Name Period Date - Katy Independent School Districtstaff.katyisd.org/sites/crjh6Math/Academic Documents...Name Period Date 6th grade Academic Math Test Review on Chapter I Lessons

Name Period Date

6th grade Academic Math Test Review onChapter I Lessons 1,2..and 3 and Chapter 3 Lessons 1 and 2. Review is due

Thursday, September 11, test is Friday, September 12, 2014. All work should beshown and attached if on a separate sheet of paper. Highlight your final answer!

Generate an integer to describe each situation. Explain the meaning of zero in each situation.

1. Jane lost a twenty-dollar bill.

2. The balloon expands three centimeters each second.

3ÿ Which has the greater value,--4 or-5? h j11/,ÿ1 6.2(Q ]

q, Which set of integers is graphed on the number line? b[;ÿ,'ÿf 6.2(C1 I

T I T 1 1 T I I I

-3--2-1 0 1 2 3 4 5

,ÿ, Which has the greater value, -14 or -1-161? ti;€,'€ÿ1 6.2(C) ]

, What is the value of the expression 1-361 + 17[? h 1:€,'g1 6.2(B)]

• ÿ .')For Exerc,ses'7 ana ÿ generate an integer for each situation. # tÿ,'ÿf 6,4(B) i

"-]ÿ a withdrawal of $85

,, a gain of 7 yards on a play

For Exercises ÿ-1-ÿ[, replace each

9, 9 "-8>

¢/), 6 " ' -8>

tii.-4 ', -3 <J

i ÿ.' Order-5,-7, 0, and 4 from least to greatest, h/;ÿ,'ÿf 6.2(D) I

: with <, >, or = to make a true sentence. itÿ,'¢,1 6.2(C) !

\

For Exereisesÿ:+.ÿevaluate each expression, ht;],'gÿ 6.2(B)

tÿ. 1-81

I

/ÿ,: 1-141 + 151

[ÿ, Identify the opposite of-17. ÿ 6.2(B) ]

!-ÿr What set of integers is graphed oÿ the nmnber line below? h d;ÿ,t¢ÿ 6.2(€) ]

I T I I T I I

-4-3-2-I 0 I 2 3 4

/ÿ. What integer represents the situation "6 yards behind the winner"?

[ÿ ÿ. What is the opposite of-132? j [ ÿ'ÿ 6.2(8)" ]

.......... L .......

, Write a situation that is best described by a negative integer. J[;ÿ,'£ÿ 6.2(B) I

Write an addition or subtraction equation that is represented by each model.TEKS 6.3(C)

, I.I I I I I I I [ I 1- -I I I I 1 1-6-5-4-3-2-1 0 1 2 3 4 5 6 -6-5-4-3-2-1

,

[ Io 1 2

I [3 4

I I-5 6

19+(-3)+6

, -I-13 + 51-17 - 101

Determine the value of each expression. TEKS 6.3(D)

" ÿ>ÿ3,.. -5 + (-1) + 7

• ÿ 12 - x71-1-41

NAME DATE PERIOD

Lesson 1 Problem-Solving Practice

Integers and Graphing

For Exercises 1-3, use the table below. The table shows the depths ofscuba diving attractions on a certain dive

tour.

Attractions Depth (ft)

Coral reef -22

Modem shipwreck -98

Old shipwreck -108

Cave -16

1. Locate the integer representing the depth of the coralreef on a number line.

1 1 I,-22 -21 -20

2. Hiromi took pictures of both shipwrecks. Locate theintegers that represent the depths of the shipwrecks on anumber line.

.I 1 I I I I 1 I I I ',--108 -106 -104 -102 -100 -98

7. The entrance of a cave is at an elevation of 14 meters.The lowest part of the cave is at an elevation of-86meters. Generate an integer to represent the elevationof the entrance to the cave.

-I 6 -15 -14 -13 -12 -11 -10-,I f I I 1 I I,

5. Catesby ran up 16 flights of stairs. Generate an integerto represent this situation.

3. Sandra swam in the cave and around the coral reef.Locate the integer that represents the depth of the caveon a number line.

4. The liquid in Beaker A has a temperature of -4°C. Theliquid in Beaker B has a temperature of 2°C. Locate theintegers that represent the temperatures on a numberline.

,I l I [ I ' '',,-4-3-2-1 0 1 2

6. Nazir used more minutes on his cell phone than his planallows. He now owes his parents $15. Generate aninteger to represent this debt.

8. Larry lost 45 cents when it fell out of his jacket pocketwhile he was playing. Generate an integer to representthis loss.

Course 1 . Chapter I Rational Numbers and the Coordinate Plane

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Absolute Value

For Exercises 1-3, use the table below. The table shows the elevations of different hiking trails.

Trail Elevation (ft)

Sand -2

Cactus 15

Southern -12

Rocky 42

1. What is the absolute value of the elevation of SandTrail?

2. Michael hiked both the Cactus Trail and the SouthernTrail. Is the absolute value of the elevation of theCactus Trail greater than or less than the absolute valueof the elevation of the Southern Trail?

3. Chi hiked the Rocky Trail. What is the opposite of theelevation of the Rocky Trail?

4. The freezing point of a certain liquid is -7°F. Anotherliquid freezes at -12°F. What is the difference betweenthe absolute values of each freezing point?

7. The record low temperature for a town is -13°F.Yesterday, it was 6°F. What is the difference betweenthe absolute values of these two temperatures?

5. Belinda received a +3 points on a problem on a quiz.What is the absolute value of the number of points shereceived?

6. On Tuesday, Franklin deposited $35 into his account.On Wednesday, Oe vÿithdrÿw $25. Evaluate theexpression / 35/- 1-25 Ito find the net change of hisaccount.

8. Kiley swam 6 feet below sea level and Bryan swam 8feet below sea level. Determine the difference betweenthe absolute values for each depth.


NAME DATE PERIOD


Compare and Order Integers

1. Melanie, Byron, and Chin are all waiting at the busstop. Melanie's bus leaves at 10 minutes after noon.Byron's bus leaves at 15 minutes before noon. Chin'sbus leaves at 5 after noon. Arrange the three accordingto who will leave the bus stop first.

2. Darnell pays for 500 minutes of Internet use a month.The table indicates his Intemet usage over the past 4months. Positive values indicate the number of minuteshe went over his allotted time and negative valuesindicate the number of minutes he was under. Arrangethe mouths from least to most minutes used.

Month Time

June -20

July 65

August -50

September 20

3. In a golf match, Jesse scored 5 over par, Neil scored 3under par, Felipo scored 2 over par, and Dawsonscored an even par. Order the players from least togreatest score.

4. The table shows the average normal Januarytemperature of four cities in Alaska. Compare thetemperatures of Barrow and Fairbanks, using < or >.

City Temperature (°F)

Anchorage 15

Barrow -13

Fairbanks -10

Juneau 24

5. Use the table in Exercise 4. Compare the temperaturesof Anchorage and Fairbanks using < or >.

6. Use the table from Exercise 4. Write the temperaturesof the four cities in order from highest to lowesttemperature.


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Add Integers

Write an addition expression to describe each situation. Then determine each sum.

1. A team gains 20 yards. Then they lose 7 2. Roger owes his morn $5. He borrows

yards. another $6 from her.

3. Jewet's score was 5 over par on the first 9

holes. Her score was 4 under par on the

second 9 holes.

4. A balloon rises 340 feet into the air. Then itdescends 130 feet.

5. A cyclist travels downhill for 125 feet.Then she travels up a hill 50 feet.

6. A plane descends 1,200 feet. Then it

descends another 500 feet.

Course 1 . Chapter 3 Operations with Integers

NAME DATE PERIOD


Subtract Integers

1. A team gained 5 yards on their first play ofthe game. Then they lost 6 yards. Find thetotal change in yardage.

. Your checking account is overdrawn by $50.

You write a check for $20. What is thebalance in your account?

3, The average temperature in Calgary, Canada,is 22°C in July and -11°C in Janua17. Find therange of the highest and lowest temperatures

in Calgary.

4. A roller coaster begins at 90 feet above

gromld level. Then it descends 105 feet. Findthe height of the coaster after the first descent.

Sonia has $235 in her savings account. She

withdraws $45. What is left in her smzingsaccount?

6. Wai and Kuri were digging in the sand at thebeach. Wai dug a hole that was 15 inchesbelow the surface and Kuri dug a hole thatwas 9 inches below the surface. Find the

difference in the depths of their holes.

Course I • Chapter 3 Operations with Integers