- •Study Skills Workshop
- •1.1 An Introduction to the Whole Numbers
- •1.2 Adding Whole Numbers
- •1.3 Subtracting Whole Numbers
- •1.4 Multiplying Whole Numbers
- •1.5 Dividing Whole Numbers
- •1.6 Problem Solving
- •1.7 Prime Factors and Exponents
- •1.8 The Least Common Multiple and the Greatest Common Factor
- •1.9 Order of Operations
- •THINK IT THROUGH Education Pays
- •2.1 An Introduction to the Integers
- •THINK IT THROUGH Credit Card Debt
- •2.2 Adding Integers
- •THINK IT THROUGH Cash Flow
- •2.3 Subtracting Integers
- •2.4 Multiplying Integers
- •2.5 Dividing Integers
- •2.6 Order of Operations and Estimation
- •Cumulative Review
- •3.1 An Introduction to Fractions
- •3.2 Multiplying Fractions
- •3.3 Dividing Fractions
- •3.4 Adding and Subtracting Fractions
- •THINK IT THROUGH Budgets
- •3.5 Multiplying and Dividing Mixed Numbers
- •3.6 Adding and Subtracting Mixed Numbers
- •THINK IT THROUGH
- •3.7 Order of Operations and Complex Fractions
- •Cumulative Review
- •4.1 An Introduction to Decimals
- •4.2 Adding and Subtracting Decimals
- •4.3 Multiplying Decimals
- •THINK IT THROUGH Overtime
- •4.4 Dividing Decimals
- •THINK IT THROUGH GPA
- •4.5 Fractions and Decimals
- •4.6 Square Roots
- •Cumulative Review
- •5.1 Ratios
- •5.2 Proportions
- •5.3 American Units of Measurement
- •5.4 Metric Units of Measurement
- •5.5 Converting between American and Metric Units
- •Cumulative Review
- •6.2 Solving Percent Problems Using Percent Equations and Proportions
- •6.3 Applications of Percent
- •6.4 Estimation with Percent
- •6.5 Interest
- •Cumulative Review
- •7.1 Reading Graphs and Tables
- •THINK IT THROUGH The Value of an Education
- •Cumulative Review
- •8.1 The Language of Algebra
- •8.2 Simplifying Algebraic Expressions
- •8.3 Solving Equations Using Properties of Equality
- •8.4 More about Solving Equations
- •8.5 Using Equations to Solve Application Problems
- •8.6 Multiplication Rules for Exponents
- •Cumulative Review
- •9.1 Basic Geometric Figures; Angles
- •9.2 Parallel and Perpendicular Lines
- •9.3 Triangles
- •9.4 The Pythagorean Theorem
- •9.5 Congruent Triangles and Similar Triangles
- •9.6 Quadrilaterals and Other Polygons
- •9.7 Perimeters and Areas of Polygons
- •THINK IT THROUGH Dorm Rooms
- •9.8 Circles
- •9.9 Volume
- •Cumulative Review
410
C H A P T E R S 1 – 4 CUMULATIVE REVIEW
1.Write 154,302
a.in words
b.in expanded form [Section 1.1]
2.Use 3, 4, and 5 to express the associative property of addition. [Section 1.2]
3.Add: 9,339 471 6,883 [Section 1.2]
4.Subtract 199 from 301. [Section 1.3]
5.SUDOKU The world’s largest Sudoku puzzle was carved into
ahillside near Bristol,
England. It measured 275 ft by 275 ft. Find the area covered by
the square-shaped puzzle. (Source: joe-ks.com) [Section 1.4]
6.Divide: 43 1,203 [Section 1.5]
7.THE EXECUTIVE BRANCH The annual salary for the President of the United States is $400,000 and the Vice President is paid $221,100 a year. How much more money does the President make than the Vice President during a four-year term? [Section 1.6]
8.List the factors of 20, from smallest to largest.
[Section 1.7]
9.Find the prime factorization of 220. [Section 1.7]
10.Find the LCM and the GCF of 100 and 120.
[Section 1.8]
11.Find the mean (average) of 7, 1, 8, 2, and 2.
[Section 1.9]
12.Place an or an symbol in the box to make a true statement: 0 50 0 ( 40) [Section 2.1]
13.Add: 8 ( 5) [Section 2.2]
14.Fill in the blank: Subtraction is the same as the opposite. [Section 2.3]
Tim Anderson Photography Ltd/Sky 1
17.Evaluate: ( 1)5 [Section 2.4]
18.SUBMARINES As part of a training exercise, the captain of a submarine ordered it to descend 350 feet, level off for 10 minutes, and then repeat the process several times. If the sub was on the ocean’s surface at the beginning of the exercise, find its depth after the 6th dive. [Section 2.4]
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19. Consider the division statement 5 3. What is its related multiplication statement? [Section 2.5]
20.Divide: 420,000 ( 7,000) [Section 2.5]
21.Complete the solution to evaluate the expression.
[Section 2.6]
( 6)2 2(5 4 2) ( 6)2 2(5 )
( 6)2 2()
2( 3)
36 ()
36
42
22.Evaluate: 0 7(5) 0 [Section 2.6]
23.Estimate the value of 3,887 ( 5,806) 4,701 by rounding each number to the nearest hundred.
[Section 2.6]
24.FLAGS What fraction of
the stripes on a U.S. flag are white? [Section 3.1]
25. Although the fractions listed below look
different, they all
represent the same value. What concept does this illustrate? [Section 3.1]
12 24 36 48 105 126
26. Simplify: 12690 [Section 3.1]
Perform the operations. Simplify the result.
15.WEATHER Marsha flew from her Minneapolis home to Hawaii for a week of vacation. She left blizzard conditions and a temperature of 11°F, and stepped off the airplane into 72°F weather. What temperature change did she experience? [Section 2.3]
16.Multiply: 3( 5)(2)( 9) [Section 2.4]
3 7
27.8 16 [Section 3.2]
15
28. 8 10 [Section 3.3]
1 5
29.9 6 [Section 3.4]
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32.[Section 3.7]
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33.What is 14 of 167 ? [Section 3.2]
34.TAPE MEASURES Use the information shown in the illustration below to determine the inside length of the drawer. [Section 3.6]
OLYMPIA
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36.GLASS Some electronic and medical equipment uses glass that is only 0.00098 inch thick. Round this number to the nearest thousandth. [Section 4.1]
37.Place an or symbol in the box to make a true
statement. [Section 4.1] |
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356.1978 |
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38. Graph 3 |
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line. [Section 4.1]
−5 − 4 −3 −2 −1 0 1 2 3 4 5
Perform the operations.
39. 56.228 5.6 39 29.37 [Section 4.2]
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7.001 5.9 |
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56.012(0.001) [Section 4.3] |
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0.897 |
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10,000 |
Chapter 4 Cumulative Review Exercises |
411 |
45.WEEKLY SCHEDULES Use the information in the illustration below to determine the number of hours during a week that the typical adult spends watching television. [Section 4.2]
Hours in a week: 168
How people spend those hours, on average:
Sleep: 48.3 Work: 34.5 TV: ?
Meals: Other:
21.0 27.5
Internet at home:
3.1
Source: National Sleep Foundation and the U.S. Bureau of Statistics
46.KITES Find the area of the front of the kite shown below. [Section 4.3]
7.5in.
21 in.
47. |
Evaluate the formula C 95 (F 32) for F 451. |
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Round to the nearest tenth. [Section 4.4] |
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48. |
Write the fraction |
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52. |
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54. |
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This page intentionally left blank
Ratio, Proportion,
and Measurement
from Campus to Careers
Chef
Chefs prepare and cook a wide range of foods—from soups, to main dishes, side dishes, and desserts. They work in a variety restaurants and food service kitchens. They measure, mix,
and cook ingredients according to recipes, using a variety of equipment and tools. They are also responsible for directing the tasks of other kitchen workers, estimating food requirements, and ordering food supplies.
In Problem 90 of Study Set 5.2, you will see how a chef can use proportions to determine the correct amounts of each ingredient needed to make a large batch of brownies.
5
5.1Ratios
5.2Proportions
5.3American Units of Measurement
5.4Metric Units
of Measurement
5.5Converting between American and Metric Units
Chapter Summary and Review
Chapter Test Cumulative Review
Nick White/Getty Images
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