Mathematics VII August Unit Assessment

Questions and Answers

What is the result of adding (−11) and (−7)?

−18

Which integer should be placed in the blank to solve (−45) − _____ = 0?

−45

What is the value of (−1) raised to the power of 99?

−1

What is the additive inverse of −15?

+15 Signup and view all the answers

Calculate the expression: −30 + 25 − (−19).

14 Signup and view all the answers

In the sequence −23, −15, −7, 1, 9, 17, what is the next integer?

25 Signup and view all the answers

Arrange the integers 12, −11, 0, −15, 8 in ascending order.

−15, −11, 0, 8, 12 Signup and view all the answers

Evaluate: (−15) × 0 × (−4) × 8.

0 Signup and view all the answers

What is the final result of the expression $−96 − (−53) + 186 − 75$?

68 Signup and view all the answers

Calculate the result of the expression $79 − 4 − (−98) + (−10)$.

163 Signup and view all the answers

What is the product of the expression $(−6) × (−5) × (−4) × 5$?

-600 Signup and view all the answers

Find the product of the integers $(−13) × (−5) × (−10) × (−2)$.

1300 Signup and view all the answers

If the sum of two integers is $−126$ and one integer is $−73$, what is the other integer?

−53 Signup and view all the answers

A submarine descends from a position of $250 ext{ m}$ below sea level to $345 ext{ m}$. What is its new position?

595 m below sea level Signup and view all the answers

Study Notes

Multiple Choice Questions

Option a) states that (−11) + (−7) is greater than (−11) − (−7). This is incorrect.
Option c) presents that (−11) + (−7) is equal to (−11) − (−7). This is also incorrect.
The correct evaluation shows that (−11) + (−7) < (−11) − (−7) (option b).
To make (−45) yield 0, it must be added to +45 (option d).
The expression (−1)99 simplifies to −1 (option b).
To find the missing integer in {(−13) + (−51)} + _____ = (−13) + {(−51) + (−73)}, the result is −73 (option a).
The calculation (−7) − (−5) equals +2 (option d).
The additive inverse of −15 is +15 (option b).
The evaluated product (−15) × 0 × (−4) × 8 results in 0 (option a).
The expression −30 + 25 − (−19) evaluates to 14 (option c).

Arranging Integers

Integers 12, −11, 0, −15, and 8 in ascending order are: −15, −11, 0, 8, 12.
Integers 65, −100, −21, −77, 100, and 7 arranged in ascending order are: −100, −77, −21, 7, 65, 100.

Completing Patterns

The pattern −23, −15, −7, 1, 9, 17 continues in increments of 8.
The pattern 8, 5, 2, −1, −4, −7 continues in decrements of 3.

Evaluating Expressions

For −96 − (−53) + 186 − 75:
- Changes to: −96 + 53 + 186 − 75 = −171 + 239 = 68.
For 79 − 4 − (−98) + (−10):
- Changes to: 79 + 98 − 4 − 10 = 177 − 14 = 163.

Multiplication Evaluations

The multiplication (−6) × (−5) × (−4) × 5 equals −600.
The multiplication (−13) × (−5) × (−10) × (−2) equals 1300.

Solving Integer Problem

The sum of two integers is −126. If one integer is −73, the other integer is found by solving x − 73 = (−126), resulting in x = (−53).

Submarine Position

A submarine at 250 m below sea level descending to 345 m reaches a new position of 595 m below sea level, calculated as 250 + 345.

Description

Test your knowledge of integers with this assessment aimed at 7th-grade students. Focused on examples from Exercises 1.1 to 1.3, this quiz will help reinforce your understanding of the topic. Be prepared to bring your answers to school for discussion.