Grade 8 Compare linear functions Worksheets
Grade 8 practice: Compare rates of change shown by equations and tables. Choose a level below to generate a fresh set of questions.
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Understanding compare linear functions
Comparing linear functions asks students to judge which function changes faster, or has a greater value, when the functions are given in different forms such as an equation and a table. Learners find each function’s rate of change, its slope, and compare them, and they may also compare starting values. This builds fluency in reading slope across multiple representations.
Function A is y = 3x, with a slope of 3. Function B is a table where y increases by 2 for each increase of 1 in x, so its slope is 2. Function A changes faster. A common mistake is comparing single output values at one point instead of the rates of change. Tip: pull the slope from each representation first, the coefficient of x in an equation and the constant output step in a table, then compare those rates directly.
Sample compare linear functions questions
These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.
- Function A is y = 7x + 2. Function B increases by 8 for every increase of 1 in x. Which has the greater rate of change?
- Function A is y = 1x + 2. Function B increases by 10 for every increase of 1 in x. Which has the greater rate of change?
- Function A is y = 2x + 2. Function B increases by 4 for every increase of 1 in x. Which has the greater rate of change?
- Function A is y = 9x + 2. Function B increases by 2 for every increase of 1 in x. Which has the greater rate of change?
Check the sample answers
- Function B
- Function B
- Function B
- Function A
Practice focus
Compare rates of change shown by equations and tables. Show each step and check the answer.
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