Compare Functions Worksheets Grade 8

Algebra

Different Representations

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

8 problems
  1. Function A: y = 13x + 9. Function B: table below. Which function has the greater y-intercept? x | y 0 | 21 2 | 47 4 | 73 6 | 99
  2. (3 × 10⁴) × (4 × 10⁻²) = ?
  3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). A second triangle is created by translating the first triangle 4 units to the left and 3 units down, then reflecting it across the x-axis. What are the coordinates of the vertices of the final transformed triangle?

…and 5 more problems

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Worksheet 2

8 problems
  1. Function A: y = 13x + 4. Function B: table below. Which function has the greater y-intercept? x | y 0 | 18 2 | 44 4 | 70 6 | 96
  2. Aroha is comparing two different dog-walking services. Service A charges a flat fee of $5 per walk plus $3 per kilometer walked. Service B is described by the equation y = 5x + 9, where y is the total cost in dollars and x is the number of kilometers walked. Aroha wants to know which service is cheaper for a 7-kilometer walk, and by how much. Which service is cheaper, and what is the cost difference?
  3. Function A: y = 7x + 5. Function B: table below. Which function has the greater slope? x | y 1 | 13 3 | 29 5 | 45 7 | 61

…and 5 more problems

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Worksheet 3

8 problems
  1. Function A: y = 8x + 5. Function B: table below. Which function has the greater y-intercept? x | y 0 | 12 2 | 28 4 | 44 6 | 60
  2. A right triangle is drawn on a coordinate plane with vertices at (0,0), (12,0), and (12,5). A second right triangle is drawn with vertices at (0,0), (18,0), and (18,7.5). Are these triangles similar? If so, what is the scale factor from the smaller triangle to the larger triangle?
  3. A right triangle is drawn on a coordinate plane with vertices at (0,0), (8,0), and (0,6). A circle is drawn such that its diameter is the hypotenuse of the triangle. What is the area of the circle? (Use π = 3.14)

…and 5 more problems

Open & Print Worksheet 3

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