Function table
Multiplication and division in-out boxes
Apply and identify exact multiplication or division rules across fourteen tables. Choose factors and divisors from 2 through 12.
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Linear function tables
Substitute five inputs into each of twelve linear rules. Choose whole or fractional slopes, signed or nonnegative inputs, and decimal or exact fraction answers.
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For each table, substitute every x value into the displayed rule and calculate its output. In decimal mode, round to the nearest thousandth when necessary.
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One relationship, several pairs
Match each input with its output before calculating. A rule applies to every pair in the same table; it does not describe the gaps between consecutive inputs.
The preview shows the first student page. Downloads include every practice page; the version with answers adds a separate key with the same table positions. Longer notes or translated instructions may add pages.
Learning objective
What this activity builds
Evaluate a linear rule in the correct operation order and connect equation notation with a table of input-output pairs.
Worked example
For y = −2x + 3, find the outputs for x = −1, 0 and 4.
5, 3 and −5
Multiply each input by negative two first, then add three. For x = −1, the product is 2, giving 5. For x = 4, the product is −8, giving −5.
Teaching notes
Make the practice count
- Choose from y = x + b, y = mx, y = mx + b and fractional-slope rules. Selected families are balanced across twelve tables in a shuffled order.
- Nonnegative inputs include zero. This choice does not prevent negative outputs because the slope or intercept may be negative.
- The worked-example option fills all five outputs in the first table; the remaining eleven tables stay available for practice.
- Function notation f(x) names the output of the rule at x. It is not f multiplied by x.
- Exact fractions avoid rounding. Decimal mode keeps exact terminating values through three places and marks rounded values as approximate.
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A useful next step
Related activities
Numerical patterns
Complete numerical-rule series
Find and check a repeating numerical rule, then complete the last three terms. Choose Fibonacci, alternating addition and subtraction, or alternating multiplication with addition or subtraction.
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Mixed operations
Signed mixed operations
Mix addition, subtraction and multiplication with positive and negative integers, or opt into balanced exact division practice. Choose positive, mixed-sign, or two-negative operands.
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