Sequences, functions, graphs Quiz - Mathematics Algebra

Free practice quiz: Sequences, functions, graphs (Mathematics Algebra). 27 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Mathematics Algebra practice quiz has 27 multiple-choice questions on Sequences, functions, graphs, and 27 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. What is the term-to-term rule for 3, 7, 11, 15?

   1. add 3
   2. add 4
   3. multiply by 4
   4. add 5
   Show answer

   Answer: B. add 4

   Each term increases by 4.

2. On a distance–time graph, a steeper line means:

   1. slower speed
   2. faster speed
   3. stopped
   4. shorter distance
   Show answer

   Answer: B. faster speed

   Steeper gradient means greater speed.

3. A sequence has nth term 3n. What is the 5th term?

   1. 8
   2. 15
   3. 35
   4. 53
   Show answer

   Answer: B. 15

   Replace n with 5: 3 × 5 = 15.

4. A function machine subtracts 3 from the input. The output is 9. What was the input?

   1. 6
   2. 27
   3. 3
   4. 12
   Show answer

   Answer: D. 12

   Use the inverse: add 3 to the output. 9 + 3 = 12.

5. Which of these lines is parallel to the x-axis?

   1. y = 4
   2. x = 4
   3. y = x
   4. y = 4x
   Show answer

   Answer: A. y = 4

   y = 4 is a horizontal line. Every point on it has y-coordinate 4.

More questions in this quiz

Answers and explanations are in the full quiz.

1. What is the nth term of 2, 4, 6, 8?
2. f(x) = 3x + 2. Find f(4)
3. f(x) = 2x − 5. Find x when f(x) = 9
4. A flat section on a distance–time graph means the object is:
5. What is the next term in 5, 9, 13, 17, ...?
6. The first term of a sequence is 3 and the rule is 'add 6'. What is the third term?
7. Pattern 1 uses 4 matchsticks, pattern 2 uses 7 and pattern 3 uses 10. How many matchsticks does pattern 4 use?
8. What is the term-to-term rule for 20, 17, 14, 11, ...?
9. A sequence has nth term n + 4. What is the 7th term?
10. What is the nth term of 5, 10, 15, 20, ...?
11. What is the nth term of 4, 5, 6, 7, ...?
12. A function machine multiplies the input by 4. What is the output when the input is 6?
13. A function machine adds 5 to the input and then doubles the result. What is the output when the input is 3?
14. A function machine multiplies the input by 3 and then adds 2. The output is 20. What was the input?
15. Each pen costs $2. Which equation gives the total cost C of n pens?
16. Sam is 5 years older than Jo. Jo is j years old. Which equation gives Sam's age s?
17. The output y is always 3 times the input x. Which equation shows this?
18. What does the graph of x = 3 look like?
19. Which point lies on the line y = 2?
20. A cyclist travels 45 km in 3 hours at a steady speed. What is the speed?
21. A tank fills at a steady rate. What does the graph of volume against time look like?
22. On a distance–time graph, a line sloping down towards zero distance means the object is:

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