Skills · Functions · Intro to Functions

Writing the rule from a table

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

• x starts at 0: x = 0, 1, 2, 3 with y = 1, 4, 7, 10
• x starts somewhere else: x = 1, 2, 3, 4 with y = 4, 7, 10, 13
• x steps by 2: x = 2, 4, 6, 8 with y = 7, 13, 19, 25
• from a story’s table: months 0, 1, 2, 3 with dollars 30, 45, 60, 75

Sample Sheet · Level 1

1. x	0	1	2	3
   y	6	10	14	18

2. x	0	1	2	3
   y	8	11	14	17

3. x	0	1	2	3
   y	4	6	8	10

4. x	0	1	2	3
   y	3	5	7	9

5. x	0	1	2	3
   y	6	11	16	21

6. x	0	1	2	3
   y	7	10	13	16

7. x	0	1	2	3
   y	4	9	14	19

8. A bike shop rents bikes for a flat fee plus the same price each hour. Let x be the number of hours and y the total cost in dollars.

   x	2	3	4	5
   y	19	22	25	28

   slope = per ; y-intercept (0, ) means

Answer key

1. y = 4x + 6
2. y = 3x + 8
3. y = 2x + 4
4. y = 2x + 3
5. y = 5x + 6
6. y = 3x + 7
7. y = 5x + 4
8. y = 3x + 13
   slope = 3 dollars per hour; (0, 13) means the flat fee

Sample Sheet · Level 3

1. x	1	3	5	7
   y	4	6	8	10

2. x	0	1	2	3
   y	−4	−3	−2	−1

3. x	0	1	2	3
   y	9	10	11	12

4. x	−3	−2	−1	0
   y	−16	−11	−6	−1

5. x	1	2	3	4
   y	5	10	15	20

6. x	1	3	5	7
   y	3	9	15	21

7. x	0	1	2	3
   y	−7	−9	−11	−13

8. A water tank drains at a steady rate. Let x be the number of minutes and y the water left in gallons.

   x	3	4	5	6
   y	42	36	30	24

   slope = per ; y-intercept (0, ) means

Answer key

1. y = x + 3
2. y = x − 4
3. y = x + 9
4. y = 5x − 1
5. y = 5x
6. y = 3x
7. y = −2x − 7
8. y = −6x + 60
   slope = −6 gallons per minute; (0, 60) means the water in it at the start

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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