* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Document
Survey
Document related concepts
Infinitesimal wikipedia , lookup
Positional notation wikipedia , lookup
Location arithmetic wikipedia , lookup
History of the function concept wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Surreal number wikipedia , lookup
System of polynomial equations wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Law of large numbers wikipedia , lookup
Large numbers wikipedia , lookup
Transcript
Chapter 1 Chapter Review 1 Chapter Review Vocabulary Review Resources absolute value (p. 20) algebraic expression (p. 4) base (p. 9) coordinates (p. 24) coordinate plane (p. 24) counterexample (p. 18) dependent variable (p. 28) domain (p. 29) equation (p. 5) evaluate (p. 10) exponent (p. 9) function (p. 27) function rule (p. 27) independent variable (p. 28) inequality (p. 19) integers (p. 17) irrational numbers (p. 18) measures of central tendency (p. 40) mean (p. 40) median (p. 40) midpoint (p. 24) mode (p. 40) natural numbers (p. 17) negative correlation (p. 34) no correlation (p. 34) open sentence (p. 5) opposites (p. 20) ordered pair (p. 24) order of operations (p. 10) origin (p. 24) outlier (p. 40) positive correlation (p. 34) power (p. 9) quadrants (p. 24) range (p. 42) range of a function (p. 29) rational numbers (p. 17) real numbers (p. 18) scatter plot (p. 33) simplify (p. 9) stem-and-leaf plot (p. 42) trend line (p. 34) undefined correlation (p. 34) variable (p. 4) whole numbers (p. 17) x-axis (p. 24) x-coordinate (p. 24) y-axis (p. 24) y-coordinate (p. 24) Student Edition Extra Skills and Word Problems Practice, Ch. 1, p. 724 English/Spanish Glossary, p. 787 Properties and Formulas, p. 782 Table of Symbols, p. 779 Vocabulary and Study Skills worksheet 1F Spanish Vocabulary and Study Skills worksheet 1F Interactive Textbook Audio Glossary Online Vocabulary Quiz Choose the term that correctly completes each sentence. 1. The (median, mode) is the middle value in the set when the numbers are arranged in order. median 3. A mathematical phrase that uses numbers, variables, and operation symbols is an (algebraic expression, equation). algebraic expression 4. The number 2 58 belongs to the set of (irrational, rational) numbers. rational 5. The (absolute value, opposite) of a number is its distance from 0 on a number line. absolute value 6. You express the fraction of a pizza you have eaten by using a(n) (rational number, integer). rational number Spanish Vocabulary/Study Skills 7. In an ordered pair, the first number is the (x-coordinate, y-coordinate), which tells how far to move to the left or right of the origin as you graph the point represented by the ordered pair. x-coordinate 8. A (coordinate plane, scatter plot) is a graph that relates data from two different sets. scatter plot 9. When one set of data increases while another set of data decreases, there is a (positive correlation, negative correlation) between the two sets of data. negative correlation 10. Simplify a (power, exponent) by multiplying the base by itself the indicated number of times. power 11. The (quadrant, origin) is the point where the x- and y-axes intersect. origin 12. A (function, variable) is a relationship that assigns exactly one output value for each input value. function Chapter 1 Chapter Review 47 Vocabulary/Study Skills Name Class 1D: Vocabulary ELL L3 Date For use with Chapter Review Study Skill: Many words in English have more than one meaning. Often a word has one meaning in ordinary conversation, and a different specific meaning or exact definition when it is used in math or science or grammar. You can often figure out which meaning to use by looking at the sentence that contains the word. To help you decide what a word means, consider the surroundings, or context, in which you see the word. Read the mathematical definition in the left column and the sentence in the right column. In the blank in the middle, write the one word from the list below that fits both the definition and the sentence. The first one is done for you. base natural real like power term origin element Definition 1. kind of number in a set of rational and irrational numbers together constant open Sentence real It is a event. It actually happened. 2. a term that has no variable That noise is . It just never seems to stop. 3. a number that is multiplied repeatedly Put this statue on its so it will not fall over. 4. the kind of terms that have exactly the same variable factors I really that kind of food. It is my favorite. 5. the kind of math sentence that has one or more variables The door should be so the customers can come in. 6. the base and exponent of an expression of the form an Turn off the before you try to repair those wires. 7. the kind of number you might use to count rocks or pencils Let’s go for a walk by the lake. I want to enjoy the world. 8. the point where the axes of a coordinate plane intersect What is the of that custom? I wonder how it began. 9. a number, a variable, or the product of a number and one or more variables He will come home from college at the end of the . 10. the name of each item in a matrix 4 Reading and Math Literacy Masters © Pearson Education, Inc. All rights reserved. PHSchool.com For: Vocabulary quiz Web Code: atj-0151 2. (Evaluate, Simplify) an algebraic expression by substituting a given number for each variable. Evaluate One in water is oxygen. The other is hydrogen. Algebra 1 47 21. real numbers, rational numbers Skills and Concepts 22. real numbers, irrational numbers 1-1 and 1-2 Objectives 23. real numbers, rational numbers To model relationships with variables (p. 4) A variable represents one or more numbers. To evaluate a variable expression, you substitute a given number for each variable. Then you simplify the expression using the order of operations. Order of Operations To model relationships with equations and formulas (p. 5) 24. real numbers, rational numbers, natural numbers, whole numbers, integers 25. real numbers, rational numbers, natural numbers, whole numbers, integers 1. Perform any operation(s) inside grouping symbols. To simplify and evaluate expressions and formulas (p. 9) 2. Simplify powers. To evaluate expressions containing grouping symbols (p. 11) 4. Add and subtract in order from left to right. 3. Multiply and divide in order from left to right. Define a variable and write an expression for each phrase. 13. the sum of 5 and three times a number Let n ≠ the number; 5 ± 3n. 14. 30 minus a number Let n ≠ the number; 30 – n. 15. the quotient of 7 and a number Let n ≠ the number; n7 . 16. the product of a number and 12 Let n ≠ the number; n(12). Evaluate each expression. Use a ≠ 3, b ≠ 2, and c ≠ 1. 17. 2a 2 - (4b + c) 18. 9(a + 2b) + c 9 64 1-3 Objectives To classify numbers (p. 17) To compare numbers (p. 19) To write a function rule (p. 27) To recognize relationships in functions (p. 28) 2 20. 4a - b 8 Real numbers can be classified as either rational numbers or irrational numbers. A rational number, like 58 , is a ratio of two integers. An irrational number, like p or "2, cannot be written as a ratio of integers. Rational numbers include natural numbers (1, 2, 3, c), whole numbers (0, 1, 2, 3, c), and integers (c , -2, -1, 0, 1, 2, c). Name the set(s) of numbers to which each number belongs. 21–25. See margin. 21. -3.21 1-4 Objectives 19. 2a 1 b 4 2 22. "7 23. 2 12 24. 18 25. 35 5 A function is a relationship that assigns exactly one output value for each input value. A function rule is an equation that describes a functional relationship. In a functional relationship, the output value depends on the input value. The variable that describes the input is the independent variable. The variable that describes the output is the dependent variable. The possible values for the input, or independent variable, of a function are the domain of the function. The possible values of the output, or dependent variable, are the range of the function. Identify independent and dependent quantities for each situation and find reasonable domain and range values. 26. Tom has $8.00. He wants to buy oranges which cost $.75 a piece. money spent; number of oranges bought; $0 to $8.00; 0 to 10 oranges 27. Anna earns $6.50 per hour at her job. She can work up to 18 hours per week. hours worked; money earned; 0 to 18 hours; $0 to $117 48 48 Chapter 1 Chapter Review Alternative Assessment Name The relationships in the tables below are functions. Write a function rule for each table. Class Date Alternative Assessment L4 Form C Chapter 1 TASK 1 x y 1 7 29. To analyze data using scatter plots (p. 33) y 1 6 x y 1 20 2 14 2 9 2 16 3 21 3 12 3 12 4 28 4 15 4 8 In each sentence below, circle the key words or phrases that indicate a mathematical operation and write the symbol for the operation above the words or phrases. Write an equation for each sentence. a. A number multiplied by 8 and divided by four gives 7 more than the number. b. Five times a number decreased by eight is equal to thirty-two. c. The sum of the square of a number and a second number is forty-two. d. One-third of a number added to itself equals three times the difference of the number and seven. TASK 2 Two students write the following expressions to answer an exercise: y = 24 - 4x y = 3x + 3 y = 7x 1-5 Objective x 30. © Pearson Education, Inc. All rights reserved. 28. 7 + 4(5 - 3) 2 + 9 3 and 9 + (5 - 3) 2 ? 4 + 7. 3 a. Simplify the two expressions. List each step you use. b. Explain the similarities in the steps. c. Make up another expression that uses the same numbers and operations but has a different answer. Then simplify the expression, listing each step. A scatter plot is a graph that relates two sets of data. There are four kinds of relationships that the data may have. positive correlation: In general, both sets of data increase together. negative correlation: In general, one set of data decreases as the other set increases. no correlation: The data sets are not related. undefined correlation: In general, one set of data remains unchanged. Algebra 1 Chapter 1 37 Form C Test 31. a. Make a scatter plot of the data below. See margin. Height (meters) 1.5 1.8 1.7 2.0 1.7 2.1 1.6 1.9 1.9 Arm Span (meters) 1.4 1.7 1.7 1.9 1.6 2.0 1.6 1.8 1.9 b. Is there a positive correlation, a negative correlation, or no correlation between the sets of data? positive correlation 1-6 Objectives To use mean, median, and mode (p. 40) To make and use stemand-leaf plots (p. 42) Mean, median, and mode are three measures of central tendency. The range of a data set is the difference between the greatest and least items. A stem-and-leaf plot is a display that organizes the data by showing each item in order. Find the mean, median, and mode for each set of data. 33. 85, 87, 81, 92, 87, 80, 83 85, 85, 87 33. 24, 45, 33, 27, 24 30.6, 27, 24 34. 2.4, 2.3, 2.1, 2.5, 2.3, 2.2 2.3, 2.3, 2.3 35. 42, 18, 55, 37, 57, 37, 48, 47, 37 42, 42, 37 The stem-and-leaf plot at the right shows kilometers walked during a benefit walk. Benefit Walk Use it for Exercises 36–38. 36. Find the mean, median, mode, and range. 37. How many people walked more than 19 km? 6 38. How many people walked less than 17.1 km? 7 Arm Span (meters) 36. 18, 18.4, 19.9, 3.8 31a. y (km) 16 1 1 2 3 5 5 17 0 2 2 18 4 5 8 9 19 3 6 7 9 9 9 19 3 means 19.3 2.0 1.6 O Chapter 1 Chapter Review 49 1.7 2.1 x Height (meters) 49