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CHAPTER 4 REVIEW!

Rational Numbers

QUESTION: 1 π‘Šπ‘Ÿπ‘–π‘‘π‘’ π‘’π‘Žπ‘β„Ž π‘“π‘Ÿπ‘Žπ‘π‘‘π‘–π‘œπ‘› π‘Žπ‘  π‘Ž π‘‘π‘’π‘π‘–π‘šπ‘Žπ‘™. π‘ˆπ‘ π‘’ π‘π‘Žπ‘Ÿ π‘›π‘œπ‘‘π‘Žπ‘‘π‘–π‘œπ‘› 𝑖𝑓 π‘‘β„Žπ‘’ π‘‘π‘’π‘π‘–π‘šπ‘Žπ‘™ 𝑖𝑠 π‘Ÿπ‘’π‘π‘’π‘Žπ‘‘π‘–π‘›π‘”.

βˆ’7 3 5

βˆ’7.6

ANSWER: 1

QUESTION: 2 W β„Žπ‘Žπ‘‘ 𝑖𝑠 2 4 9 π‘Žπ‘  π‘Ž π‘‘π‘’π‘π‘–π‘šπ‘Žπ‘™?

ANSWER: 2

QUESTION: LESSON 1 β€’ Thirty-six 7 th graders were asked to choose their favorite color. The table shows the fraction of students that chose each color. What decimal shows the difference between the most and least popular colors?

Color Fractions

Red 5/18 Yellow 1/6 Blue 4/9 Green 1/9

ANSWER: LESSON 1 5 𝑅𝑒𝑑: 18 , π‘Œπ‘’π‘™π‘™π‘œπ‘€: 1 6 = 3 18 , 𝐡𝑙𝑒𝑒: 4 9 = 8 18 , πΊπ‘Ÿπ‘’π‘’π‘›: 1 9 = 2 18 Blue – Green: 8 18 2 βˆ’ 18 = 6 18 = 1 3 =

0. 3

QUESTION: 3 π‘Šπ‘Ÿπ‘–π‘‘π‘’ π‘’π‘Žπ‘β„Ž π‘‘π‘’π‘π‘–π‘šπ‘Žπ‘™ π‘Žπ‘  π‘Ž π‘“π‘Ÿπ‘Žπ‘π‘‘π‘–π‘œπ‘› π‘œπ‘Ÿ π‘šπ‘–π‘₯𝑒𝑑 π‘›π‘’π‘šπ‘π‘’π‘Ÿ 𝑖𝑛 π‘ π‘–π‘šπ‘π‘™π‘’π‘ π‘‘ π‘“π‘œπ‘Ÿπ‘š.

68.25

25 68 100 =

πŸ”πŸ– 𝟏 πŸ’

ANSWER: 3

QUESTION: 4 π‘Šβ„Žπ‘Žπ‘‘ 𝑖𝑠 0.125 π‘Žπ‘  π‘Ž π‘“π‘Ÿπ‘Žπ‘π‘‘π‘–π‘œπ‘› 𝑖𝑛 π‘ π‘–π‘šπ‘π‘™π‘’π‘ π‘‘ π‘“π‘œπ‘Ÿπ‘š?

ANSWER: 4

QUESTION: LESSON 1 β€’ Destiny read ΒΌ of a book on the day she received it. The next day, she read 5/8 of the book. On the third day, she finished reading the book. What decimal represents the fraction of the book Destiny read on the third day?

ANSWER: LESSON 1 1 βˆ’ 1 4 βˆ’ 5 8 = 8 8 βˆ’ 2 8 βˆ’ 5 8 = 8 8 βˆ’ 7 8 = 𝟏 πŸ–

1 8 = 0.125

π‘Šβ„Žπ‘–π‘β„Ž π‘ π‘¦π‘šπ‘π‘œπ‘™ π‘šπ‘Žπ‘˜π‘’π‘  4 5 a.> b.< c.= d.+ QUESTION: 5 2 3 π‘Ž π‘‘π‘Ÿπ‘’π‘’ π‘ π‘‘π‘Žπ‘‘π‘’π‘šπ‘’π‘›π‘‘?

4 5 = 4 βˆ— 3 5 βˆ— 3 = 12 15 2 3 = 2 βˆ— 5 3 βˆ— 5 = 10 15 4 5 = 𝟏𝟐 πŸπŸ“ > 𝟏𝟎 πŸπŸ“ = 2 3 ANSWER: 5

QUESTION: LESSON 2 β€’ Which of the following numbers is closest 88% on the number line? Write both the decimal and fraction form of the number. 4 5 , 8 9 , 21 25

ANSWER: LESSON 2 𝟏.

4 5 = 4 βˆ— 20 5 βˆ— 20 = 80 100 = 𝟎. πŸ– 𝟐.

8 9 ******* πŸ‘.

21 25 = 21 βˆ— 4 25 βˆ— 4 84 = 100 = 𝟎. πŸ–πŸ’ 88 88% = 100 = 0.88

QUESTION: 6 𝐿𝑖𝑠𝑑 π‘‘β„Žπ‘’ 𝑠𝑒𝑑 π‘œπ‘“ π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘  𝑖𝑛 π‘œπ‘Ÿπ‘‘π‘’π‘Ÿ π‘“π‘Ÿπ‘œπ‘š π‘™π‘’π‘Žπ‘ π‘‘ π‘‘π‘œ π‘”π‘Ÿπ‘’π‘Žπ‘‘π‘’π‘ π‘‘.

πŸ‘ πŸ• , πŸ’ πŸ“ , 𝟎. πŸ•πŸ“πŸ“

πŸ‘ πŸ• , 𝟎. πŸ•πŸ“πŸ“, πŸ’ πŸ“

ANSWER: 6

QUESTION: LESSON 3 β€’ The table shows the time Jira spends as she gets ready for school. The tasks are listed in order of when she completes them. How many minutes does she spend getting ready before she brushes her teeth?

TASK

Shower Get Dressed Eat Breakfast Brush Teeth Fix Hair

TIME SPENT (hours)

2/12 1/12 3/12 1/12 5/12

ANSWER: LESSON 3

30 minutes

π‘†β„Žπ‘œπ‘€π‘’π‘Ÿ + 𝐺𝑒𝑑 π·π‘Ÿπ‘’π‘ π‘ π‘’π‘‘ + πΈπ‘Žπ‘‘ π΅π‘Ÿπ‘’π‘Žπ‘˜π‘“π‘Žπ‘ π‘‘ 2 12 + 1 12 + 3 12 = 6 12 = 1 2 = β„Žπ‘Žπ‘™π‘“ π‘œπ‘“ π‘Žπ‘› β„Žπ‘œπ‘’π‘Ÿ = 30 π‘šπ‘–π‘› 6 12

QUESTION: 7

Most of the state names in the United States end in a vowel. Of the 50 states, 25 of the state names end in either an

a

or an

e

and 6 names end in a

u

, what is the fraction of states that end in a vowel ?

end in either an

i

or an

o

. If none of the state

25 + 6 50 =

31 50 ANSWER: 7

QUESTION: LESSON 4 β€’ How many units greater is the perimeter of Triangle B than the perimeter of Triangle A?

1 3 A 4 7 5 6 2 3 3 7 5 6

π‘ƒπ‘’π‘Ÿπ‘–π‘šπ‘’π‘‘π‘’π‘Ÿ 𝐴: 1 3 + 3 7 + 4 7 1βˆ—7 3βˆ—7 + 3βˆ—3 7βˆ—3 + 4βˆ—3 7βˆ—3 ANSWER: LESSON 4 π‘ƒπ‘’π‘Ÿπ‘–π‘šπ‘’π‘‘π‘’π‘Ÿ 𝐡: 5 6 + 2 3 + 5 6 5βˆ—3 6βˆ—3 + 2βˆ—6 3βˆ—6 + 5βˆ—3 6βˆ—3 Difference: 1 7 21 + 9 21 + 12 21 28 21 7 = 1 21 = 1 1 3 15 18 + 12 18 + 15 18 42 18 6 = 2 18 = 2 1 3

QUESTION: 8 𝐴𝑑𝑑 π‘œπ‘Ÿ π‘†π‘’π‘π‘‘π‘Ÿπ‘Žπ‘π‘‘. π‘Šπ‘Ÿπ‘–π‘‘π‘’ 𝑖𝑛 π‘†π‘–π‘šπ‘π‘™π‘’π‘ π‘‘ π‘“π‘œπ‘Ÿπ‘š.

ANSWER: 8 1.

5 6 βˆ’ βˆ’ 3 4 = 5 6 + 3 4 = 5 βˆ— 4 6 βˆ— 4 + 3 βˆ— 6 4 βˆ— 6 = 20 24 + 18 24 = 38 24 = 1 14 24 = πŸ• 𝟏 𝟏𝟐 2. 4 1 4 βˆ’ 7 9 = 17 4 βˆ’ 7 9 = 17 βˆ— 9 4 βˆ— 9 βˆ’ 7 βˆ— 4 9 βˆ— 4 = 153 36 βˆ’ 28 36 = 125 = 36 πŸ‘ πŸπŸ• πŸ‘πŸ”

QUESTION: LESSON 4 β€’ The circle graph shows how Elena handles her monthly income. What fraction more does she spend or give to charity than she saves?

ANSWER: LESSON 4 (Spend + Charity) – (Long Savings + Short Savings) 9 20 + 1 10 βˆ’ 1 4 + 1 5 = 9 20 2 + 20 βˆ’ 5 20 + 4 20 = 11 20 9 βˆ’ 20 2 = 20 𝟏 = 𝟏𝟎

Multiply. Write in simplest form. QUESTION: 9

ANSWER: 9 1. 4 7 Γ— 21 32 = 4Γ—21 7Γ—32 = 4Γ—3Γ—7 7Γ—4Γ—8 = πŸ‘ πŸ– 2. βˆ’3 1 7 Γ— 2 1 2 = βˆ’ 22 7 Γ— 5 2 = βˆ’2 Γ— 11 Γ— 5 7 Γ— 2 = βˆ’ 55 7 = βˆ’πŸ• πŸ” πŸ•

QUESTION : LESSON 5 The side measures for two sides of a triangle are shown. What is the measure, in inches, of side A if the perimeter of the triangle is 180 inches?

76 1 6 + 51 1 3 + 𝐴 = 180 76 1 6 + 51 2 6 + 𝐴 = 180 127 3 6 + 𝐴 = 180 𝐴 = 180 βˆ’ 127 1 2 𝑨 = πŸ“πŸ 𝟏 𝟐 ANSWER: LESSON 5

Round to the Hundredth’s place

1. πΆπ‘œπ‘›π‘£π‘’π‘Ÿπ‘‘ 762.8 π‘”π‘Ÿπ‘Žπ‘šπ‘  π‘‘π‘œ π‘π‘œπ‘’π‘›π‘‘π‘ .

QUESTION: 10 2. πΆπ‘œπ‘›π‘£π‘’π‘Ÿπ‘‘ 115 π‘‘π‘’π‘π‘Žπ‘šπ‘’π‘‘π‘’π‘Ÿπ‘  π‘‘π‘œ π‘–π‘›π‘β„Žπ‘’π‘  .

ANSWER: 10 1.

762.8 π‘”π‘Ÿπ‘Žπ‘šπ‘  Γ— 1 1 π‘π‘œπ‘’π‘›π‘‘ 453.6 π‘”π‘Ÿπ‘Žπ‘šπ‘  = 1.68 π‘π‘œπ‘’π‘›π‘‘π‘  K H D U D C M 2. 115 π‘‘π‘’π‘π‘Žπ‘šπ‘’π‘‘π‘’π‘Ÿπ‘  β†’ 115.000. β†’ 115000 π‘π‘š Γ— 1 1 π‘–π‘›π‘β„Ž 2.54 π‘π‘š = 45275.59 π‘–π‘›π‘β„Žπ‘’π‘ 

QUESTION: LESSON 7 In a sauce recipe, 2 cups of ketchup are added for every 1 cup of tomato sauce. If 2.25 cups of tomato sauce are added, about how many milliliters of ketchup should be added? Round to the nearest whole number.

ANSWER: LESSON 7 1 𝑐𝑒𝑝 π‘œπ‘“ π‘‡π‘œπ‘šπ‘Žπ‘‘π‘œ π‘†π‘Žπ‘’π‘π‘’ π‘‘π‘œ 2 𝑐𝑒𝑝𝑠 π‘œπ‘“ πΎπ‘’π‘‘π‘β„Žπ‘’π‘ 2.25 𝑐𝑒𝑝𝑠 π‘œπ‘“ π‘‡π‘œπ‘šπ‘Žπ‘‘π‘œ π‘†π‘Žπ‘’π‘π‘’ π‘‘π‘œ 2.25 βˆ— 2 𝑐𝑒𝑝𝑠 π‘œπ‘“ πΎπ‘’π‘‘π‘β„Žπ‘’π‘ 2.25 βˆ— 2 = 4.50 𝑐𝑒𝑝𝑠 4.50 𝑐𝑒𝑝𝑠 1 Γ— 236.54 π‘šπΏ 1 𝑐𝑒𝑝 = πŸπŸŽπŸ”πŸ’. πŸ’πŸ‘ π’Žπ‘³ 𝒐𝒇 𝑲𝒆𝒕𝒄𝒉𝒖𝒑

8 Γ· 4 2 3 QUESTION: 11

ANSWER: 11 8 Γ· 3 2 3 = 24 3 Γ· 11 3 = 24 3 3 Γ— 11 = 24 11 = 𝟐 𝟐 𝟏𝟏

QUESTION: LESSON 8 A family-sized container of macaroni holds sixteen 3 4 cup servings. A chef prepares meals using 1 1 3 in each bowl. How many bowls can the chef prepare from one family-sized container. cups

ANSWER: LESSON 8 16 3 4 Γ· 1 1 3 = 192 4 Γ· 4 3 = 192 4 Γ— 3 4 = 576 = 16 πŸ‘πŸ” π’ƒπ’π’˜π’π’”