Understanding Graphs and Cartesian Plane
78 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the simplest way to estimate fractions?

  • Use the furthest whole number
  • Use prime numbers
  • Use the closest whole number (correct)
  • Use decimals

What type of fraction is a proper fraction?

  • Numerator and denominator are the same
  • Denominator is smaller than the numerator
  • Numerator is larger than the denominator
  • Numerator is smaller than the denominator (correct)

What is required before adding or subtracting unlike fractions?

  • Finding the greatest common factor
  • Converting both fractions to decimals
  • Finding the least common denominator (correct)
  • Multiplying the fractions directly

How are mixed numbers converted to improper fractions?

<p>Multiply the denominator by the whole number and add that to the numerator (B)</p> Signup and view all the answers

What does a fraction consist of?

<p>Numerator and denominator (D)</p> Signup and view all the answers

What operation is equivalent to dividing by a fraction?

<p>Multiplying by its reciprocal (D)</p> Signup and view all the answers

How are equations with mixed numbers generally solved?

<p>Turn mixed numbers into improper fractions first (C)</p> Signup and view all the answers

What do like fractions have in common?

<p>The same denominators (A)</p> Signup and view all the answers

What is the process to simplify a proper fraction?

<p>Find the greatest common factor and cancel it from both the numerator and denominator (D)</p> Signup and view all the answers

How can you determine if two fractions are equivalent using cross multiplication?

<p>Multiply the numerator by the denominator of the other fraction (C)</p> Signup and view all the answers

How do you compare fractions with different denominators?

<p>Determine the least common denominator (A)</p> Signup and view all the answers

What should be done first when ordering fractions with unlike denominators?

<p>Determine the least common denominator (C)</p> Signup and view all the answers

How can you simplify a fraction that already uses large numbers?

<p>Divide both numerator and denominator by a common factor (A)</p> Signup and view all the answers

What does rounding to the nearest whole number involve?

<p>Comparing if the numerator is half of the denominator (D)</p> Signup and view all the answers

How do you determine if two fractions are equivalent by using multiplication?

<p>Multiply both numerator and denominator by a common factor (B)</p> Signup and view all the answers

How is an improper fraction simplified?

<p>Divide the denominator into the numerator (A)</p> Signup and view all the answers

What is a decimal number?

<p>A number that has a decimal point (D)</p> Signup and view all the answers

How do we solve problems involving decimal numbers and patterns?

<p>Examine the pattern, figure out the rule, write a formula, find any number (B)</p> Signup and view all the answers

Which of the following is NOT a type of fraction?

<p>Decimal fractions (A)</p> Signup and view all the answers

What do we call the top number in a fraction?

<p>Numerator (A)</p> Signup and view all the answers

What does LCM stand for in the context of fractions?

<p>Least Common Multiple (C)</p> Signup and view all the answers

How can different types of fractions be operated on?

<p>Through addition and subtraction (A)</p> Signup and view all the answers

What is the purpose of finding a common multiple for fractions?

<p>To make operations easier (A)</p> Signup and view all the answers

Why is it important to understand patterns before writing formulas for decimal numbers?

<p>To avoid mistakes in calculations (A)</p> Signup and view all the answers

What does going to the right on the number line indicate?

<p>Getting to larger numbers (B)</p> Signup and view all the answers

Where is the point (2, -4) located?

<p>Lower right quadrant (D)</p> Signup and view all the answers

Which part of a graph helps in determining the precise location of points?

<p>Ordered pairs (D)</p> Signup and view all the answers

What are the four areas created by the x and y axes called?

<p>Quadrants (D)</p> Signup and view all the answers

What does the first number in an ordered pair represent?

<p>X-axis value (C)</p> Signup and view all the answers

Where is the point (1, 2) located?

<p>Upper right quadrant (C)</p> Signup and view all the answers

Which part of a graph helps in understanding the relationship between variables?

<p>Ordered pairs (D)</p> Signup and view all the answers

What does a positive x-intercept line indicate?

<p>Crosses the x-axis to the right of the origin (D)</p> Signup and view all the answers

What is the numerator in a fraction?

<p>The whole number a (D)</p> Signup and view all the answers

How is combining fractions by addition or subtraction done?

<p>By finding a common denominator and then combining numerators (B)</p> Signup and view all the answers

What is the correct method for multiplying fractions?

<p>Multiplying both the numerators and denominators (A)</p> Signup and view all the answers

How can repeating decimals be represented using fractions?

<p>By using a power of 10 (C)</p> Signup and view all the answers

What is the relationship between dividing by a number and multiplying by its reciprocal?

<p>Multiplying by the reciprocal is the inverse of dividing (C)</p> Signup and view all the answers

How are percents converted to fractions?

<p>Drop the % sign, write as a fraction with denominator of 100 (B)</p> Signup and view all the answers

What is the purpose of plotting numbers on a number line?

<p>To learn how to compare numbers visually (A)</p> Signup and view all the answers

Where should negative numbers be placed on a number line?

<p>To the left of 0 (D)</p> Signup and view all the answers

What does the first number in an ordered pair indicate?

<p>Location on the x-axis (B)</p> Signup and view all the answers

Which part of a graph helps in locating the quadrants?

<p>Ordered pairs (C)</p> Signup and view all the answers

Where is the point (0, 0) located on the coordinate plane?

<p>Center of the cartesian plane (C)</p> Signup and view all the answers

What do axes labels on a graph help to understand?

<p>The representation of the graph (D)</p> Signup and view all the answers

What is the purpose of the x and y-intercepts on a graph?

<p>To cut the axes at a specific number (D)</p> Signup and view all the answers

What is the first step in transforming repeating decimals into fractions?

<p>Identify the repeating digit (B)</p> Signup and view all the answers

In which quadrant is point (-3, -5) located?

<p>Quadrant IV (B)</p> Signup and view all the answers

How are repeating decimals more accurately represented using fractions?

<p>By identifying the repeating digit (B)</p> Signup and view all the answers

What part of the graph helps paint a picture of the relationship of variables to each other?

<p>Lines and points (C)</p> Signup and view all the answers

What do ordered pairs on a graph represent?

<p>Points on the x and y axes (B)</p> Signup and view all the answers

What is the key difference in the process of combining fractions by addition or subtraction versus multiplication or division?

<p>Common denominator required (C)</p> Signup and view all the answers

Which form of numbers expresses values as ratios showing the relationship between two parts?

<p>Fractions (B)</p> Signup and view all the answers

What is the main purpose of converting between different forms of numbers?

<p>To be able to use numbers in various situations (B)</p> Signup and view all the answers

Where is the number 0 located on a number line?

<p>In the middle (A)</p> Signup and view all the answers

How are negative numbers represented on a number line?

<p>To the left of 0 (C)</p> Signup and view all the answers

What should be done first when comparing multiple numbers on a number line?

<p>Plot them on the number line (D)</p> Signup and view all the answers

What is the purpose of examining the pattern before writing a formula for decimal numbers?

<p>To identify the rule governing the pattern (C)</p> Signup and view all the answers

What is the role of a fraction's denominator?

<p>To represent the total number of parts (D)</p> Signup and view all the answers

What does the least common multiple (LCM) represent for two or more fractions?

<p>The smallest integer that is a multiple of their denominators (B)</p> Signup and view all the answers

How are unit fractions different from other types of fractions?

<p>They always have a numerator of 1 (A)</p> Signup and view all the answers

What does a fraction's least common denominator (LCD) refer to?

<p>The smallest number that can divide all denominators evenly (D)</p> Signup and view all the answers

How can you simplify a fraction that involves large numbers?

<p>Multiply the numerator and denominator by a common factor (D)</p> Signup and view all the answers

What is the simplest way to estimate fractions?

<p>Use the closest whole number (B)</p> Signup and view all the answers

What does a proper fraction mean?

<p>Numerator is smaller than denominator (B)</p> Signup and view all the answers

How are mixed numbers converted to improper fractions?

<p>Multiplying the denominator by the whole number and adding the numerator (D)</p> Signup and view all the answers

What is the correct method for adding fractions with unlike denominators?

<p>Find the least common denominator and add the numerators (A)</p> Signup and view all the answers

What is important before adding or subtracting fractions with unlike denominators?

<p>Finding a common denominator (B)</p> Signup and view all the answers

What is a mixed number?

<p>A combination of a whole number followed by a fraction (B)</p> Signup and view all the answers

How are equations with mixed numbers generally solved?

<p>By converting mixed numbers to improper fractions first (A)</p> Signup and view all the answers

What is dividing by a fraction equivalent to?

<p>Multiplying by its reciprocal (A)</p> Signup and view all the answers

What is the purpose of finding the least common denominator when comparing and ordering fractions?

<p>To convert fractions with unlike denominators to the same base (D)</p> Signup and view all the answers

How is simplifying an improper fraction different from simplifying a proper fraction?

<p>Requires dividing the denominator into the numerator (C)</p> Signup and view all the answers

Why is cross multiplication used to determine if two fractions are equivalent?

<p>To multiply the numerators and denominators (A)</p> Signup and view all the answers

What is the first step in rounding a fraction to the nearest whole number?

<p>Comparing the numerator with half the denominator (D)</p> Signup and view all the answers

How can you simplify a fraction that contains another fraction or decimal?

<p>Multiply by a value that cancels out the second fraction or decimal (D)</p> Signup and view all the answers

Why are equivalent fractions used in operations involving fractions?

<p>To make calculations easier (C)</p> Signup and view all the answers

In comparing fractions, what does having different denominators require?

<p>Finding a least common denominator (D)</p> Signup and view all the answers

What process is needed before adding fractions with unlike denominators?

<p>Finding equivalent fractions with like denominators (D)</p> Signup and view all the answers

More Like This

Cartesian Graphs Quiz
6 questions
Linear Equations and Graphs Quiz
10 questions
Graphing in the Cartesian Plane
0 questions
Mathematics: Sets and Graphs
40 questions
Use Quizgecko on...
Browser
Browser