Topic 1 Review Integers

Integers

100

What is the opposite of -42?

42

200

What is absolute value?

The distance from 0 on a number line; always given as a positive number.

300

|-2| ___ 2

equal to; =

400

|-6| ____ |-3|

greater than; >

500

|8-12|

4

600

A submarine was at a depth of -150 meters below sea level. It descended another 85 meters, then ascended 120 meters. What is its final position relative to sea level?

What is -115 meters?

700

The temperature at midnight was -12°F. By 6:00 AM, the temperature dropped another 15°F, then rose 28°F by noon. What was the temperature at noon?

What is 1°F?

800

A hiker began at an elevation of 1,250 feet above sea level. He climbed 320 feet, then went down a steep trail losing 950 feet. What is his final elevation?

What is 620 feet?

900

In a video game, a player starts with –40 health points. She gains +75 health points, but then loses –95 health points after being attacked. What is her final health?

What is -60?

1000

The stock value of a company was $–480 (in debt). Over the next week, the stock gained $150, dropped $275, then gained another $400. What is the company’s final value?

What is -205

Rational Numbers

100

What two types of decimals are rational numbers?

Terminating; Repeating

200

A number is a rational number when it can be...

written as a fraction.

300

Convert -1.8 into a fraction.

-1 4/5

400

Convert -3 8/11 into a decimal.

-3.72 (repeating)

500

Convert this fraction into a decimal.

23/125

What is 0.184?

600

Convert this fraction into a decimal.

77/40

What is 1.925?

700

Convert this fraction into a decimal.

5/27

What is 0.185 (repeating 185)?

800

Convert this fraction into a decimal.

14/11

What is 1.27 (repeating 27)?

900

Convert this fraction into a decimal.

123/250

What is 0.492?

1000

Convert this decimals to fraction. Place in simplest form. 0.875

What is 

7/8?

Operations with Integers

100

2 - 3=

-1

200

(-4 + 7) +4 =

7

300

-2 * 2 * -4

16

400

The temperature was 6 degrees in the morning, it went up 15 degrees in the afternoon, and then fell 26 degrees over night. What is the new temperature?

-5 degree

500

You have 3 group of children you teach basket weaving to: • The first group has 40 students. • The second group has 32 students. • The third class group had 48 students. You wants to divide each class into groups so that every group in every class has the same number of students and there are no students left over. What is the maximum number of students that she can put into each group?

8

600

(−45)+78−(−32)+(−56)

Solve.

What is 9?

700

(−12)×(−8)+50÷(−5)

Solve.

What is 86?

800

(−120)÷12+(−7)×6

Solve.

What is -52?

900

[(−25)+14]×(−3)−(−60)÷5

Solve.

What is 45?

1000

(−8)×[(−15)+20]−144÷(−12)

Solve.

What is -28?

Operations with Rational Numbers

100

1/2 * -3/4

-3/8

200

-0.2 divided by 0.6

-0.33 repeating

300

(-2 3/8) * (-1/8) * (-1/2)

-19/128

400

-2.85 - (-1.62)

-1.23

500

-9.8 - 2/3 =

-10 7/15

600

Solve.

(−18)+3/4(16)

What is -6?

700

Solve .

(−5/2)×12+(−9)

What is -39?

800

Solve.

45÷(−9/4)+(−7)

What is -27?

900

Solve.

(−6.5)+13/2−4

What is -4?

1000

Solve.

(−15/4)×(8/3)−(−10)

What is 0?

Random

100

1/2 + 1/8

5/8

200

10.2 - (-1.2)

11.4

300

-2.5 divided by 6

-0.4166 (repeating)

400

How many 3/4 gallon tubs of ice cream can be made out of 7 gallons?

9 whole 3/4 gallons with 1/3 of 3/4 of a gallon left over

500

To subtract rational numbers you...

ADD THE OPPOSITE!

600

The temperature in Alaska was –18°F in the morning. By the evening, it dropped another –12°F. What was the final temperature?

What is –30°F?

700

Sarah had $120 in her account. She spent $45.75 on groceries and later deposited –$32.50 (a fee mistakenly added). What is her new balance?

What is $41.75?

800

A hiker started at –150 feet below sea level. She climbed up 5/2 miles (convert to feet: 5/2×5280=13,200 ft). What is her final elevation relative to sea level?

What is 13,050 ft.?

900

During a football game, a quarterback was sacked for a –8.5 yard loss on the first play. On the second play, he gained 15.75 yards. What is his net yardage?

What is 7.25 yd. gained?

1000

An investor lost $450 on one stock but gained 2/5 of that loss back the next day. What was the total change in his account?

What is -$270?