Math Problem Statement
Solution
Let's go over the answers step by step for each question from the image you uploaded:
Multiple-choice questions:
-
Which of the following statements is incorrect?
- A: is false (so it's incorrect).
- Correct Answer: A.
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12 + (-9) - (-3) is the same as:
- This simplifies to .
- Correct Answer: B is correct.
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If , the value of is:
- , so .
- Correct Answer: D.
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The coordinates of the point that is 3 units below (3, 1):
- Moving 3 units down means subtracting 3 from the y-coordinate: .
- The new coordinates are (3, -2).
- Correct Answer: E.
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12 × (-4 + (-8) ÷ 2) equals:
- Simplify the expression: , so .
- Correct Answer: A.
Do you want further details on any of the solutions? Here are some related questions:
- Can you explain why is false?
- What happens if you change the subtraction to addition in question 2?
- How do you determine the square of a negative number?
- How would the answer change in question 4 if we moved 3 units up instead of down?
- How does division affect the operation inside the parentheses in question 5?
Tip: Always simplify expressions inside parentheses first, especially when they involve division or multiplication, to avoid calculation errors.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Integer Operations
Coordinate Geometry
Algebraic Expressions
Multiplication and Division of Integers
Formulas
Multiplication of negative numbers
Square of a number
Addition and subtraction of integers
Theorems
Order of operations (PEMDAS)
Suitable Grade Level
Grades 6-8
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