Math 7/Unit 4 Practice Test: Patterns and Functions
Name:
Date:
Define the terms below and give an example.
1. arithmetic sequence
2. function
3. linear equation
4. What ordered pair represents the origin?
5. In the ordered pair (2, 4), the 4 represents the ______coordinate
6. In what quadrant is (–4, 3) located?
7. Graph and label each point on the coordinate plane:
A (4, 3)
B (–5, –2)
C (0, –4)
D (–4, 0
8. Give the coordinates of the point on the graph.
9. (CRT) Point Q is graphed on the coordinate plane.
What is the shortest distance from Point Q to the y-axis?
A. / 1 unitB. / 2 units
C. / 3 units
D. / 5 units
10. Write the ordered pairs from the table.
x / y2 / 3
−5 / 6
7 / −8
11. Juan drove to the mountains, rested for an hour, then drove back home. Sketch a graph to show the distance Juan traveled compared to time.
12. Sketch a graph to show the cost of rides compared to the number of rides a student rode at the fair.
Tell which graph corresponds to each situation described in Problems 13 and 14.
13. A rider steadily increases his speed for the first part of his bike ride. Then he keeps a constant speed as he continues his ride.
14. A rider falls about halfway through the ride, but gets up and continues the ride.
15. Find the output (y-value) for each input (x-value)
Input (x) / / Output (y)0
1
2
3
16. (CRT) Look at the input/output table below.
Input / Output1 / 2
3 / 8
5 / 14
7 / 20
What would be the output value when the input value is 12?
A. / 24B. / 26
C. / 35
D. / 44
17. (CRT) Look at the input/output table below.
Input(x) / Output
(y)
3 / −18
6 / −33
9 / −48
12 / ?
What would be the output value (y) when the input value (x) is 12?
A. / −53B. / −63
C. / −73
D. / −81
18. (CRT) Look at the input/output table below.
Input / Output2 / 9
3 / 12
4 / 15
5 / 18
Which rule describes the relationship between the input numbers and the output numbers?
A. / output = 7 + inputB. / output = 4 input
C. / output = (3 input) + 3
D. / output = (4 input) − 2
19. Identify the following sequence as arithmetic or geometric.
2, 6, 18, 54, …
20. Identify the following sequence as arithmetic, geometric or neither.
1, 1, 2, 3, 5, 8, …
21. Write a function to describe the following sequence.
4, 7, 10, 13, …
22. Find the 101st term of the following arithmetic sequence:
−1, 0, 1, 2, …
23. Graph
24. Graph
25. Graph
26. (CRT) Look at the equation below.
In which list are all the ordered pairs solutions of the equation?
A. / , / , /B. / , / , /
C. / , / , /
D. / , / , /
27. (CRT) The line graphed on the coordinate plane represents solutions of a linear equation.
Which ordered pairs are solutions of the linear equation?
A. / , /B. / , /
C. / , /
D. / , /
28. Which ordered pair is not a solution of
a. (2, 6) b. (0, –4) c. (1, 0) d. (–1, –9)
29. (CRT) Which graph represents the equation
30. (CRT) The table below shows the total cost of purchasing peanuts, based on the number of pounds purchased. It includes a service fee.
Number of pounds / 1 / 2 / 3 / 4 / 5 / 6Total cost ($) / 3 / 5 / 7 / 9 / ? / ?
The total cost follows a pattern, and the pattern continues.
A On the graph below, graph the points that represent the information in the table. Be sure to include the total cost for pounds 5 and 6 on your graph.
B If you are not permitted to purchase a fractional part of a pound, explain why you will never have a total cost of $100.
31. Plot the points (−3, −3) , (−2, 1 ) and ( 3, 1) on the coordinate plane below.
Then identify 2 different coordinates of points that would create a parallelogram.
Identify the coordinates and explain your thinking.
Long term memory review:
32. (CRT) What is the value of when ?
A. / 9B. / 13
C. / 17
D. / 21
33. Which pair of rational numbers is equivalent?
A. /B. /
C. /
D. /
34. (CRT) One day, the temperature in a city dropped from 10°F to −3°F. What was the total change in the temperature, in degrees Fahrenheit?
A. / −13B. / −7
C. / 7
D. / 13
Math 7 Practice Test Unit 04: Patterns and Functions Page 9 of 9