that when solving one equation, sine x cosine x equals sine x, solutions could be lost if dividing by sine x due to it being zero at some points.
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Review key
- 1. review day.notebook September 17, 2012 Objective: Review for test Agenda 1. Warm up 2. Check homework 3. Review Warm Up A jar contains 40 coins consisting of dimes and quarters and having a total value of $4.90. How many are there of each coin? 1
- 2. review day.notebook September 17, 2012 Ans Key Review 1. 0 = 6 or 0 = 6 parallel; no solution 2. 0 = 0 coinciding; inf. many solutions 3. (.6, 2.2) or (3/5, 11/5) 4. (1, 4) 10. y = 1x + 13 2 2 5. (3, 7) 11. y = 2x + 7 6. (8, 2) 12. plot points negative correlation 7. $8 per guest 13. y = 3x + 1 2 $100 fixed cost 14. 10x y = 14 8. 575 students 15. y = x 2 9. y = 8x 62 16. 16 17. (0, 2/3) (2, 0) 2