1. Which of the following pairs of points graphed below have values that are opposites? 2. Which has the least common factor of 15 and 30? 3. Which of the following pairs shows an... 1. Which of the following pairs of points graphed below have values that are opposites? 2. Which has the least common factor of 15 and 30? 3. Which of the following pairs shows an integer? 4. With which number has the same absolute value as -6? 5. What is the value represented on a number line for -2?
Understand the Problem
The question appears to be part of a Grade 7 mathematics assignment, likely asking the student to complete various math problems involving concepts such as integers, absolute values, and graph interpretation. It involves solving multiple choice questions.
Answer
- Identify the opposites and calculate absolute values as described.
Answer for screen readers
- Opposite points: Identify pairs that have opposite values.
- Absolute values: Calculate $|x|$ for relevant x-values.
- Absolute value candidates: For example, for $|-5|=5$, check provided options.
Steps to Solve
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Identify the questions First, look at the questions from the assignment, specifically focusing on questions that involve integer values, absolute values, and understanding graphs.
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Analyze question 1 Question 1 asks which of the points graphed are opposites. To find the opposite of a number, you switch its sign. For example, the opposite of $x$ is $-x$.
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Analyze question 2 Question 2 asks for the absolute value of certain numbers. The absolute value, denoted as $|x|$, is the distance of $x$ from zero on a number line, which is always non-negative.
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Analyze question 3 Question 3 involves determining which number corresponds to a certain absolute value. Recall that absolute values can yield two numbers: $x$ and $-x$ if $|x|$ is given.
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Perform calculations for absolute values For example, if the question is $|7|$, the answer is simply $7$. If it is $|-7|$, the answer is also $7$.
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Check the graph for opposites Look on the number line in question 1; identify pairs of points that are equidistant from zero but on opposite sides.
- Opposite points: Identify pairs that have opposite values.
- Absolute values: Calculate $|x|$ for relevant x-values.
- Absolute value candidates: For example, for $|-5|=5$, check provided options.
More Information
Understanding opposites and absolute values is crucial in basic algebra. Opposites are useful in solving equations, while absolute values help in understanding distances.
Tips
- Misunderstanding opposites: Remember they are always the same distance from zero and directly across on the number line.
- Confusing positive and negative signs when calculating absolute values.
