Number Line Problems

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Questions and Answers

A number line shows points A, B, and C. Point A is at -5, point B is at 2, and point C is at 7. What is the distance between point A and the midpoint of points B and C?

  • 3
  • 1
  • 6 (correct)
  • 8

Which of the following inequalities is satisfied by all the integers graphed to the left of -3 on a number line?

  • $x \leq -4$
  • $x \geq -3$
  • $x < -3$ (correct)
  • $x > -3$

Which point represents the integer with the greatest absolute value?

  • Point D at 2
  • Point C at -3
  • Point A at -8 (correct)
  • Point B at 5

If point P is at -6 and point Q is at 4 on a number line, which expression correctly calculates the distance between P and Q?

<p>$|-6 - 4|$ (B)</p> Signup and view all the answers

On a number line, point X is located at -2. A new point Y is located 5 units to the left of point X. What is the coordinate of point Y?

<p>-7 (C)</p> Signup and view all the answers

Given the integers -5, 0, 3, and -8, which of the following statements is true regarding their placement on a number line?

<p>-5 is to the right of -8 (D)</p> Signup and view all the answers

What inequality represents all numbers graphed to the right of (and including) -11 on a number line?

<p>$x \geq -11$ (A)</p> Signup and view all the answers

Consider points R, S, and T on a number line. R is at -9, S is at -1, and T is at 6. Which point is the furthest from zero?

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

A number line has points labeled from -10 to 10. If Jamal starts at -4 and moves 7 units to the right, at what number will he stop?

<p>3 (B)</p> Signup and view all the answers

On a number line, if you start at -15 and need to reach 8, how many units must you move to the right?

<p>23 (B)</p> Signup and view all the answers

Flashcards

Absolute Value

A number's distance from zero on a number line, always non-negative.

Origin

The point (0,0) on a coordinate plane where the x-axis and y-axis intersect.

Number Line

A visual representation of numbers using a horizontal line.

Quadrants

A coordinate plane is divided into four regions by the x and y axes.

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X-axis

The horizontal axis on a coordinate plane, used to measure horizontal distance.

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Y-axis

The vertical axis on a coordinate plane, used to measure vertical distance.

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Ordered Pair

A pair of numbers (x, y) that define the position of a point on a coordinate plane.

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Coordinate Plane

Uses two perpendicular number lines (x and y axes) to define a 2D space.

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Positive Numbers

Numbers greater than zero; located to the right of 0 on a number line.

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Negative Numbers

Numbers less than zero; located to the left of 0 on a number line.

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