Grade 7 Elementary Integers

Basic Integers

100

Arrange the integers in descending order:

            -9,  6, 0, -7 , 2

6, 2, 0, -7, -9

200

What is the product of  (-7) (-8)?

56

300

What is the absolute value of  -24?

24

400

What is the sum of the smallest whole number and the smallest counting number?

0 + 1 = 1

Ans. 1

500

Let one white tile represent +1 and one black tile represent –1. You have 16 black tiles. How many tiles would you exchange for white tiles to model –10?

What is 3 black tiles?

Representing Integers

100

An elevator starts on the 6th floor. It goes down 9 floors. On what floor does the elevator stop?

-3

200

A hiker is at an elevation of 120 meters above sea level. He descends 185 meters. What is his new elevation?

Solution:
120 + (-185) = -65

300

 Find the sum of (–12) + (+5).

 +7

400

Using the Gaussian method, find the sum of the first 10 negative natural numbers.

-55

500

Name all pairs of integers that have a sum of -3.

+5, +6, +7, +9, -8, -9, -10, -12

What is (+5,-8) (-9,+6) (-10, 7), (+9,+12)

Operations of Integers

100

Bryan gets on an elevator at the 35th floor. The elevator goes down 17 floors then up 9 floors. At what floor does it finally stop?

27th  floor

200

What is the sum of (-3)+(-19)?

-22

300

The temperature is 15°C and drops 8°C. Write an ADDITION equation to calculate the final temperature. What is the final temperature?

What is 15+ (-8) = 7

400

In a golf tournament, Joey got a score of +11 and Melissa got a score of –5. What was their combined score?

What is +6

500

The price of a stock was $38 on Monday morning. The value of the stock went up $3, down $5, down $1, up $2, and up $4 during the 5 days of the week. Find the value of the stock at the end of the week.

 41

Sets

100

Which is the set-builder form of {1, 2, 3, 4, 5}?

A. {x | x > 5}
B. {x | x < 5}
C. {x | 1 ≤ x ≤ 5}
D. {x | x is even}

C. {x | 1 ≤ x ≤ 5}

200

Which is the set of prime numbers less than 10 in roster form?

        A. {1, 2, 3, 5, 7}
        B. {2, 3, 5, 7}
        C. {2, 4, 6, 8}
        D. {3, 5, 7, 9}

B. {2, 3, 5, 7}

300

Which is the set-builder form of {2, 3, 5, 7}?

A. {x | x is even}

B. {x | x < 10}
C. {x | x is a prime number less than 10}
D. {x | x is odd}

C. {x | x is a prime number less than 10}

400

A hiker is at an elevation of 120 meters above sea level. He descends 185 meters. What is his new elevation?

120 + (-185) = -65

500

Write the next two terms in the pattern. +16, +9, +2, –5, ...

What is -12 and -19

Venn Diagram

100

In a class of 40 students:

• 22 like apples
• 18 like bananas
• 8 like both apples and bananas

How many students like only apples?

A. 14.      B. 22.      C. 8.        D. 10

A. 14

200

In a school, 50 students joined sports clubs:

• 30 joined basketball
• 25 joined volleyball
• 10 joined both basketball and volleyball

How many students joined basketball only?

A. 20      B. 30       C. 15        D. 10

    A. 20  

300

Among 35 students:

• 20 like Mathematics
• 15 like Science
• 7 like both Mathematics and Science

How many students like either Mathematics or Science?

A. 42        B. 28        C. 35.       D. 13

20 + 15 - 7 = 28

Answer: B. 28

400

n a group of 60 students:

• 35 read comics
• 28 read storybooks
• 12 read both comics and storybooks

How many students read neither comics nor storybooks?

A. 9        B. 15         C. 21         D. 25

Solution:
Students who read comics or storybooks:

35 + 28 - 12 = 51

Students who read neither:

60 - 51 = 9

Answer: A. 9