Patterns and Input/Output Tables — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A Grade 4 table shows inputs 1, 2, 3 with outputs 5, 10, 15. What is the function rule?
A) input plus 4
B) input times 5
C) input times 4 plus 1
D) input plus 5
1 times 5 is 5, 2 times 5 is 10, and 3 times 5 is 15, so the rule input times 5 fits every Grade 4 pair shown.
2. A Grade 4 table shows inputs 4, 5, 6 with outputs 11, 13, 15. What is the function rule?
A) input plus 7
B) input times 2 plus 3
C) input times 3 minus 1
D) input plus 9
4 times 2 plus 3 is 11, 5 times 2 plus 3 is 13, and 6 times 2 plus 3 is 15, so the Grade 4 rule is input times 2 plus 3.
3. A Grade 4 table shows inputs 10, 20, 30 with outputs 2, 4, 6. What is the function rule?
A) input minus 8
B) input divided by 5
C) input divided by 10 times 2
D) input minus 18
10 divided by 10 times 2 is 2, 20 divided by 10 times 2 is 4, and 30 divided by 10 times 2 is 6, fitting this Grade 4 rule.
4. A Grade 4 table shows inputs 7, 8, 9 with outputs 14, 16, 18. What is the function rule?
A) input plus 7
B) input times 2
C) input times 3 minus 7
D) input plus 9
7 times 2 is 14, 8 times 2 is 16, and 9 times 2 is 18, so the Grade 4 function rule is input times 2 for each pair.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A Grade 4 table shows input 3 maps to output 12 and input 5 maps to output 20; the rule is input times 4.
12 divided by 3 equals 4 and 20 divided by 5 equals 4, so the Grade 4 function rule is input times 4 for both pairs.
2. A Grade 4 table shows input 6 maps to output 13 and input 9 maps to output 16; the rule is input plus 7.
13 minus 6 equals 7 and 16 minus 9 equals 7, so the Grade 4 function rule is input plus 7 for both input/output pairs.
3. A Grade 4 table shows input 2 maps to output 9 and input 4 maps to output 17; the rule is input times 4 plus 1.
2 times 4 plus 1 is 9 and 4 times 4 plus 1 is 17, so the Grade 4 rule is input times 4 plus 1 for these pairs.
4. A Grade 4 table shows input 10 maps to output 5 and input 18 maps to output 9; the rule is input divided by 2.
10 divided by 2 equals 5 and 18 divided by 2 equals 9, so the Grade 4 function rule is input divided by 2 for both pairs.
5. A Grade 4 table shows input 5 maps to output 13 and input 8 maps to output 22; the rule is input times 3 minus 2.
5 times 3 minus 2 is 13 and 8 times 3 minus 2 is 22, so the Grade 4 rule is input times 3 minus 2 for both pairs.