Mathematics VII August Unit Assessment

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.