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Introduction to Linear Polynomials

Track quiz

Eight quick questions, one for each idea. Use the table if you get stuck.

Introduction to Linear Polynomials — two numbers, eight ideas
IdeaRemember
PolynomialA sum of terms. Each power is a whole number.
DegreeThe highest power of the letter.
Linear ruley = ax + b. Multiply first, then add.
A tableEqual steps in give equal steps out.
A point(input, output), in that order.
Slopea is the change for each step. Its sign sets the lean.
y-interceptb is the output at input zero.
LimitsA rule fits only while its answers make sense.

Which of these is a polynomial?

  • `4/x + 3`
  • `√x + 3`
  • `x/4 + 3`

What is the degree of 3x² − 4x + 7?

  • 2
  • 3, because it has three terms
  • 7, the biggest number in it

What is the value of 4x − 3 at x = 2?

  • 8
  • 5
  • −4

Which of these tables is linear?

  • 2, 4, 8, 16
  • 1, 4, 9, 16
  • 20, 16, 12, 8

For y = 2x + 3, the pair at x = 3 is (3, 9). Where does it go on the grid?

  • 3 across, 9 up
  • 9 across, 3 up
  • 3 across, 3 up

What is the slope of y = 12 − 2x?

  • 12
  • −2
  • 2, since a slope cannot be negative

Where does y = 3x − 2 cut the y-axis?

  • At (0, 3)
  • At (0, 2)
  • At (0, −2)

A balance follows y = 100 − 20t. What does day 6 give?

  • 0, because the rule stops at empty
  • −20, but a balance cannot be below zero
  • 20

Chapter 2 is Ganita Manjari's Introduction to Linear Polynomials. See which of these ideas its exercises use most.

Next: The World of Numbers. It sorts the numbers you have been putting into these rules.

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This track

  1. 0 Start here
  2. 1 Built from whole-number powers
  3. 2 The highest power names it
  4. 3 One input, one output
  5. 4 Equal steps in, equal steps out
  6. 5 Every pair is a point
  7. 6 The number in front, and the lean
  8. 7 The number on its own
  9. 8 Where the rule stops being honest
  10. 9 The big picture
  11. 10 Track quiz

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